Страница 81 - 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 81

App\Models\BookPage {#994 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
  #table: "book_pages"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
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  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:21 [
    "id" => 1114398
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "81"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-81"
    "field_display_title" => "81"
    "field_folder" => "1"
    "field_image_name" => "81"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#304
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1001
      #items: array:1 [
        0 => App\Models\Book {#998
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
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          #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 {#302
              #items: array:1 [
                0 => App\Models\Term {#313
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  #attributes: array:10 [ …10]
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                }
              ]
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            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#997
              #items: array:1 [
                0 => App\Models\Term {#1005
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1003
              #items: array:1 [
                0 => App\Models\Term {#1004
                  #connection: "mysql"
                  #table: "terms"
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                }
              ]
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            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1006
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                0 => App\Models\Term {#1007
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                }
                1 => App\Models\Term {#1008
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1009
              #items: []
              #escapeWhenCastingToString: false
            }
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              #items: array:1 [
                0 => App\Models\Term {#1011
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #original: array:10 [ …10]
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => 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: []
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1014
              #items: array:1 [
                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:6 [ …6]
                  #original: array:6 [ …6]
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1016
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1017
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1018
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1019
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1020
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1021
              #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 => ""
            ]
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              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 {#1022
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1023
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1024
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1025
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => array:3 [
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              "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"
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#302}
            "field_class" => Illuminate\Database\Eloquent\Collection {#997}
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1003}
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            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1010}
            "field_country" => Illuminate\Database\Eloquent\Collection {#1012}
            "field_city" => Illuminate\Database\Eloquent\Collection {#1014}
            "field_series" => Illuminate\Database\Eloquent\Collection {#1016}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1017}
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1018}
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1019}
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1020}
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            "field_publication_year_until" => null
            "field_part" => ""
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            "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
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            "field_isbn" => "978-601-07-0873-0"
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              0 => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592"
            ]
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              0 => ""
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              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1022}
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1023}
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik"
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                "path" => "/media/geometrija_07/Smirnova-u17/0-1/81-1.webp?ts=1753260173"
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              "type" => "book_page"
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            "field_display_title" => "82"
            "field_folder" => "1"
            "field_image_name" => "82"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4211
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              #escapeWhenCastingToString: false
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4338
              #items: []
              #escapeWhenCastingToString: false
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            "content" => Illuminate\Database\Eloquent\Collection {#4339
              #items: array:1 [
                0 => App\Models\Element {#4340
                  #connection: "mysql"
                  #table: "elements"
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                  #original: array:6 [ …6]
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1114400"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4348
              #items: array:5 [
                0 => App\Models\Task {#4349
                  #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: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#4389
                  #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 {#4402
                  #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 {#4415
                  #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 {#4428
                  #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: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1114399
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-82"
            "field_display_title" => "82"
            "field_folder" => "1"
            "field_image_name" => "82"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4211}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4206}
            "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 {#4338}
            "content" => Illuminate\Database\Eloquent\Collection {#4339}
            "next" => array:2 [
              "refs" => "1114400"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4348}
          ]
          #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 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#4215
      #items: array:1 [
        0 => App\Models\BookPage {#4214
          #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" => 1114397
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_display_title" => "80"
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            "field_image_name" => "80"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4216
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4217
              #items: array:1 [
                0 => App\Models\Book {#1201
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  #attributes: array:50 [ …50]
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                }
              ]
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            }
            "field_metatags_title" => null
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            "field_h1" => null
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            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4218
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#4228
              #items: array:1 [
                0 => App\Models\Element {#4227
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114396"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4221
              #items: array:2 [
                0 => App\Models\Task {#4239
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +preventsLazyLoading: false
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                }
                1 => App\Models\Task {#4314
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1114397
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            "field_display_title" => "80"
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            "field_image_name" => "80"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4216}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4217}
            "field_metatags_title" => null
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            "field_h1" => null
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            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4218}
            "content" => Illuminate\Database\Eloquent\Collection {#4228}
            "next" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114396"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4221}
          ]
          #changes: []
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1036
      #items: array:10 [
        0 => App\Models\Task {#1037
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
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          +incrementing: true
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          #attributes: array:24 [
            "id" => 1129699
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_display_title" => "14.1"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1038
              #items: array:1 [
                0 => App\Models\Term {#1039
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
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                  +timestamps: true
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "field_h1" => null
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            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1040
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1041
              #items: array:1 [
                0 => App\Models\Branch {#1042
                  #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]
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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
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1047
              #items: array:2 [
                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048
                  #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]
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                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1057
              #items: array:3 [
                0 => App\Models\Element {#1058
                  #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]
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                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1060
                  #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
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1068
                  #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
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129700"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129698"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1076
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129699
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-1"
            "field_display_title" => "14.1"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1038}
            "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 {#1040}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1041}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1047}
            "content" => Illuminate\Database\Eloquent\Collection {#1057}
            "next" => array:2 [
              "refs" => "1129700"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129698"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1076}
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
          +timestamps: true
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1077
          #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" => 1129700
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-2"
            "field_display_title" => "14.2"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1078
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#1079
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1080
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1081
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                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1082
              #items: array:3 [
                0 => App\Models\Element {#1083
                  #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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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1085
                  #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]
                }
                2 => App\Models\Element {#1087
                  #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
                   …5
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129701"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129699"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1089
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
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            "id" => 1129700
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-2"
            "field_display_title" => "14.2"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1078}
            "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 {#1079}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1080}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1081}
            "content" => Illuminate\Database\Eloquent\Collection {#1082}
            "next" => array:2 [
              "refs" => "1129701"
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            ]
            "previous" => array:2 [
              "refs" => "1129699"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1089}
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
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            0 => "*"
          ]
        }
        2 => App\Models\Task {#1090
          #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" => 1129701
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-3"
            "field_display_title" => "14.3"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1091
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1092
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1093
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1094
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                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1095
              #items: array:3 [
                0 => App\Models\Element {#1096 …30}
                1 => App\Models\Element {#1098 …30}
                2 => App\Models\Element {#1100 …30}
              ]
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            }
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            "book" => Illuminate\Database\Eloquent\Collection {#1102
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                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
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              "type" => "book_page"
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-3"
            "field_display_title" => "14.3"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1091}
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1092}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1093}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1094}
            "content" => Illuminate\Database\Eloquent\Collection {#1095}
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            "book" => Illuminate\Database\Eloquent\Collection {#1102}
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            0 => "*"
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        }
        3 => App\Models\Task {#1103
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          +exists: true
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          #attributes: array:24 [
            "id" => 1129702
            "created_at" => "2026-04-10 13:58:26"
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-4"
            "field_display_title" => "14.4"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1104
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #escapeWhenCastingToString: false
            }
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1105
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1106
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1107
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                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1108
              #items: array:3 [
                0 => App\Models\Element {#1109 …30}
                1 => App\Models\Element {#1111 …30}
                2 => App\Models\Element {#1113 …30}
              ]
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            "book" => Illuminate\Database\Eloquent\Collection {#1115
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                0 => App\Models\Book {#998}
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              #escapeWhenCastingToString: false
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-4"
            "field_display_title" => "14.4"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1104}
            "field_metatags_title" => null
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            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1105}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1106}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1107}
            "content" => Illuminate\Database\Eloquent\Collection {#1108}
            "next" => array:2 [
              "refs" => "1129703"
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              "refs" => "1129701"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1115}
            "page" => array:2 [
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              "type" => "book_page"
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            0 => "*"
          ]
        }
        4 => App\Models\Task {#1116
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
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          #with: []
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            "field_display_title" => "14.5"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1117
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #escapeWhenCastingToString: false
            }
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1118
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1119
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1120
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                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1121
              #items: array:3 [
                0 => App\Models\Element {#1122 …30}
                1 => App\Models\Element {#1124 …30}
                2 => App\Models\Element {#1126 …30}
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            "book" => Illuminate\Database\Eloquent\Collection {#1128
              #items: array:1 [
                0 => App\Models\Book {#998}
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-5"
            "field_display_title" => "14.5"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1117}
            "field_metatags_title" => null
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            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1118}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1119}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1120}
            "content" => Illuminate\Database\Eloquent\Collection {#1121}
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              "refs" => "1129704"
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              "refs" => "1129702"
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            "book" => Illuminate\Database\Eloquent\Collection {#1128}
            "page" => array:2 [
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            0 => "*"
          ]
        }
        5 => App\Models\Task {#1129
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #perPage: 15
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          #attributes: array:24 [
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            "created_at" => "2026-04-10 13:58:26"
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            "field_display_title" => "14.6"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1130
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #escapeWhenCastingToString: false
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            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1132
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1133
              #items: array:2 [
                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1134
              #items: array:3 [
                0 => App\Models\Element {#1135 …30}
                1 => App\Models\Element {#1137 …30}
                2 => App\Models\Element {#1139 …30}
              ]
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            "book" => Illuminate\Database\Eloquent\Collection {#1141
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                0 => App\Models\Book {#998}
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            "field_display_title" => "14.6"
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            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1132}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1133}
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            "book" => Illuminate\Database\Eloquent\Collection {#1141}
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              "refs" => "1114398"
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          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        6 => App\Models\Task {#1142
          #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" => 1129705
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-7"
            "field_display_title" => "14.7"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1143
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #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 {#1144
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1145
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1146
              #items: array:2 [
                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1147
              #items: array:3 [
                0 => App\Models\Element {#1148 …30}
                1 => App\Models\Element {#1150 …30}
                2 => App\Models\Element {#1152 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129706"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129704"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1154
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129705
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-7"
            "field_display_title" => "14.7"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1143}
            "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 {#1144}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1145}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1146}
            "content" => Illuminate\Database\Eloquent\Collection {#1147}
            "next" => array:2 [
              "refs" => "1129706"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129704"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1154}
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        7 => App\Models\Task {#1155
          #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" => 1129706
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-8"
            "field_display_title" => "14.8"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #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 {#1157
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1158
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1159
              #items: array:2 [
                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1160
              #items: array:3 [
                0 => App\Models\Element {#1161 …30}
                1 => App\Models\Element {#1163 …30}
                2 => App\Models\Element {#1165 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129707"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129705"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1167
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129706
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-8"
            "field_display_title" => "14.8"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1156}
            "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 {#1157}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1158}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1159}
            "content" => Illuminate\Database\Eloquent\Collection {#1160}
            "next" => array:2 [
              "refs" => "1129707"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129705"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1167}
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        8 => App\Models\Task {#1168
          #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" => 1129707
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-9"
            "field_display_title" => "14.9"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #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 {#1170
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1171
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1172
              #items: array:2 [
                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1173
              #items: array:3 [
                0 => App\Models\Element {#1174 …30}
                1 => App\Models\Element {#1176 …30}
                2 => App\Models\Element {#1178 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129708"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129706"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1180
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129707
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-9"
            "field_display_title" => "14.9"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1169}
            "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 {#1170}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1171}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1172}
            "content" => Illuminate\Database\Eloquent\Collection {#1173}
            "next" => array:2 [
              "refs" => "1129708"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129706"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1180}
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        9 => App\Models\Task {#1181
          #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" => 1129708
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-10"
            "field_display_title" => "14.10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1182
              #items: array:1 [
                0 => App\Models\Term {#1039}
              ]
              #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 {#1183
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1184
              #items: array:1 [
                0 => App\Models\Branch {#1042}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1185
              #items: array:2 [
                0 => App\Models\Branch {#1042}
                1 => App\Models\Branch {#1048}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1186
              #items: array:3 [
                0 => App\Models\Element {#1187 …30}
                1 => App\Models\Element {#1189 …30}
                2 => App\Models\Element {#1191 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129709"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129707"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1193
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129708
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-10"
            "field_display_title" => "14.10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1182}
            "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 {#1183}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1184}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1185}
            "content" => Illuminate\Database\Eloquent\Collection {#1186}
            "next" => array:2 [
              "refs" => "1129709"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129707"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1193}
            "page" => array:2 [
              "refs" => "1114398"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 1114398
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "81"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-81"
    "field_display_title" => "81"
    "field_folder" => "1"
    "field_image_name" => "81"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#304}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1001}
    "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 {#1026}
    "content" => Illuminate\Database\Eloquent\Collection {#1027}
    "next" => array:2 [
      "refs" => "1114399"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114397"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1036}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #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 81
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