Страница 53 - 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 53

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: []
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  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:21 [
    "id" => 1116683
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "53"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-53"
    "field_display_title" => "53"
    "field_folder" => "1"
    "field_image_name" => "53"
    "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: []
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          #attributes: array:50 [
            "id" => 4313
            "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 {#1020
              #items: array:1 [
                0 => App\Models\Term {#1017
                  #connection: "mysql"
                  #table: "terms"
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                  #keyType: "int"
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                  #attributes: array:10 [ …10]
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                }
              ]
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            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1022
              #items: array:1 [
                0 => App\Models\Term {#1019
                  #connection: "mysql"
                  #table: "terms"
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                  #hidden: []
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                  #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"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1021
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                0 => App\Models\Term {#1035
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                }
                1 => App\Models\Term {#1036
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                }
                2 => App\Models\Term {#1037
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  +preventsLazyLoading: false
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                  #escapeWhenCastingToString: false
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                  +timestamps: true
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                  #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"
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                  #attributes: array:10 [ …10]
                  #original: array:10 [ …10]
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                  #touches: []
                  +timestamps: true
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                  #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
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #hidden: []
                  #visible: []
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                  #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
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                }
              ]
              #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
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            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1040
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              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1041
              #items: []
              #escapeWhenCastingToString: false
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            "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
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            "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?ts=1753338288"
            ]
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              0 => ""
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              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1042
              #items: []
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            }
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            }
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              #escapeWhenCastingToString: false
            }
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1045
              #items: []
              #escapeWhenCastingToString: false
            }
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            "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}
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            "field_country" => Illuminate\Database\Eloquent\Collection {#1026}
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                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3767
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3758
              #items: array:1 [
                0 => App\Models\Element {#3757
                  #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
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1116685"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3765
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1116684
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "54"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-54"
            "field_display_title" => "54"
            "field_folder" => "1"
            "field_image_name" => "54"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3741}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3768}
            "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 {#3767}
            "content" => Illuminate\Database\Eloquent\Collection {#3758}
            "next" => array:2 [
              "refs" => "1116685"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3765}
          ]
          #changes: []
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          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
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          #touches: []
          +timestamps: true
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          #hidden: []
          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#3725
      #items: array:1 [
        0 => App\Models\BookPage {#3724
          #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" => 1116682
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "52"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-52"
            "field_display_title" => "52"
            "field_folder" => "1"
            "field_image_name" => "52"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3726
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3727
              #items: array:1 [
                0 => App\Models\Book {#1508}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3728
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3738
              #items: array:1 [
                0 => App\Models\Element {#3737
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116681"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3805
              #items: array:9 [
                0 => App\Models\Task {#3821
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#3827
                  #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 {#3832
                  #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 {#3846
                  #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: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#3860
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#3874
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                6 => App\Models\Task {#3888
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                7 => App\Models\Task {#3902
                  #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]
                }
                8 => App\Models\Task {#3916
                  #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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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1116682
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "52"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-52"
            "field_display_title" => "52"
            "field_folder" => "1"
            "field_image_name" => "52"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3726}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3727}
            "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 {#3728}
            "content" => Illuminate\Database\Eloquent\Collection {#3738}
            "next" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116681"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3805}
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          +timestamps: true
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009
      #items: array:9 [
        0 => App\Models\Task {#1065
          #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" => 1144326
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "52"
            "field_page_end" => "53"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-126"
            "field_display_title" => "126"
            "field_outside_task" => "0"
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1072
              #items: array:1 [
                0 => App\Models\Term {#1068
                  #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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                  #touches: []
                  +timestamps: true
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1071
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1081
              #items: array:1 [
                0 => App\Models\Branch {#1080
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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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 {#1112
              #items: array:2 [
                0 => App\Models\Branch {#1120
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1124
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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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
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1109
              #items: array:3 [
                0 => App\Models\Element {#1102
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1100
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1097
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144327"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144325"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1105
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116682"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144326
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "52"
            "field_page_end" => "53"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-126"
            "field_display_title" => "126"
            "field_outside_task" => "0"
            "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 {#1081}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1112}
            "content" => Illuminate\Database\Eloquent\Collection {#1109}
            "next" => array:2 [
              "refs" => "1144327"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144325"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1105}
            "page" => array:2 [
              "refs" => "1116682"
              "type" => "book_page"
            ]
          ]
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1073
          #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" => 1144327
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-127"
            "field_display_title" => "127"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1117
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1106
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1104
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1108
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1077
              #items: array:3 [
                0 => App\Models\Element {#1128
                  #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 {#1129
                  #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 {#1133
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144328"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144326"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1089
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144327
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-127"
            "field_display_title" => "127"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1117}
            "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 {#1106}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1104}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1108}
            "content" => Illuminate\Database\Eloquent\Collection {#1077}
            "next" => array:2 [
              "refs" => "1144328"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144326"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1089}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #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 => "*"
          ]
        }
        2 => 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" => 1144328
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-128"
            "field_display_title" => "128"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1074
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1095
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1094
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1098
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1093
              #items: array:3 [
                0 => App\Models\Element {#1144
                  #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]
                   …16
                }
                1 => App\Models\Element {#1146 …30}
                2 => App\Models\Element {#1148 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144329"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144327"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1141
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144328
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-128"
            "field_display_title" => "128"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1074}
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1095}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1094}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1098}
            "content" => Illuminate\Database\Eloquent\Collection {#1093}
            "next" => array:2 [
              "refs" => "1144329"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144327"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1141}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
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          #hidden: []
          #visible: []
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            0 => "*"
          ]
        }
        3 => App\Models\Task {#1096
          #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" => 1144329
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-129"
            "field_display_title" => "129"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1099
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1140
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1142
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1138
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1137
              #items: array:3 [
                0 => App\Models\Element {#1158 …30}
                1 => App\Models\Element {#1160 …30}
                2 => App\Models\Element {#1162 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144330"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144328"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1155
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144329
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-129"
            "field_display_title" => "129"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1099}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1140}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1142}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1138}
            "content" => Illuminate\Database\Eloquent\Collection {#1137}
            "next" => array:2 [
              "refs" => "1144330"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144328"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1155}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
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          #attributeCastCache: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        4 => App\Models\Task {#1139
          #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" => 1144330
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-130"
            "field_display_title" => "130"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1136
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1154
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1152
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1151
              #items: array:3 [
                0 => App\Models\Element {#1172 …30}
                1 => App\Models\Element {#1174 …30}
                2 => App\Models\Element {#1176 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144331"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144329"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144330
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-130"
            "field_display_title" => "130"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1136}
            "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 {#1154}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1156}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1152}
            "content" => Illuminate\Database\Eloquent\Collection {#1151}
            "next" => array:2 [
              "refs" => "1144331"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144329"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1169}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #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 [
            0 => "*"
          ]
        }
        5 => App\Models\Task {#1153
          #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" => 1144331
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-131"
            "field_display_title" => "131"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1150
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #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 {#1168
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1166
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1165
              #items: array:3 [
                0 => App\Models\Element {#1186 …30}
                1 => App\Models\Element {#1188 …30}
                2 => App\Models\Element {#1190 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144332"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144330"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1183
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144331
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-131"
            "field_display_title" => "131"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1150}
            "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 {#1168}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1170}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1166}
            "content" => Illuminate\Database\Eloquent\Collection {#1165}
            "next" => array:2 [
              "refs" => "1144332"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144330"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1183}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        6 => App\Models\Task {#1167
          #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" => 1144332
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-132"
            "field_display_title" => "132"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1164
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #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 {#1182
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1184
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1180
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1179
              #items: array:3 [
                0 => App\Models\Element {#1200 …30}
                1 => App\Models\Element {#1202 …30}
                2 => App\Models\Element {#1204 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144333"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144331"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1197
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
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            "updated_at" => null
            "field_page_start" => "53"
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            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-132"
            "field_display_title" => "132"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1164}
            "field_metatags_title" => null
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            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1182}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1184}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1180}
            "content" => Illuminate\Database\Eloquent\Collection {#1179}
            "next" => array:2 [
              "refs" => "1144333"
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            ]
            "previous" => array:2 [
              "refs" => "1144331"
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            "book" => Illuminate\Database\Eloquent\Collection {#1197}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
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          ]
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            0 => "*"
          ]
        }
        7 => App\Models\Task {#1181
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
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          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
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          #attributes: array:24 [
            "id" => 1144333
            "created_at" => "2026-04-10 13:58:26"
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            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-133"
            "field_display_title" => "133"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1178
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #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 {#1196
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1198
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1194
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1193
              #items: array:3 [
                0 => App\Models\Element {#1214 …30}
                1 => App\Models\Element {#1216 …30}
                2 => App\Models\Element {#1218 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144334"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144332"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1211
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144333
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-133"
            "field_display_title" => "133"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1178}
            "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 {#1196}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1198}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1194}
            "content" => Illuminate\Database\Eloquent\Collection {#1193}
            "next" => array:2 [
              "refs" => "1144334"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144332"
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            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1211}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #changes: []
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            0 => "*"
          ]
        }
        8 => App\Models\Task {#1195
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          +exists: true
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          #attributes: array:24 [
            "id" => 1144334
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            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-134"
            "field_display_title" => "134"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1192
              #items: array:1 [
                0 => App\Models\Term {#1068}
              ]
              #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 {#1210
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1212
              #items: array:1 [
                0 => App\Models\Branch {#1120}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1208
              #items: array:2 [
                0 => App\Models\Branch {#1120}
                1 => App\Models\Branch {#1124}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1207
              #items: array:3 [
                0 => App\Models\Element {#1228 …30}
                1 => App\Models\Element {#1230 …30}
                2 => App\Models\Element {#1232 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144335"
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              "refs" => "1144333"
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            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1225
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
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            "id" => 1144334
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            "updated_at" => null
            "field_page_start" => "53"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-134"
            "field_display_title" => "134"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1192}
            "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 {#1210}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1212}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1208}
            "content" => Illuminate\Database\Eloquent\Collection {#1207}
            "next" => array:2 [
              "refs" => "1144335"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144333"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1225}
            "page" => array:2 [
              "refs" => "1116683"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #attributeCastCache: []
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          #appends: []
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          #touches: []
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          #guarded: array:1 [
            0 => "*"
          ]
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      ]
      #escapeWhenCastingToString: false
    }
  ]
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    "id" => 1116683
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "53"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-53"
    "field_display_title" => "53"
    "field_folder" => "1"
    "field_image_name" => "53"
    "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" => "1116684"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1116682"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009}
  ]
  #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 53
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