Страница 86, часть 2 - гдз по геометрии 11 класс учебник Солтан, Солтан

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

Тип: Учебник

Издательство: Кокшетау

Год издания: 2020 - 2026

Часть: 2

ISBN: 978-601-317-518-8. 978-601-317-520-1

Рекомендовано Министерством образования и науки Республики Казахстан

Часть 2. Cтраница 86

App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
  #table: "book_pages"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:21 [
    "id" => 1117021
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "86"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/page-2-86"
    "field_display_title" => "86"
    "field_folder" => "2"
    "field_image_name" => "86"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1015
      #items: array:1 [
        0 => App\Models\Branch {#1014
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1143494
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "2"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1019
              #items: array:1 [
                0 => App\Models\Term {#1016
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "8"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1027
              #items: array:1 [
                0 => App\Models\Book {#1026
                  #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" => 4314
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1031
                      #items: array:1 [
                        0 => App\Models\Term {#1028
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [ …10]
                          #original: array:10 [ …10]
                          #changes: []
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                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1033
                      #items: array:1 [
                        0 => App\Models\Term {#1030
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
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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 {#1041
                      #items: array:1 [
                        0 => App\Models\Term {#1040
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
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                          +timestamps: true
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1032
                      #items: array:3 [
                        0 => App\Models\Term {#1046
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
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                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Term {#1047
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [ …12]
                          #original: array:12 [ …12]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        2 => App\Models\Term {#1048
                          #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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                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
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                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1043
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1044
                      #items: array:1 [
                        0 => App\Models\Term {#1034
                          #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: []
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                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1037
                      #items: array:1 [
                        0 => App\Models\Term {#1042
                          #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: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1035
                      #items: array:1 [
                        0 => App\Models\Term {#1038
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1036
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1029
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1049
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1050
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1051
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1052
                      #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 общественно-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" => "644"
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                    "field_default_folder" => "/geometrija_11/kokshetau-2-u20/"
                    "field_isbn" => "978-601-317-518-8. 978-601-317-520-1"
                    "field_cover" => array:1 [
                      0 => "/media/geometrija_11/kokshetau-2-u20/covers/cover1.webp?ts=1753339070"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/geometrija_11/kokshetau-2-u20/covers/cover1.webp?ts=1753339070"
                        "alt" => ""
                        "width" => "1632"
                        "height" => "2472"
                      ]
                    ]
                    "field_popular_book" => null
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1053
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1054
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1055
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
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                    ]
                  ]
                  #original: array:50 [
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                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1031}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1033}
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1032}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1043}
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                    "field_country" => Illuminate\Database\Eloquent\Collection {#1037}
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                    "field_series" => Illuminate\Database\Eloquent\Collection {#1036}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1029}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1049}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1050}
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1051}
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                    "field_for_whom" => "для учащихся 10 (ч. 1), 11 (ч. 2) классов общественно-математического направления общеобразовательной школы"
                    "field_allowed" => "Рекомендовано Министерством образования и науки Республики Казахстан"
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                      0 => "/media/geometrija_11/kokshetau-2-u20/covers/cover1.webp?ts=1753339070"
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                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020"
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            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1019}
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            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1027}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1017}
          ]
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    "field_weight" => "0"
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      #items: array:1 [
        0 => App\Models\Book {#1026}
      ]
      #escapeWhenCastingToString: false
    }
    "field_metatags_title" => null
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    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007
      #items: []
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1024
      #items: array:1 [
        0 => App\Models\Element {#1021
          #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 [
            "id" => 1295286
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1064
              #items: array:1 [
                0 => App\Models\Edition {#1022
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [ …21]
                  #original: array:21 [ …21]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "book_page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
                "name" => "86-1.jpg"
                "alt" => null
                "width" => "2008"
                "height" => 2972
                "path" => "/media/geometrija_11/kokshetau-2-u20/0-2/86-1.webp?ts=1753339907"
              ]
            ]
          ]
          #original: array:6 [
            "id" => 1295286
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1064}
            "book_page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
                "name" => "86-1.jpg"
                "alt" => null
                "width" => "2008"
                "height" => 2972
                "path" => "/media/geometrija_11/kokshetau-2-u20/0-2/86-1.webp?ts=1753339907"
              ]
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "next" => Illuminate\Database\Eloquent\Collection {#3713
      #items: array:1 [
        0 => App\Models\BookPage {#3712
          #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" => 1117022
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "87"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/page-2-87"
            "field_display_title" => "87"
            "field_folder" => "2"
            "field_image_name" => "87"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3727
              #items: array:1 [
                0 => App\Models\Branch {#1123
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3726
              #items: array:1 [
                0 => App\Models\Book {#1026}
              ]
              #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 {#3724
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3800
              #items: array:1 [
                0 => App\Models\Element {#3804
                  #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" => "1117023"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3723
              #items: array:3 [
                0 => App\Models\Task {#3811
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #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 {#3818
                  #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 {#3830
                  #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" => 1117022
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "87"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/page-2-87"
            "field_display_title" => "87"
            "field_folder" => "2"
            "field_image_name" => "87"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3727}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3726}
            "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 {#3724}
            "content" => Illuminate\Database\Eloquent\Collection {#3800}
            "next" => array:2 [
              "refs" => "1117023"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3723}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#3708
      #items: array:1 [
        0 => App\Models\BookPage {#3707
          #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" => 1117020
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/page-2-85"
            "field_display_title" => "85"
            "field_folder" => "2"
            "field_image_name" => "85"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3709
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3710
              #items: array:1 [
                0 => App\Models\Book {#1026}
              ]
              #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 {#3711
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#3721
              #items: array:1 [
                0 => App\Models\Element {#3720
                  #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" => "1117021"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1117019"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3714
              #items: array:6 [
                0 => App\Models\Task {#3730
                  #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 {#3737
                  #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 {#3749
                  #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 {#3761
                  #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 {#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]
                }
                5 => App\Models\Task {#3785
                  #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" => 1117020
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/page-2-85"
            "field_display_title" => "85"
            "field_folder" => "2"
            "field_image_name" => "85"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3709}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3710}
            "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 {#3711}
            "content" => Illuminate\Database\Eloquent\Collection {#3721}
            "next" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1117019"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3714}
          ]
          #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:10 [
        0 => App\Models\Task {#1074
          #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" => 1144063
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-215"
            "field_display_title" => "215"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1078
              #items: array:1 [
                0 => App\Models\Term {#1075
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1077
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1076
              #items: array:1 [
                0 => App\Models\Branch {#1014}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1113
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Branch {#1131
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                   …8
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1079
              #items: array:2 [
                0 => App\Models\Element {#1105 …30}
                1 => App\Models\Element {#1103 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144064"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144062"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1108
              #items: array:1 [
                0 => App\Models\Book {#1026}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144063
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-215"
            "field_display_title" => "215"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1078}
            "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 {#1077}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1076}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1113}
            "content" => Illuminate\Database\Eloquent\Collection {#1079}
            "next" => array:2 [
              "refs" => "1144064"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144062"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1108}
            "page" => array:2 [
              "refs" => "1117021"
              "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 {#1111
          #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" => 1144064
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-216"
            "field_display_title" => "216"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1120
              #items: array:1 [
                0 => App\Models\Term {#1075}
              ]
              #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 {#1106
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1110
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1082
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1083
              #items: array:2 [
                0 => App\Models\Element {#1086 …30}
                1 => App\Models\Element {#1084 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144065"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144063"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1091
              #items: array:1 [
                0 => App\Models\Book {#1026}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144064
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-216"
            "field_display_title" => "216"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1120}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1106}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1110}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1082}
            "content" => Illuminate\Database\Eloquent\Collection {#1083}
            "next" => array:2 [
              "refs" => "1144065"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144063"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1091}
            "page" => array:2 [
              "refs" => "1117021"
              "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 {#1095
          #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" => 1144065
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-217"
            "field_display_title" => "217"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1109
              #items: array:1 [
                0 => App\Models\Term {#1075}
              ]
              #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 {#1089
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1093
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1096
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1090
              #items: array:2 [
                0 => App\Models\Element {#1118 …30}
                1 => App\Models\Element {#1135 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144066"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144064"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1121
              #items: array:1 [
                0 => App\Models\Book {#1026}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144065
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-217"
            "field_display_title" => "217"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1109}
            "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 {#1089}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1093}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1096}
            "content" => Illuminate\Database\Eloquent\Collection {#1090}
            "next" => array:2 [
              "refs" => "1144066"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144064"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1121}
            "page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Task {#1081
          #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" => 1144066
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-218"
            "field_display_title" => "218"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1092
              #items: array:1 [
                0 => App\Models\Term {#1075}
              ]
              #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 {#1115
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1112
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1080
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1114
              #items: array:2 [
                0 => App\Models\Element {#1150 …30}
                1 => App\Models\Element {#1152 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144067"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144065"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1147
              #items: array:1 [
                0 => App\Models\Book {#1026}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144066
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-218"
            "field_display_title" => "218"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1092}
            "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 {#1115}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1112}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1080}
            "content" => Illuminate\Database\Eloquent\Collection {#1114}
            "next" => array:2 [
              "refs" => "1144067"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144065"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1147}
            "page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        4 => App\Models\Task {#1138
          #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" => 1144067
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-219"
            "field_display_title" => "219"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1119
              #items: array:1 [
                0 => App\Models\Term {#1075}
              ]
              #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 {#1149
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1137
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1136
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1139
              #items: array:2 [
                0 => App\Models\Element {#1162 …30}
                1 => App\Models\Element {#1164 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144068"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144066"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1159
              #items: array:1 [
                0 => App\Models\Book {#1026}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1117021"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144067
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-219"
            "field_display_title" => "219"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1119}
            "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 {#1149}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1137}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1136}
            "content" => Illuminate\Database\Eloquent\Collection {#1139}
            "next" => array:2 [
              "refs" => "1144068"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144066"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1159}
            "page" => array:2 [
              "refs" => "1117021"
              "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 {#1154
          #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" => 1144068
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "86"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-220"
            "field_display_title" => "220"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1146
              #items: array:1 [
                0 => App\Models\Term {#1075}
              ]
              #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 {#1161
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1157
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1155
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:2 [
                0 => App\Models\Element {#1174 …30}
                1 => App\Models\Element {#1176 …30}
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            ]
            "previous" => array:2 [
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            "book" => Illuminate\Database\Eloquent\Collection {#1171
              #items: array:1 [
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              ]
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            0 => "*"
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        }
        6 => App\Models\Task {#1166
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
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          #with: []
          #withCount: []
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          #perPage: 15
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            "created_at" => "2026-04-10 13:58:26"
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            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-221"
            "field_display_title" => "221"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1158
              #items: array:1 [
                0 => App\Models\Term {#1075}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1173
              #items: []
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            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1167
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1168
              #items: array:2 [
                0 => App\Models\Element {#1186 …30}
                1 => App\Models\Element {#1188 …30}
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            "book" => Illuminate\Database\Eloquent\Collection {#1183
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              ]
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            }
            "page" => array:2 [
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            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1167}
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            "book" => Illuminate\Database\Eloquent\Collection {#1183}
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              "refs" => "1117021"
              "type" => "book_page"
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            0 => "*"
          ]
        }
        7 => App\Models\Task {#1178
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
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          #withCount: []
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          #perPage: 15
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1144070
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-222"
            "field_display_title" => "222"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:1 [
                0 => App\Models\Term {#1075}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1185
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1181
              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1179
              #items: array:3 [
                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1180
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                0 => App\Models\Element {#1198 …30}
                1 => App\Models\Element {#1200 …30}
              ]
              #escapeWhenCastingToString: false
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        8 => App\Models\Task {#1190
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            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1193
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                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1191
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                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1192
              #items: array:2 [
                0 => App\Models\Element {#1210 …30}
                1 => App\Models\Element {#1212 …30}
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            "book" => Illuminate\Database\Eloquent\Collection {#1207
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              ]
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            }
            "page" => array:2 [
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            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik-2020/2upr-223"
            "field_display_title" => "223"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1182}
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        9 => App\Models\Task {#1202
          #connection: "mysql"
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              #items: []
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            }
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              #items: array:1 [
                0 => App\Models\Branch {#1123}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1203
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                0 => App\Models\Branch {#1123}
                1 => App\Models\Branch {#1127}
                2 => App\Models\Branch {#1131 …8}
              ]
              #escapeWhenCastingToString: false
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            "content" => Illuminate\Database\Eloquent\Collection {#1204
              #items: array:2 [
                0 => App\Models\Element {#1222 …30}
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            "book" => Illuminate\Database\Eloquent\Collection {#1219
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                0 => App\Models\Book {#1026}
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            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1209}
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            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1203}
            "content" => Illuminate\Database\Eloquent\Collection {#1204}
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              "refs" => "1144071"
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            "book" => Illuminate\Database\Eloquent\Collection {#1219}
            "page" => array:2 [
              "refs" => "1117021"
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  ]
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    "updated_at" => null
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    "field_display_title" => "86"
    "field_folder" => "2"
    "field_image_name" => "86"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1015}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1006}
    "field_metatags_title" => null
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    "field_h1" => null
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    "field_description_bottom" => null
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007}
    "content" => Illuminate\Database\Eloquent\Collection {#1024}
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      "refs" => "1117022"
      "type" => "book_page"
    ]
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      "refs" => "1117020"
      "type" => "book_page"
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    "tasks" => Illuminate\Database\Eloquent\Collection {#1009}
  ]
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  #hidden: []
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    0 => "*"
  ]
}
Геометрия, 11 класс Учебник, авторы: Солтан Г Н, Солтан Алла Евгеньевна, Жумадилова Аманбала Жумадиловна, издательство Кокшетау, Алматы, 2020, Часть 2, страница 86
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