Страница 170 - 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 170

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" => 1116800
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "170"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-170"
    "field_display_title" => "170"
    "field_folder" => "1"
    "field_image_name" => "170"
    "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: []
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                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [ …10]
                  #original: array:10 [ …10]
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                  #hidden: []
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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
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                  #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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                  +exists: true
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #hidden: []
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                  #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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                  #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: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #touches: []
                  +timestamps: true
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                  #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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                  #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
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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_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"
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            "field_isbn" => "978-601-317-528-7"
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              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1042}
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1043}
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            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1045}
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    "next" => Illuminate\Database\Eloquent\Collection {#3774
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            "created_at" => "2026-04-08 17:28:58"
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            "field_display_title" => "171"
            "field_folder" => "1"
            "field_image_name" => "171"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3712
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
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                0 => App\Models\Book {#1015}
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              #escapeWhenCastingToString: false
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              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3729
              #items: array:1 [
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                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
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                  #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" => "1116802"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3735
              #items: array:6 [
                0 => App\Models\Task {#3720
                  #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 {#3714
                  #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 {#3773
                  #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 {#3752
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#3747
                  #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 {#3782
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1116801
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "171"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-171"
            "field_display_title" => "171"
            "field_folder" => "1"
            "field_image_name" => "171"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3712}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3739}
            "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 {#3738}
            "content" => Illuminate\Database\Eloquent\Collection {#3729}
            "next" => array:2 [
              "refs" => "1116802"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3735}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#3696
      #items: array:1 [
        0 => App\Models\BookPage {#3695
          #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" => 1116799
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "169"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-169"
            "field_display_title" => "169"
            "field_folder" => "1"
            "field_image_name" => "169"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3697
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3698
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #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 {#3699
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3709
              #items: array:1 [
                0 => App\Models\Element {#3708
                  #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" => "1116800"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116798"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3777
              #items: array:6 [
                0 => App\Models\Task {#3789
                  #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 {#3795
                  #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 {#3800
                  #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 {#3814
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#3828
                  #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 {#3842
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1116799
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "169"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-169"
            "field_display_title" => "169"
            "field_folder" => "1"
            "field_image_name" => "169"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3697}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3698}
            "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 {#3699}
            "content" => Illuminate\Database\Eloquent\Collection {#3709}
            "next" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116798"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3777}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009
      #items: array:7 [
        0 => App\Models\Task {#1064
          #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" => 1144809
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "169"
            "field_page_end" => "170"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-590"
            "field_display_title" => "590"
            "field_outside_task" => "0"
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1069
              #items: array:1 [
                0 => App\Models\Term {#1067
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1068
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1079
              #items: array:1 [
                0 => App\Models\Branch {#1078
                  #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: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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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 {#1110
              #items: array:2 [
                0 => App\Models\Branch {#1118
                  #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: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1122
                  #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
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1107
              #items: array:3 [
                0 => 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:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1098
                  #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 {#1095
                  #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" => "1144810"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144808"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1103
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116799"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144809
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "169"
            "field_page_end" => "170"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-590"
            "field_display_title" => "590"
            "field_outside_task" => "0"
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1069}
            "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 {#1068}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1079}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1110}
            "content" => Illuminate\Database\Eloquent\Collection {#1107}
            "next" => array:2 [
              "refs" => "1144810"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144808"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1103}
            "page" => array:2 [
              "refs" => "1116799"
              "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 {#1071
          #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" => 1144810
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-591"
            "field_display_title" => "591"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1115
              #items: array:1 [
                0 => App\Models\Term {#1067}
              ]
              #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 {#1104
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1102
              #items: array:1 [
                0 => App\Models\Branch {#1118}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1106
              #items: array:2 [
                0 => App\Models\Branch {#1118}
                1 => App\Models\Branch {#1122}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1075
              #items: array:3 [
                0 => App\Models\Element {#1126
                  #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: []
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                  #relations: []
                  #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]
                  #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 {#1131
                  #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" => "1144811"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144809"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1087
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144810
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-591"
            "field_display_title" => "591"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1115}
            "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 {#1104}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1102}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1106}
            "content" => Illuminate\Database\Eloquent\Collection {#1075}
            "next" => array:2 [
              "refs" => "1144811"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144809"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1087}
            "page" => array:2 [
              "refs" => "1116800"
              "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 {#1105
          #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" => 1144811
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-592"
            "field_display_title" => "592"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1072
              #items: array:1 [
                0 => App\Models\Term {#1067}
              ]
              #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 {#1093
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1092
              #items: array:1 [
                0 => App\Models\Branch {#1118}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1096
              #items: array:2 [
                0 => App\Models\Branch {#1118}
                1 => App\Models\Branch {#1122}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1091
              #items: array:3 [
                0 => App\Models\Element {#1142
                  #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 {#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: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 {#1146
                  #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" => "1144812"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144810"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1139
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144811
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-592"
            "field_display_title" => "592"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1072}
            "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 {#1093}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1092}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1096}
            "content" => Illuminate\Database\Eloquent\Collection {#1091}
            "next" => array:2 [
              "refs" => "1144812"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144810"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1139}
            "page" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
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          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Task {#1094
          #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" => 1144812
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-593"
            "field_display_title" => "593"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1097
              #items: array:1 [
                0 => App\Models\Term {#1067}
              ]
              #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 {#1140
              #items: array:1 [
                0 => App\Models\Branch {#1118}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1136
              #items: array:2 [
                0 => App\Models\Branch {#1118}
                1 => App\Models\Branch {#1122}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1135
              #items: array:3 [
                0 => App\Models\Element {#1156
                  #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 {#1158
                  #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 {#1160
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                   …5
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144813"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144811"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1153
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144812
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-593"
            "field_display_title" => "593"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1097}
            "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 {#1140}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1136}
            "content" => Illuminate\Database\Eloquent\Collection {#1135}
            "next" => array:2 [
              "refs" => "1144813"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144811"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1153}
            "page" => array:2 [
              "refs" => "1116800"
              "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 {#1137
          #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" => 1144813
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-594"
            "field_display_title" => "594"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1134
              #items: array:1 [
                0 => App\Models\Term {#1067}
              ]
              #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 {#1152
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1154
              #items: array:1 [
                0 => App\Models\Branch {#1118}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1150
              #items: array:2 [
                0 => App\Models\Branch {#1118}
                1 => App\Models\Branch {#1122}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1149
              #items: array:3 [
                0 => App\Models\Element {#1170 …30}
                1 => App\Models\Element {#1172 …30}
                2 => App\Models\Element {#1174 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144814"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144812"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1167
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144813
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-594"
            "field_display_title" => "594"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1134}
            "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 {#1152}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1154}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1150}
            "content" => Illuminate\Database\Eloquent\Collection {#1149}
            "next" => array:2 [
              "refs" => "1144814"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144812"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1167}
            "page" => array:2 [
              "refs" => "1116800"
              "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 {#1151
          #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" => 1144814
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-595"
            "field_display_title" => "595"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1148
              #items: array:1 [
                0 => App\Models\Term {#1067}
              ]
              #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 {#1166
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1168
              #items: array:1 [
                0 => App\Models\Branch {#1118}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1164
              #items: array:2 [
                0 => App\Models\Branch {#1118}
                1 => App\Models\Branch {#1122}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1163
              #items: array:3 [
                0 => App\Models\Element {#1184 …30}
                1 => App\Models\Element {#1186 …30}
                2 => App\Models\Element {#1188 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144815"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144813"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1181
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144814
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-595"
            "field_display_title" => "595"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1148}
            "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 {#1166}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1168}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1164}
            "content" => Illuminate\Database\Eloquent\Collection {#1163}
            "next" => array:2 [
              "refs" => "1144815"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144813"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1181}
            "page" => array:2 [
              "refs" => "1116800"
              "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 {#1165
          #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" => 1144815
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-596"
            "field_display_title" => "596"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1162
              #items: array:1 [
                0 => App\Models\Term {#1067}
              ]
              #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 {#1180
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1182
              #items: array:1 [
                0 => App\Models\Branch {#1118}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1178
              #items: array:2 [
                0 => App\Models\Branch {#1118}
                1 => App\Models\Branch {#1122}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1177
              #items: array:3 [
                0 => App\Models\Element {#1198 …30}
                1 => App\Models\Element {#1200 …30}
                2 => App\Models\Element {#1202 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144816"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144814"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1195
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116800"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144815
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "170"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-596"
            "field_display_title" => "596"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1162}
            "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 {#1180}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1182}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1178}
            "content" => Illuminate\Database\Eloquent\Collection {#1177}
            "next" => array:2 [
              "refs" => "1144816"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144814"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1195}
            "page" => array:2 [
              "refs" => "1116800"
              "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" => 1116800
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "170"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-170"
    "field_display_title" => "170"
    "field_folder" => "1"
    "field_image_name" => "170"
    "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" => "1116801"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1116799"
      "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 170
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