Страница 36 - 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 36

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" => 1116666
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "36"
    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-36"
    "field_display_title" => "36"
    "field_folder" => "1"
    "field_image_name" => "36"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1037
      #items: array:1 [
        0 => App\Models\Book {#1006
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
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          #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 {#1009
              #items: array:1 [
                0 => App\Models\Term {#1007
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
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                  +preventsLazyLoading: false
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                  #escapeWhenCastingToString: false
                  #attributes: array:10 [ …10]
                  #original: array:10 [ …10]
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                  #hidden: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1010
              #items: array:1 [
                0 => App\Models\Term {#1011
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:6 [ …6]
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012
              #items: array:1 [
                0 => App\Models\Term {#1013
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1014
              #items: array:3 [
                0 => App\Models\Term {#1015
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  +preventsLazyLoading: false
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                  +exists: true
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                  #original: array:12 [ …12]
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                }
                1 => App\Models\Term {#1016
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                }
                2 => App\Models\Term {#1017
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #with: []
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                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:12 [ …12]
                  #original: array:12 [ …12]
                  #changes: []
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1018
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1019
              #items: array:1 [
                0 => App\Models\Term {#1020
                  #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:10 [ …10]
                  #original: array:10 [ …10]
                  #changes: []
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                  #dateFormat: null
                  #appends: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1021
              #items: array:1 [
                0 => App\Models\Term {#1022
                  #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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                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1023
              #items: array:1 [
                0 => App\Models\Term {#1024
                  #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]
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1025
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1026
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1027
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1028
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1029
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1030
              #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"
            ]
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              0 => ""
            ]
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              0 => array:4 [
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                "alt" => ""
                "width" => "1632"
                "height" => "2472"
              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1031
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1032
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1033
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1034
              #items: []
              #escapeWhenCastingToString: false
            }
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            ]
          ]
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#1009}
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            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012}
            "field_author" => Illuminate\Database\Eloquent\Collection {#1014}
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1018}
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1019}
            "field_country" => Illuminate\Database\Eloquent\Collection {#1021}
            "field_city" => Illuminate\Database\Eloquent\Collection {#1023}
            "field_series" => Illuminate\Database\Eloquent\Collection {#1025}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1026}
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1027}
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1028}
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            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1029}
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              ]
            ]
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    "next" => Illuminate\Database\Eloquent\Collection {#3696
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            "field_display_title" => "37"
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            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3701
              #items: []
              #escapeWhenCastingToString: false
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                  #table: "elements"
                  #primaryKey: "id"
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                  #with: []
                  #withCount: []
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                  #perPage: 15
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
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                  #hidden: []
                  #visible: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1116668"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1116666"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#3799
              #items: array:6 [
                0 => App\Models\Task {#3811
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #hidden: []
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                  #fillable: []
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                }
                1 => App\Models\Task {#3818
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#3824
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#3829
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
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                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#3843
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:24 [ …24]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#3857
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:24 [ …24]
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                  +timestamps: true
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                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
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            "field_display_title" => "37"
            "field_folder" => "1"
            "field_image_name" => "37"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#3701}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#3700}
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#3699}
            "content" => Illuminate\Database\Eloquent\Collection {#3730}
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            "previous" => array:2 [
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            "tasks" => Illuminate\Database\Eloquent\Collection {#3799}
          ]
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    "previous" => Illuminate\Database\Eloquent\Collection {#3691
      #items: array:1 [
        0 => App\Models\BookPage {#3690
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          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #attributes: array:21 [
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            "field_display_title" => "35"
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            }
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                0 => App\Models\Book {#1006}
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                0 => App\Models\Element {#3703
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                0 => App\Models\Task {#3707
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    "tasks" => Illuminate\Database\Eloquent\Collection {#1039
      #items: array:8 [
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                  #connection: "mysql"
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            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1076
              #items: array:1 [
                0 => App\Models\Branch {#1075
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1107
              #items: array:2 [
                0 => App\Models\Branch {#1115
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:23 [ …23]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1119
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1104
              #items: array:3 [
                0 => App\Models\Element {#1097
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1095
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #original: array:6 [ …6]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1089
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #attributes: array:6 [ …6]
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144262"
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            ]
            "previous" => array:2 [
              "refs" => "1144260"
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            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1100
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                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
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              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144261
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            "updated_at" => null
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            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-63"
            "field_display_title" => "63"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1067}
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1066}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1076}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1107}
            "content" => Illuminate\Database\Eloquent\Collection {#1104}
            "next" => array:2 [
              "refs" => "1144262"
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            ]
            "previous" => array:2 [
              "refs" => "1144260"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1100}
            "page" => array:2 [
              "refs" => "1116666"
              "type" => "book_page"
            ]
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1068
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1144262
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "36"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-64"
            "field_display_title" => "64"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1112
              #items: array:1 [
                0 => App\Models\Term {#1064}
              ]
              #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 {#1101
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1099
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1103
              #items: array:2 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1072
              #items: array:3 [
                0 => App\Models\Element {#1108
                  #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 {#1109
                  #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 {#1124
                  #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" => "1144263"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144261"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1105
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116666"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144262
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "36"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-64"
            "field_display_title" => "64"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1112}
            "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 {#1101}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1099}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1103}
            "content" => Illuminate\Database\Eloquent\Collection {#1072}
            "next" => array:2 [
              "refs" => "1144263"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144261"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1105}
            "page" => array:2 [
              "refs" => "1116666"
              "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 {#1102
          #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" => 1144263
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "36"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-65"
            "field_display_title" => "65"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1069
              #items: array:1 [
                0 => App\Models\Term {#1064}
              ]
              #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 {#1114
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1073
              #items: array:2 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1080
              #items: array:3 [
                0 => App\Models\Element {#1134
                  #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 {#1136
                  #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 {#1138
                  #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" => "1144264"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144262"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1131
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116666"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144263
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "36"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-65"
            "field_display_title" => "65"
            "field_outside_task" => null
            "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 {#1106}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1114}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1073}
            "content" => Illuminate\Database\Eloquent\Collection {#1080}
            "next" => array:2 [
              "refs" => "1144264"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144262"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1131}
            "page" => array:2 [
              "refs" => "1116666"
              "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 {#1065
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1144264
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "36"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-66"
            "field_display_title" => "66"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1071
              #items: array:1 [
                0 => App\Models\Term {#1064}
              ]
              #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 {#1130
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1132
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1128
              #items: array:2 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1127
              #items: array:3 [
                0 => App\Models\Element {#1148
                  #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 {#1150
                  #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 {#1152
                  #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" => "1144265"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144263"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1145
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116666"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1144264
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "36"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-66"
            "field_display_title" => "66"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1071}
            "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 {#1130}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1132}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1128}
            "content" => Illuminate\Database\Eloquent\Collection {#1127}
            "next" => array:2 [
              "refs" => "1144265"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144263"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1145}
            "page" => array:2 [
              "refs" => "1116666"
              "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 {#1129
          #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" => 1144265
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "36"
            "field_page_end" => null
            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-67"
            "field_display_title" => "67"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1126
              #items: array:1 [
                0 => App\Models\Term {#1064}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1144
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1146
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1142
              #items: array:2 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1141
              #items: array:3 [
                0 => App\Models\Element {#1162
                  #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 {#1164
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                   …22
                }
                2 => App\Models\Element {#1166 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1144266"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144264"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1159
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1116666"
              "type" => "book_page"
            ]
          ]
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            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1146}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1142}
            "content" => Illuminate\Database\Eloquent\Collection {#1141}
            "next" => array:2 [
              "refs" => "1144266"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144264"
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            "book" => Illuminate\Database\Eloquent\Collection {#1159}
            "page" => array:2 [
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              "type" => "book_page"
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          #visible: []
          #fillable: []
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            0 => "*"
          ]
        }
        5 => App\Models\Task {#1143
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #perPage: 15
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          #attributes: array:24 [
            "id" => 1144266
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            "updated_at" => null
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            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-68"
            "field_display_title" => "68"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1140
              #items: array:1 [
                0 => App\Models\Term {#1064}
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              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1160
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:2 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1155
              #items: array:3 [
                0 => App\Models\Element {#1176 …30}
                1 => App\Models\Element {#1178 …30}
                2 => App\Models\Element {#1180 …30}
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              #escapeWhenCastingToString: false
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            "field_display_title" => "68"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1140}
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            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1156}
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          ]
        }
        6 => App\Models\Task {#1157
          #connection: "mysql"
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            "field_display_title" => "69"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1154
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                0 => App\Models\Term {#1064}
              ]
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            }
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1172
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1174
              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:2 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:3 [
                0 => App\Models\Element {#1190 …30}
                1 => App\Models\Element {#1192 …30}
                2 => App\Models\Element {#1194 …30}
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            }
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            "book" => Illuminate\Database\Eloquent\Collection {#1187
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
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            "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-69"
            "field_display_title" => "69"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1154}
            "field_metatags_title" => null
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              "type" => "book_page"
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          ]
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        }
        7 => App\Models\Task {#1171
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
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            "field_display_title" => "70"
            "field_outside_task" => "0"
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1168
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                0 => App\Models\Term {#1064}
              ]
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            }
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              #items: array:1 [
                0 => App\Models\Branch {#1115}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184
              #items: array:2 [
                0 => App\Models\Branch {#1115}
                1 => App\Models\Branch {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1183
              #items: array:3 [
                0 => App\Models\Element {#1204 …30}
                1 => App\Models\Element {#1206 …30}
                2 => App\Models\Element {#1208 …30}
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            "book" => Illuminate\Database\Eloquent\Collection {#1201
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              ]
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            }
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            "field_page_end" => "37"
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            "field_display_title" => "70"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1168}
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1186}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1188}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184}
            "content" => Illuminate\Database\Eloquent\Collection {#1183}
            "next" => array:2 [
              "refs" => "1144269"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1144267"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1201}
            "page" => array:2 [
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      ]
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    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/page-36"
    "field_display_title" => "36"
    "field_folder" => "1"
    "field_image_name" => "36"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1037}
    "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 {#1035}
    "content" => Illuminate\Database\Eloquent\Collection {#1046}
    "next" => array:2 [
      "refs" => "1116667"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1116665"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1039}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
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  +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 36
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