Страница 82 - гдз по геометрии 11 класс учебник Солтан, Солтан

Геометрия, 11 класс Учебник, авторы: Солтан Г Н, Солтан Алла Евгеньевна, Жумадилова Аманбала Жумадиловна, издательство Кокшетау, Алматы, 2020

Авторы: Солтан Г. Н., Солтан А. Е., Жумадилова А. Ж.

Тип: Учебник

Издательство: Кокшетау

Год издания: 2020 - 2026

ISBN: 978-601-317-528-7

Рекомендовано Министерством образования и науки Республики Казахстан

Cтраница 82

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" => 1116712
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "82"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-82"
    "field_display_title" => "82"
    "field_folder" => "1"
    "field_image_name" => "82"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016
      #items: array:1 [
        0 => App\Models\Book {#1015
          #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" => 4313
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1020
              #items: array:1 [
                0 => App\Models\Term {#1017
                  #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: []
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                  #dateFormat: null
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1022
              #items: array:1 [
                0 => App\Models\Term {#1019
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1030
              #items: array:1 [
                0 => App\Models\Term {#1029
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1021
              #items: array:3 [
                0 => App\Models\Term {#1035
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [ …12]
                  #original: array:12 [ …12]
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Term {#1036
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:12 [ …12]
                  #original: array:12 [ …12]
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                  #visible: []
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                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Term {#1037
                  #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: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1032
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1033
              #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:10 [ …10]
                  #original: array:10 [ …10]
                  #changes: []
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                  #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 {#1026
              #items: array:1 [
                0 => App\Models\Term {#1031
                  #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: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1024
              #items: array:1 [
                0 => App\Models\Term {#1027
                  #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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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1025
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1018
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1038
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1039
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1040
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1041
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => "2020"
            "field_publication_year_until" => null
            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "для учащихся 10 (ч. 1), 11 (ч. 2) классов естественно-математического направления общеобразовательной школы"
            "field_allowed" => "Рекомендовано Министерством образования и науки Республики Казахстан"
            "field_reserve_field" => null
            "field_link_to_source" => null
            "field_tasks_count" => "679"
            "field_priority" => "8"
            "field_default_folder" => "/geometrija_11/Kokshetau-u20/"
            "field_isbn" => "978-601-317-528-7"
            "field_cover" => array:1 [
              0 => "/media/geometrija_11/Kokshetau-u20/covers/cover1.webp"
            ]
            "field_cover_alts" => array:1 [
              0 => ""
            ]
            "field_covers" => array:1 [
              0 => array:4 [
                "path" => "/media/geometrija_11/Kokshetau-u20/covers/cover1.webp"
                "alt" => ""
                "width" => "1632"
                "height" => "2472"
              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1042
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1043
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1044
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1045
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
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            "breadcrumbs" => array:3 [
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              "subject" => 543
              "class_subject" => 393
            ]
          ]
          #original: array:50 [
            "id" => 4313
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            "updated_at" => null
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#1020}
            "field_class" => Illuminate\Database\Eloquent\Collection {#1022}
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1030}
            "field_author" => Illuminate\Database\Eloquent\Collection {#1021}
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1032}
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1033}
            "field_country" => Illuminate\Database\Eloquent\Collection {#1026}
            "field_city" => Illuminate\Database\Eloquent\Collection {#1024}
            "field_series" => Illuminate\Database\Eloquent\Collection {#1025}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1018}
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1038}
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1039}
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1040}
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            "field_publication_year" => "2020"
            "field_publication_year_until" => null
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            "field_for_whom" => "для учащихся 10 (ч. 1), 11 (ч. 2) классов естественно-математического направления общеобразовательной школы"
            "field_allowed" => "Рекомендовано Министерством образования и науки Республики Казахстан"
            "field_reserve_field" => null
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            "field_tasks_count" => "679"
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            "field_isbn" => "978-601-317-528-7"
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              0 => "/media/geometrija_11/Kokshetau-u20/covers/cover1.webp"
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              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1042}
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1043}
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1044}
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1045}
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    "content" => Illuminate\Database\Eloquent\Collection {#1049
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    "next" => Illuminate\Database\Eloquent\Collection {#3754
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            "field_display_title" => "83"
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            "field_image_name" => "83"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3766
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
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              #escapeWhenCastingToString: false
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              #escapeWhenCastingToString: false
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            "content" => Illuminate\Database\Eloquent\Collection {#3790
              #items: array:1 [
                0 => App\Models\Element {#3792
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
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                  #with: []
                  #withCount: []
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                  #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: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1116714"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3778
              #items: array:6 [
                0 => App\Models\Task {#3811
                  #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
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                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#3817
                  #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
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#3822
                  #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 {#3836
                  #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
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#3850
                  #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: []
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                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#3864
                  #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]
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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
            }
          ]
          #original: array:21 [
            "id" => 1116713
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
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            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-83"
            "field_display_title" => "83"
            "field_folder" => "1"
            "field_image_name" => "83"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3766}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3759}
            "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 {#3758}
            "content" => Illuminate\Database\Eloquent\Collection {#3790}
            "next" => array:2 [
              "refs" => "1116714"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3778}
          ]
          #changes: []
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#3749
      #items: array:1 [
        0 => App\Models\BookPage {#3748
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #perPage: 15
          +exists: true
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          #attributes: array:21 [
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            "created_at" => "2026-04-08 17:28:58"
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            "field_display_title" => "81"
            "field_folder" => "1"
            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3750
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3751
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "field_h1" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3752
              #items: []
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            }
            "content" => Illuminate\Database\Eloquent\Collection {#3762
              #items: array:1 [
                0 => App\Models\Element {#3761
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:6 [ …6]
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                }
              ]
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            }
            "next" => array:2 [
              "refs" => "1116712"
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            "previous" => array:2 [
              "refs" => "1116710"
              "type" => "book_page"
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            "tasks" => Illuminate\Database\Eloquent\Collection {#3755
              #items: array:2 [
                0 => App\Models\Task {#3767
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
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                }
                1 => App\Models\Task {#3773
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                }
              ]
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            }
          ]
          #original: array:21 [
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            "field_display_title" => "81"
            "field_folder" => "1"
            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3750}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3751}
            "field_metatags_title" => null
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            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3752}
            "content" => Illuminate\Database\Eloquent\Collection {#3762}
            "next" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116710"
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            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3755}
          ]
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1012
      #items: array:10 [
        0 => App\Models\Task {#1068
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #attributes: array:24 [
            "id" => 1144445
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
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            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-240"
            "field_display_title" => "240"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1072
              #items: array:1 [
                0 => App\Models\Term {#1069
                  #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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                }
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#1071
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1106
              #items: array:1 [
                0 => App\Models\Branch {#1070
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:23 [ …23]
                  #original: array:23 [ …23]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1139
              #items: array:2 [
                0 => App\Models\Branch {#1147
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:23 [ …23]
                  #original: array:23 [ …23]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1151
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:23 [ …23]
                  #original: array:23 [ …23]
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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 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1136
              #items: array:3 [
                0 => App\Models\Element {#1129
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1127
                  #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]
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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 {#1121
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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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" => "1144446"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144444"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1132
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144445
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-240"
            "field_display_title" => "240"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1072}
            "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 {#1071}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1106}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1139}
            "content" => Illuminate\Database\Eloquent\Collection {#1136}
            "next" => array:2 [
              "refs" => "1144446"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144444"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1132}
            "page" => array:2 [
              "refs" => "1116712"
              "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 => "*"
          ]
        }
        1 => App\Models\Task {#1104
          #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" => 1144446
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-241"
            "field_display_title" => "241"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1144
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1133
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1131
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1135
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1108
              #items: array:3 [
                0 => App\Models\Element {#1140
                  #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: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1141
                  #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: []
                   …7
                }
                2 => App\Models\Element {#1156 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144447"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144445"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1137
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144446
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-241"
            "field_display_title" => "241"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1144}
            "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 {#1133}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1131}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1135}
            "content" => Illuminate\Database\Eloquent\Collection {#1108}
            "next" => array:2 [
              "refs" => "1144447"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144445"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1137}
            "page" => array:2 [
              "refs" => "1116712"
              "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 => "*"
          ]
        }
        2 => App\Models\Task {#1134
          #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" => 1144447
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-242"
            "field_display_title" => "242"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1105
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1138
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1146
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1110
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1112
              #items: array:3 [
                0 => App\Models\Element {#1166 …30}
                1 => App\Models\Element {#1168 …30}
                2 => App\Models\Element {#1170 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144448"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144446"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1163
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144447
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-242"
            "field_display_title" => "242"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1105}
            "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 {#1138}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1146}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1110}
            "content" => Illuminate\Database\Eloquent\Collection {#1112}
            "next" => array:2 [
              "refs" => "1144448"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144446"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1163}
            "page" => array:2 [
              "refs" => "1116712"
              "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 => "*"
          ]
        }
        3 => App\Models\Task {#1107
          #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" => 1144448
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-243"
            "field_display_title" => "243"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1111
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1162
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1164
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1160
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1159
              #items: array:3 [
                0 => App\Models\Element {#1180 …30}
                1 => App\Models\Element {#1182 …30}
                2 => App\Models\Element {#1184 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144449"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144447"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1177
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144448
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-243"
            "field_display_title" => "243"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1111}
            "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 {#1162}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1164}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1160}
            "content" => Illuminate\Database\Eloquent\Collection {#1159}
            "next" => array:2 [
              "refs" => "1144449"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144447"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1177}
            "page" => array:2 [
              "refs" => "1116712"
              "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 => "*"
          ]
        }
        4 => App\Models\Task {#1161
          #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" => 1144449
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-244"
            "field_display_title" => "244"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1158
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1176
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1178
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1174
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1173
              #items: array:3 [
                0 => App\Models\Element {#1194 …30}
                1 => App\Models\Element {#1196 …30}
                2 => App\Models\Element {#1198 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144450"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144448"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1191
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144449
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-244"
            "field_display_title" => "244"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1158}
            "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 {#1176}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1178}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1174}
            "content" => Illuminate\Database\Eloquent\Collection {#1173}
            "next" => array:2 [
              "refs" => "1144450"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144448"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1191}
            "page" => array:2 [
              "refs" => "1116712"
              "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 => "*"
          ]
        }
        5 => App\Models\Task {#1175
          #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" => 1144450
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-245"
            "field_display_title" => "245"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1172
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1190
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1192
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1188
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1187
              #items: array:3 [
                0 => App\Models\Element {#1208 …30}
                1 => App\Models\Element {#1210 …30}
                2 => App\Models\Element {#1212 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144451"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144449"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1205
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144450
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-245"
            "field_display_title" => "245"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1172}
            "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 {#1190}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1192}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1188}
            "content" => Illuminate\Database\Eloquent\Collection {#1187}
            "next" => array:2 [
              "refs" => "1144451"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144449"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1205}
            "page" => array:2 [
              "refs" => "1116712"
              "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 => "*"
          ]
        }
        6 => App\Models\Task {#1189
          #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" => 1144451
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-246"
            "field_display_title" => "246"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1186
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1204
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1206
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1202
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1201
              #items: array:3 [
                0 => App\Models\Element {#1222 …30}
                1 => App\Models\Element {#1224 …30}
                2 => App\Models\Element {#1226 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144452"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144450"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1219
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144451
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-246"
            "field_display_title" => "246"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1186}
            "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 {#1204}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1206}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1202}
            "content" => Illuminate\Database\Eloquent\Collection {#1201}
            "next" => array:2 [
              "refs" => "1144452"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144450"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1219}
            "page" => array:2 [
              "refs" => "1116712"
              "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 {#1203
          #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" => 1144452
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-247"
            "field_display_title" => "247"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1200
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1218
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1220
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1216
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1215
              #items: array:3 [
                0 => App\Models\Element {#1236 …30}
                1 => App\Models\Element {#1238 …30}
                2 => App\Models\Element {#1240 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144453"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144451"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1233
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144452
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-247"
            "field_display_title" => "247"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1200}
            "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 {#1218}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1220}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1216}
            "content" => Illuminate\Database\Eloquent\Collection {#1215}
            "next" => array:2 [
              "refs" => "1144453"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144451"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1233}
            "page" => array:2 [
              "refs" => "1116712"
              "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 {#1217
          #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" => 1144453
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-248"
            "field_display_title" => "248"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1214
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1232
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1234
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1230
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1229
              #items: array:3 [
                0 => App\Models\Element {#1250 …30}
                1 => App\Models\Element {#1252 …30}
                2 => App\Models\Element {#1254 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144454"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144452"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1247
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144453
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-248"
            "field_display_title" => "248"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1214}
            "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 {#1232}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1234}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1230}
            "content" => Illuminate\Database\Eloquent\Collection {#1229}
            "next" => array:2 [
              "refs" => "1144454"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144452"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1247}
            "page" => array:2 [
              "refs" => "1116712"
              "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 {#1231
          #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" => 1144454
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-249"
            "field_display_title" => "249"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1228
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1246
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1248
              #items: array:1 [
                0 => App\Models\Branch {#1147}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1244
              #items: array:2 [
                0 => App\Models\Branch {#1147}
                1 => App\Models\Branch {#1151}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1243
              #items: array:3 [
                0 => App\Models\Element {#1264 …30}
                1 => App\Models\Element {#1266 …30}
                2 => App\Models\Element {#1268 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144455"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144453"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1261
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116712"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144454
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-249"
            "field_display_title" => "249"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1228}
            "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 {#1246}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1248}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1244}
            "content" => Illuminate\Database\Eloquent\Collection {#1243}
            "next" => array:2 [
              "refs" => "1144455"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144453"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1261}
            "page" => array:2 [
              "refs" => "1116712"
              "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" => 1116712
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "82"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-82"
    "field_display_title" => "82"
    "field_folder" => "1"
    "field_image_name" => "82"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016}
    "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 {#1007}
    "content" => Illuminate\Database\Eloquent\Collection {#1049}
    "next" => array:2 [
      "refs" => "1116713"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1116711"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1012}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 11 класс Учебник, авторы: Солтан Г Н, Солтан Алла Евгеньевна, Жумадилова Аманбала Жумадиловна, издательство Кокшетау, Алматы, 2020, страница 82
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