Страница 86 - гдз по геометрии 7 класс учебник Смирнов, Туяков

Геометрия, 7 класс Учебник, авторы: Смирнов Владимир Алексеевич, Туяков Есенкельды Алыбаевич, издательство Мектеп, Алматы, 2017

Авторы: Смирнов В. А., Туяков Е. А.

Тип: Учебник

Издательство: Мектеп

Год издания: 2017 - 2026

ISBN: 978-601-07-0873-0

Утверждено Министерством образования и науки Республики Казахстан

Cтраница 86

App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
  #table: "book_pages"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:21 [
    "id" => 1114403
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "86"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-86"
    "field_display_title" => "86"
    "field_folder" => "1"
    "field_image_name" => "86"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036
      #items: array:1 [
        0 => App\Models\Book {#1006
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:50 [
            "id" => 2907
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1009
              #items: array:1 [
                0 => App\Models\Term {#1007
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [ …10]
                  #original: array:10 [ …10]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1010
              #items: array:1 [
                0 => App\Models\Term {#1011
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012
              #items: array:1 [
                0 => App\Models\Term {#1013
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1014
              #items: array:2 [
                0 => App\Models\Term {#1015
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [ …12]
                  #original: array:12 [ …12]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Term {#1016
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [ …12]
                  #original: array:12 [ …12]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018
              #items: array:1 [
                0 => App\Models\Term {#1019
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [ …10]
                  #original: array:10 [ …10]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1020
              #items: array:1 [
                0 => App\Models\Term {#1021
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1022
              #items: array:1 [
                0 => App\Models\Term {#1023
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1024
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1025
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1027
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1028
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1029
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => "2017"
            "field_publication_year_until" => null
            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебник для 7 класса общеобразовательной школы"
            "field_allowed" => "Утверждено Министерством образования и науки Республики Казахстан"
            "field_reserve_field" => null
            "field_link_to_source" => null
            "field_tasks_count" => "528"
            "field_priority" => "2"
            "field_default_folder" => "/geometrija_07/Smirnova-u17/"
            "field_isbn" => "978-601-07-0873-0"
            "field_cover" => array:1 [
              0 => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592"
            ]
            "field_cover_alts" => array:1 [
              0 => ""
            ]
            "field_covers" => array:1 [
              0 => array:4 [
                "path" => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592"
                "alt" => ""
                "width" => "1632"
                "height" => "2472"
              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1030
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1031
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1032
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "breadcrumbs" => array:3 [
              "class" => 378
              "subject" => 543
              "class_subject" => 389
            ]
          ]
          #original: array:50 [
            "id" => 2907
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1009}
            "field_class" => Illuminate\Database\Eloquent\Collection {#1010}
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012}
            "field_author" => Illuminate\Database\Eloquent\Collection {#1014}
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017}
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018}
            "field_country" => Illuminate\Database\Eloquent\Collection {#1020}
            "field_city" => Illuminate\Database\Eloquent\Collection {#1022}
            "field_series" => Illuminate\Database\Eloquent\Collection {#1024}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1025}
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026}
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1027}
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1028}
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1029}
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => "2017"
            "field_publication_year_until" => null
            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебник для 7 класса общеобразовательной школы"
            "field_allowed" => "Утверждено Министерством образования и науки Республики Казахстан"
            "field_reserve_field" => null
            "field_link_to_source" => null
            "field_tasks_count" => "528"
            "field_priority" => "2"
            "field_default_folder" => "/geometrija_07/Smirnova-u17/"
            "field_isbn" => "978-601-07-0873-0"
            "field_cover" => array:1 [
              0 => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592"
            ]
            "field_cover_alts" => array:1 [
              0 => ""
            ]
            "field_covers" => array:1 [
              0 => array:4 [
                "path" => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592"
                "alt" => ""
                "width" => "1632"
                "height" => "2472"
              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1030}
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1031}
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1032}
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
            "breadcrumbs" => array:3 [
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              "subject" => 543
              "class_subject" => 389
            ]
          ]
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            0 => "*"
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      #escapeWhenCastingToString: false
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    "field_description_bottom" => null
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034
      #items: []
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1045
      #items: array:1 [
        0 => App\Models\Element {#1044
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #perPage: 15
          +exists: true
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          #attributes: array:6 [
            "id" => 1290590
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1054
              #items: array:1 [
                0 => App\Models\Edition {#1046
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
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                  #escapeWhenCastingToString: false
                  #attributes: array:21 [ …21]
                  #original: array:21 [ …21]
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                }
              ]
              #escapeWhenCastingToString: false
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            "book_page" => array:2 [
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              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
                "name" => "86-1.jpg"
                "alt" => null
                "width" => "1935"
                "height" => 2838
                "path" => "/media/geometrija_07/Smirnova-u17/0-1/86-1.webp?ts=1753260173"
              ]
            ]
          ]
          #original: array:6 [
            "id" => 1290590
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1054}
            "book_page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
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                "alt" => null
                "width" => "1935"
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                "path" => "/media/geometrija_07/Smirnova-u17/0-1/86-1.webp?ts=1753260173"
              ]
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      #escapeWhenCastingToString: false
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    "next" => Illuminate\Database\Eloquent\Collection {#4207
      #items: array:1 [
        0 => App\Models\BookPage {#4206
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:21 [
            "id" => 1114404
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "87"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-87"
            "field_display_title" => "87"
            "field_folder" => "1"
            "field_image_name" => "87"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4223
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4222
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4221
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#4318
              #items: array:1 [
                0 => App\Models\Element {#4321
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1114405"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4217
              #items: array:6 [
                0 => App\Models\Task {#4348
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#4354
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#4359
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#4373
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#4387
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#4401
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1114404
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "87"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-87"
            "field_display_title" => "87"
            "field_folder" => "1"
            "field_image_name" => "87"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4223}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4222}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4221}
            "content" => Illuminate\Database\Eloquent\Collection {#4318}
            "next" => array:2 [
              "refs" => "1114405"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4217}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#4202
      #items: array:1 [
        0 => App\Models\BookPage {#4201
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:21 [
            "id" => 1114402
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-85"
            "field_display_title" => "85"
            "field_folder" => "1"
            "field_image_name" => "85"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4203
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4204
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4205
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#4215
              #items: array:1 [
                0 => App\Models\Element {#4214
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114401"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4208
              #items: array:8 [
                0 => App\Models\Task {#4226
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#4232
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#4237
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#4251
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#4265
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#4279
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                6 => App\Models\Task {#4293
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                7 => App\Models\Task {#4307
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1114402
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-85"
            "field_display_title" => "85"
            "field_folder" => "1"
            "field_image_name" => "85"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4203}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4204}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4205}
            "content" => Illuminate\Database\Eloquent\Collection {#4215}
            "next" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114401"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4208}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1038
      #items: array:8 [
        0 => App\Models\Task {#1062
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129723
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-8"
            "field_display_title" => "15.8"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1066
              #items: array:1 [
                0 => App\Models\Term {#1063
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1065
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1100
              #items: array:1 [
                0 => App\Models\Branch {#1064
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1133
              #items: array:2 [
                0 => App\Models\Branch {#1141
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1146
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1130
              #items: array:3 [
                0 => App\Models\Element {#1123
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
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                  #attributeCastCache: []
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1121
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1115
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129724"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129722"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1126
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129723
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-8"
            "field_display_title" => "15.8"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1066}
            "field_metatags_title" => null
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            "field_h1" => null
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            "field_description_bottom" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1065}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1100}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1133}
            "content" => Illuminate\Database\Eloquent\Collection {#1130}
            "next" => array:2 [
              "refs" => "1129724"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129722"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1126}
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
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          #hidden: []
          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1098
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129724
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-9"
            "field_display_title" => "15.9"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1138
              #items: array:1 [
                0 => App\Models\Term {#1063}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1127
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1125
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1129
              #items: array:2 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1103
              #items: array:3 [
                0 => App\Models\Element {#1134
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1135
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1152
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
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                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129725"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129723"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1131
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129724
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-9"
            "field_display_title" => "15.9"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1138}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1127}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1125}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1129}
            "content" => Illuminate\Database\Eloquent\Collection {#1103}
            "next" => array:2 [
              "refs" => "1129725"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129723"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1131}
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
          ]
          #changes: []
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            0 => "*"
          ]
        }
        2 => App\Models\Task {#1128
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129725
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-10"
            "field_display_title" => "15.10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1102
              #items: array:1 [
                0 => App\Models\Term {#1063}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1132
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1140
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1101
              #items: array:2 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1104
              #items: array:3 [
                0 => App\Models\Element {#1162
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
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                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1164
                  #connection: "mysql"
                  #table: "elements"
                   …28
                }
                2 => App\Models\Element {#1166 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129726"
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            "previous" => array:2 [
              "refs" => "1129724"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1159
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114403"
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            ]
          ]
          #original: array:24 [
            "id" => 1129725
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            "updated_at" => null
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-10"
            "field_display_title" => "15.10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1102}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1132}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1140}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1101}
            "content" => Illuminate\Database\Eloquent\Collection {#1104}
            "next" => array:2 [
              "refs" => "1129726"
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            "previous" => array:2 [
              "refs" => "1129724"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1159}
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Task {#1099
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129726
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-11"
            "field_display_title" => "15.11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1107
              #items: array:1 [
                0 => App\Models\Term {#1063}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1158
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1160
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:2 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1155
              #items: array:3 [
                0 => App\Models\Element {#1176 …30}
                1 => App\Models\Element {#1178 …30}
                2 => App\Models\Element {#1180 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129727"
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            "previous" => array:2 [
              "refs" => "1129725"
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            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1173
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
          ]
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            "updated_at" => null
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-11"
            "field_display_title" => "15.11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1107}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1158}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1160}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1156}
            "content" => Illuminate\Database\Eloquent\Collection {#1155}
            "next" => array:2 [
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            "book" => Illuminate\Database\Eloquent\Collection {#1173}
            "page" => array:2 [
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              "type" => "book_page"
            ]
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            0 => "*"
          ]
        }
        4 => App\Models\Task {#1157
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129727
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-12"
            "field_display_title" => "15.12"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1154
              #items: array:1 [
                0 => App\Models\Term {#1063}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1172
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1174
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:2 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:3 [
                0 => App\Models\Element {#1190 …30}
                1 => App\Models\Element {#1192 …30}
                2 => App\Models\Element {#1194 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129728"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129726"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1187
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
          ]
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            "id" => 1129727
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-12"
            "field_display_title" => "15.12"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1154}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1172}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1174}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1170}
            "content" => Illuminate\Database\Eloquent\Collection {#1169}
            "next" => array:2 [
              "refs" => "1129728"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129726"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1187}
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          +timestamps: true
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        5 => App\Models\Task {#1171
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
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          #attributes: array:24 [
            "id" => 1129728
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-13"
            "field_display_title" => "15.13"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1168
              #items: array:1 [
                0 => App\Models\Term {#1063}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1186
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1188
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184
              #items: array:2 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1183
              #items: array:3 [
                0 => App\Models\Element {#1204 …30}
                1 => App\Models\Element {#1206 …30}
                2 => App\Models\Element {#1208 …30}
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            }
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            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1201
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                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114403"
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            ]
          ]
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            "field_display_title" => "15.13"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1168}
            "field_metatags_title" => null
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            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1188}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184}
            "content" => Illuminate\Database\Eloquent\Collection {#1183}
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            "page" => array:2 [
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          ]
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            0 => "*"
          ]
        }
        6 => App\Models\Task {#1185
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
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          #with: []
          #withCount: []
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          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129729
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-14"
            "field_display_title" => "15.14"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1182
              #items: array:1 [
                0 => App\Models\Term {#1063}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1200
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1198
              #items: array:2 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1197
              #items: array:3 [
                0 => App\Models\Element {#1218 …30}
                1 => App\Models\Element {#1220 …30}
                2 => App\Models\Element {#1222 …30}
              ]
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            }
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            ]
            "previous" => array:2 [
              "refs" => "1129728"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1215
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
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            ]
          ]
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            "id" => 1129729
            "created_at" => "2026-04-10 13:58:26"
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-14"
            "field_display_title" => "15.14"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1182}
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1200}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1198}
            "content" => Illuminate\Database\Eloquent\Collection {#1197}
            "next" => array:2 [
              "refs" => "1129730"
              "type" => "task"
            ]
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            "book" => Illuminate\Database\Eloquent\Collection {#1215}
            "page" => array:2 [
              "refs" => "1114403"
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          ]
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            0 => "*"
          ]
        }
        7 => App\Models\Task {#1199
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
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            "id" => 1129730
            "created_at" => "2026-04-10 13:58:26"
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-15"
            "field_display_title" => "15.15"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1196
              #items: array:1 [
                0 => App\Models\Term {#1063}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1214
              #items: []
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            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1216
              #items: array:1 [
                0 => App\Models\Branch {#1141}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1212
              #items: array:2 [
                0 => App\Models\Branch {#1141}
                1 => App\Models\Branch {#1146}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1211
              #items: array:3 [
                0 => App\Models\Element {#1232 …30}
                1 => App\Models\Element {#1234 …30}
                2 => App\Models\Element {#1236 …30}
              ]
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            "book" => Illuminate\Database\Eloquent\Collection {#1229
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                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
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            ]
          ]
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            "created_at" => "2026-04-10 13:58:26"
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/15-15"
            "field_display_title" => "15.15"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1196}
            "field_metatags_title" => null
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            "field_h1" => null
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            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1214}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1216}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1212}
            "content" => Illuminate\Database\Eloquent\Collection {#1211}
            "next" => array:2 [
              "refs" => "1129731"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129729"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1229}
            "page" => array:2 [
              "refs" => "1114403"
              "type" => "book_page"
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          ]
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
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  ]
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    "field_page_start" => "86"
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    "field_display_title" => "86"
    "field_folder" => "1"
    "field_image_name" => "86"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036}
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034}
    "content" => Illuminate\Database\Eloquent\Collection {#1045}
    "next" => array:2 [
      "refs" => "1114404"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114402"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1038}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
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  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 7 класс Учебник, авторы: Смирнов Владимир Алексеевич, Туяков Есенкельды Алыбаевич, издательство Мектеп, Алматы, 2017, страница 86
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