Страница 68 - гдз по геометрии 7 класс учебник Шыныбеков, Шыныбеков

Геометрия, 7 класс Учебник, авторы: Шыныбеков Абдухали Насырович, Шыныбеков Данияр Абдухалиевич, издательство Атамұра, Алматы, 2017 Геометрия, 7 класс Учебник, авторы: Шыныбеков Абдухали Насырович, Шыныбеков Данияр Абдухалиевич, издательство Атамұра, Алматы, 2017

Авторы: Шыныбеков А. Н., Шыныбеков Д. А.

Тип: Учебник

Издательство: Атамұра

Год издания: 2017 - 2026

ISBN: 978-601-306-749-0

Рекомендовано Министерством образования и науки Республики Казахстан

Cтраница 68

App\Models\BookPage {#994 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
  #table: "book_pages"
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  #keyType: "int"
  +incrementing: true
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  #attributes: array:21 [
    "id" => 1114174
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    "updated_at" => null
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    "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/page-68"
    "field_display_title" => "68"
    "field_folder" => "folder1"
    "field_image_name" => "68"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#304
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1001
      #items: array:1 [
        0 => App\Models\Book {#998
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
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          +incrementing: false
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          #attributes: array:50 [
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#302
              #items: array:1 [
                0 => App\Models\Term {#313
                  #connection: "mysql"
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            "field_class" => Illuminate\Database\Eloquent\Collection {#997
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                0 => App\Models\Term {#1005
                  #connection: "mysql"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1003
              #items: array:1 [
                0 => App\Models\Term {#1004
                  #connection: "mysql"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1006
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                0 => App\Models\Term {#1007
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                }
                1 => App\Models\Term {#1008
                  #connection: "mysql"
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                }
              ]
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            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1009
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1010
              #items: array:1 [
                0 => App\Models\Term {#1011
                  #connection: "mysql"
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                  #primaryKey: "id"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1012
              #items: array:1 [
                0 => App\Models\Term {#1013
                  #connection: "mysql"
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                  #primaryKey: "id"
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                  +incrementing: false
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                  #attributes: array:6 [ …6]
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1014
              #items: array:1 [
                0 => App\Models\Term {#1015
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  +timestamps: true
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1016
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1017
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1018
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1019
              #items: []
              #escapeWhenCastingToString: false
            }
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            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1020
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            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1021
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              #escapeWhenCastingToString: false
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            "field_reserve_field" => null
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            "field_isbn" => "978-601-306-749-0"
            "field_cover" => array:2 [
              0 => "/media/geometrija_07/Shynybekov-u17/covers/cover1.webp?ts=1753256461"
              1 => "/media/geometrija_07/Shynybekov-u17/covers/cover2.webp?ts=1753256461"
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              ]
              1 => array:4 [
                "path" => "/media/geometrija_07/Shynybekov-u17/covers/cover2.webp?ts=1753256461"
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              ]
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            }
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1025
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            }
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            "field_umk" => Illuminate\Database\Eloquent\Collection {#1017}
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                  #connection: "mysql"
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            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1047
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            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1053
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                1 => App\Models\Element {#1065 …30}
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        }
        1 => App\Models\Task {#1084
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            }
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                1 => App\Models\Branch {#1054 …30}
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            "content" => Illuminate\Database\Eloquent\Collection {#1089
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                1 => App\Models\Element {#1092 …30}
                2 => App\Models\Element {#1094 …30}
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            "book" => Illuminate\Database\Eloquent\Collection {#1098
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        2 => App\Models\Task {#1099
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          #keyType: "int"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1100
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            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1103
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                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
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            "content" => Illuminate\Database\Eloquent\Collection {#1104
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                0 => App\Models\Element {#1105 …30}
                1 => App\Models\Element {#1107 …30}
                2 => App\Models\Element {#1109 …30}
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            "book" => Illuminate\Database\Eloquent\Collection {#1113
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            "page" => array:2 [
              "refs" => "1114174"
              "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 {#1114
          #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" => 1122310
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-51"
            "field_display_title" => "4.51"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1115
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #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 {#1116
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1117
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1118
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1119
              #items: array:4 [
                0 => App\Models\Element {#1120 …30}
                1 => App\Models\Element {#1122 …30}
                2 => App\Models\Element {#1124 …30}
                3 => App\Models\Element {#1126 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1122311"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122309"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1128
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1122310
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-51"
            "field_display_title" => "4.51"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1115}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1116}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1117}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1118}
            "content" => Illuminate\Database\Eloquent\Collection {#1119}
            "next" => array:2 [
              "refs" => "1122311"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122309"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1128}
            "page" => array:2 [
              "refs" => "1114174"
              "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" => 1122311
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-52"
            "field_display_title" => "4.52"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1130
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #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 {#1131
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1132
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1133
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1134
              #items: array:4 [
                0 => App\Models\Element {#1135 …30}
                1 => App\Models\Element {#1137 …30}
                2 => App\Models\Element {#1139 …30}
                3 => App\Models\Element {#1141 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1122312"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122310"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1143
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1122311
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-52"
            "field_display_title" => "4.52"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1130}
            "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 {#1131}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1132}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1133}
            "content" => Illuminate\Database\Eloquent\Collection {#1134}
            "next" => array:2 [
              "refs" => "1122312"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122310"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1143}
            "page" => array:2 [
              "refs" => "1114174"
              "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 {#1144
          #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" => 1122312
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-53"
            "field_display_title" => "4.53"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1145
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #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 {#1146
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1147
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1148
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1149
              #items: array:4 [
                0 => App\Models\Element {#1150 …30}
                1 => App\Models\Element {#1152 …30}
                2 => App\Models\Element {#1154 …30}
                3 => App\Models\Element {#1156 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1122313"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122311"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1158
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1122312
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-53"
            "field_display_title" => "4.53"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1145}
            "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 {#1146}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1147}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1148}
            "content" => Illuminate\Database\Eloquent\Collection {#1149}
            "next" => array:2 [
              "refs" => "1122313"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122311"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1158}
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        6 => App\Models\Task {#1159
          #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" => 1122313
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-54"
            "field_display_title" => "4.54"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1160
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #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 {#1162
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1163
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1164
              #items: array:4 [
                0 => App\Models\Element {#1165 …30}
                1 => App\Models\Element {#1167 …30}
                2 => App\Models\Element {#1169 …30}
                3 => App\Models\Element {#1171 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1122314"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122312"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1173
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1122313
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-54"
            "field_display_title" => "4.54"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1160}
            "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}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1162}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1163}
            "content" => Illuminate\Database\Eloquent\Collection {#1164}
            "next" => array:2 [
              "refs" => "1122314"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122312"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1173}
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        7 => App\Models\Task {#1174
          #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" => 1122314
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-55"
            "field_display_title" => "4.55"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1175
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1176
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1177
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1178
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1179
              #items: array:4 [
                0 => App\Models\Element {#1180 …30}
                1 => App\Models\Element {#1182 …30}
                2 => App\Models\Element {#1184 …30}
                3 => App\Models\Element {#1186 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1122315"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122313"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1188
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1122314
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-55"
            "field_display_title" => "4.55"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1175}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1176}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1177}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1178}
            "content" => Illuminate\Database\Eloquent\Collection {#1179}
            "next" => array:2 [
              "refs" => "1122315"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122313"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1188}
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        8 => App\Models\Task {#1189
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1122315
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-56"
            "field_display_title" => "4.56"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1190
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1191
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1192
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1193
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1194
              #items: array:4 [
                0 => App\Models\Element {#1195 …30}
                1 => App\Models\Element {#1197 …30}
                2 => App\Models\Element {#1199 …30}
                3 => App\Models\Element {#1201 …30}
              ]
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            }
            "next" => array:2 [
              "refs" => "1122316"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122314"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1203
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
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            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-56"
            "field_display_title" => "4.56"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1190}
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1191}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1192}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1193}
            "content" => Illuminate\Database\Eloquent\Collection {#1194}
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            "previous" => array:2 [
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            "book" => Illuminate\Database\Eloquent\Collection {#1203}
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        9 => App\Models\Task {#1204
          #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" => 1122316
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
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            "field_display_title" => "4.57"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1205
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1206
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1207
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1208
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1209
              #items: array:4 [
                0 => App\Models\Element {#1210 …30}
                1 => App\Models\Element {#1212 …30}
                2 => App\Models\Element {#1214 …30}
                3 => App\Models\Element {#1216 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1122317"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122315"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1218
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
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            "id" => 1122316
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-57"
            "field_display_title" => "4.57"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1205}
            "field_metatags_title" => null
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            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1206}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1207}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1208}
            "content" => Illuminate\Database\Eloquent\Collection {#1209}
            "next" => array:2 [
              "refs" => "1122317"
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            "previous" => array:2 [
              "refs" => "1122315"
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            "book" => Illuminate\Database\Eloquent\Collection {#1218}
            "page" => array:2 [
              "refs" => "1114174"
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            0 => "*"
          ]
        }
        10 => App\Models\Task {#1219
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #attributes: array:24 [
            "id" => 1122317
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-58"
            "field_display_title" => "4.58"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1220
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1221
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1222
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1223
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1224
              #items: array:4 [
                0 => App\Models\Element {#1225 …30}
                1 => App\Models\Element {#1227 …30}
                2 => App\Models\Element {#1229 …30}
                3 => App\Models\Element {#1231 …30}
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            }
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            "previous" => array:2 [
              "refs" => "1122316"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1233
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-58"
            "field_display_title" => "4.58"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1220}
            "field_metatags_title" => null
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            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1223}
            "content" => Illuminate\Database\Eloquent\Collection {#1224}
            "next" => array:2 [
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            "previous" => array:2 [
              "refs" => "1122316"
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            "book" => Illuminate\Database\Eloquent\Collection {#1233}
            "page" => array:2 [
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            0 => "*"
          ]
        }
        11 => App\Models\Task {#1234
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #attributes: array:24 [
            "id" => 1122318
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_display_title" => "4.59"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1235
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1236
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1237
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1238
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1239
              #items: array:4 [
                0 => App\Models\Element {#1240 …30}
                1 => App\Models\Element {#1242 …30}
                2 => App\Models\Element {#1244 …30}
                3 => App\Models\Element {#1246 …30}
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            "previous" => array:2 [
              "refs" => "1122317"
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            "book" => Illuminate\Database\Eloquent\Collection {#1248
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
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            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-59"
            "field_display_title" => "4.59"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1235}
            "field_metatags_title" => null
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            "field_h1" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1236}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1237}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1238}
            "content" => Illuminate\Database\Eloquent\Collection {#1239}
            "next" => array:2 [
              "refs" => "1122319"
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            "previous" => array:2 [
              "refs" => "1122317"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1248}
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
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            0 => "*"
          ]
        }
        12 => App\Models\Task {#1249
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #perPage: 15
          +exists: true
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1122319
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-60"
            "field_display_title" => "4.60"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1250
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1251
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1252
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1253
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1254
              #items: array:4 [
                0 => App\Models\Element {#1255 …30}
                1 => App\Models\Element {#1257 …30}
                2 => App\Models\Element {#1259 …30}
                3 => App\Models\Element {#1261 …30}
              ]
              #escapeWhenCastingToString: false
            }
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              "refs" => "1122320"
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            "previous" => array:2 [
              "refs" => "1122318"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1263
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
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            "updated_at" => null
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-60"
            "field_display_title" => "4.60"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1250}
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1251}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1252}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1253}
            "content" => Illuminate\Database\Eloquent\Collection {#1254}
            "next" => array:2 [
              "refs" => "1122320"
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            ]
            "previous" => array:2 [
              "refs" => "1122318"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1263}
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
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          #hidden: []
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            0 => "*"
          ]
        }
        13 => App\Models\Task {#1264
          #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" => 1122320
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-61"
            "field_display_title" => "4.61"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1265
              #items: array:1 [
                0 => App\Models\Term {#1045 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1266
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1267
              #items: array:1 [
                0 => App\Models\Branch {#1048 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1268
              #items: array:2 [
                0 => App\Models\Branch {#1048 …30}
                1 => App\Models\Branch {#1054 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1269
              #items: array:4 [
                0 => App\Models\Element {#1270 …30}
                1 => App\Models\Element {#1272 …30}
                2 => App\Models\Element {#1274 …30}
                3 => App\Models\Element {#1276 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1122321"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122319"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1278
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1122320
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "68"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/4-61"
            "field_display_title" => "4.61"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1265}
            "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 {#1266}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1267}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1268}
            "content" => Illuminate\Database\Eloquent\Collection {#1269}
            "next" => array:2 [
              "refs" => "1122321"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1122319"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1278}
            "page" => array:2 [
              "refs" => "1114174"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 1114174
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "68"
    "field_url" => "/7-klass/geometrija/shynybekov-uchebnik/page-68"
    "field_display_title" => "68"
    "field_folder" => "folder1"
    "field_image_name" => "68"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#304}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1001}
    "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 {#1026}
    "content" => Illuminate\Database\Eloquent\Collection {#1027}
    "next" => array:2 [
      "refs" => "1114175"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114173"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1042}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 7 класс Учебник, авторы: Шыныбеков Абдухали Насырович, Шыныбеков Данияр Абдухалиевич, издательство Атамұра, Алматы, 2017, страница 68
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