Страница 111 - гдз по геометрии 7 класс учебник Смирнов, Туяков

Геометрия, 7 класс Учебник, авторы: Смирнов Владимир Алексеевич, Туяков Есенкельды Алыбаевич, издательство Мектеп, Алматы, 2017

Авторы: Смирнов В. А., Туяков Е. А.

Тип: Учебник

Издательство: Мектеп

Год издания: 2017 - 2026

ISBN: 978-601-07-0873-0

Утверждено Министерством образования и науки Республики Казахстан

Cтраница 111

App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
  #table: "book_pages"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
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  #withCount: []
  +preventsLazyLoading: false
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  #attributes: array:21 [
    "id" => 1114428
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    "updated_at" => null
    "field_page_start" => "111"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-111"
    "field_display_title" => "111"
    "field_folder" => "1"
    "field_image_name" => "111"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036
      #items: array:1 [
        0 => App\Models\Book {#1006
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
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            "id" => 2907
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            "field_tree_default_status" => "tasks"
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              #items: array:1 [
                0 => App\Models\Term {#1007
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                    "field_cases" => array:6 [ …6]
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            "field_class" => Illuminate\Database\Eloquent\Collection {#1010
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                0 => App\Models\Term {#1011
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                    "created_at" => "2026-04-10 13:58:26"
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                    "name" => "7"
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                    "field_translit" => "sedmoj"
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Мектеп"
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                  #connection: "mysql"
                  #table: "terms"
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                    "created_at" => "2026-04-10 13:58:26"
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                  #hidden: []
                  #visible: []
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                    0 => "*"
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                }
                1 => App\Models\Term {#1016
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #withCount: []
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                  #attributes: array:12 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Туяков"
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                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
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                    "field_name" => "Есенкельды"
                    "field_patronymic" => "Алыбаевич"
                    "field_surname_rp" => null
                  ]
                  #original: array:12 [
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              ]
              #escapeWhenCastingToString: false
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            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018
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                0 => App\Models\Term {#1019
                  #connection: "mysql"
                  #table: "terms"
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                    "field_plural_form" => null
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                    "field_translit" => "uchebnik"
                  ]
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                  ]
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            "field_country" => Illuminate\Database\Eloquent\Collection {#1020
              #items: array:1 [
                0 => App\Models\Term {#1021
                  #connection: "mysql"
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                    "updated_at" => null
                    "name" => "Казахстан"
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                    "field_translit" => "kazakhstan"
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                  #connection: "mysql"
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            "field_series" => Illuminate\Database\Eloquent\Collection {#1024
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            "field_umk" => Illuminate\Database\Eloquent\Collection {#1025
              #items: []
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            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026
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            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1027
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            "id" => 1290615
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            "edition" => Illuminate\Database\Eloquent\Collection {#1054
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                0 => App\Models\Edition {#1046
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                  #table: "editions"
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                  +incrementing: false
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                    "id" => 5009
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
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                  ]
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                    0 => "*"
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                }
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              0 => array:5 [
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            0 => "*"
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        0 => App\Models\BookPage {#4150
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                0 => App\Models\Element {#4269
                  #connection: "mysql"
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    "previous" => Illuminate\Database\Eloquent\Collection {#4144
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        0 => App\Models\BookPage {#4143
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                  #connection: "mysql"
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                  ]
                }
                1 => App\Models\Task {#4194
                  #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" => 1129827
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "110"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-7"
                    "field_display_title" => "19.7"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4197 …2}
                    "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 {#4198 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4199 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4200 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4226 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4227 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129827
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "110"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-7"
                    "field_display_title" => "19.7"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4197 …2}
                    "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 {#4198 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4199 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4200 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4226 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4227 …2}
                    "page" => array:2 [ …2]
                  ]
                  #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 {#4225
                  #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" => 1129828
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "110"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-8"
                    "field_display_title" => "19.8"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4228 …2}
                    "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 {#4229 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4230 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4231 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4234 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4240 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129828
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "110"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-8"
                    "field_display_title" => "19.8"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4228 …2}
                    "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 {#4229 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4230 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4231 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4234 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4240 …2}
                    "page" => array:2 [ …2]
                  ]
                  #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 {#4233
                  #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" => 1129829
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "110"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-9"
                    "field_display_title" => "19.9"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4232 …2}
                    "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 {#4239 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4241 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4237 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4236 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4254 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129829
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "110"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-9"
                    "field_display_title" => "19.9"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4232 …2}
                    "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 {#4239 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4241 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4237 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4236 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4254 …2}
                    "page" => array:2 [ …2]
                  ]
                  #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 {#4238
                  #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" => 1129830
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "110"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-10"
                    "field_display_title" => "19.10"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4235 …2}
                    "field_metatags_title" => null
                     …14
                  ]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1114427
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "110"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-110"
            "field_display_title" => "110"
            "field_folder" => "1"
            "field_image_name" => "110"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4145}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4146}
            "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 {#4147}
            "content" => Illuminate\Database\Eloquent\Collection {#4157}
            "next" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114426"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4148}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1038
      #items: array:4 [
        0 => App\Models\Task {#1058
          #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" => 1129831
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "111"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-11"
            "field_display_title" => "19.11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1062
              #items: array:1 [
                0 => App\Models\Term {#1059
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1061
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1096
              #items: array:1 [
                0 => App\Models\Branch {#1060
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1129
              #items: array:2 [
                0 => App\Models\Branch {#1137
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1142
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1126
              #items: array:3 [
                0 => App\Models\Element {#1119
                  #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 {#1117
                  #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 {#1111
                  #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" => "1129832"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129830"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1122
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129831
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "111"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-11"
            "field_display_title" => "19.11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1062}
            "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 {#1061}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1096}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1129}
            "content" => Illuminate\Database\Eloquent\Collection {#1126}
            "next" => array:2 [
              "refs" => "1129832"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129830"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1122}
            "page" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1094
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129832
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "111"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-12"
            "field_display_title" => "19.12"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1134
              #items: array:1 [
                0 => App\Models\Term {#1059}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "field_h1" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1123
              #items: []
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            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1121
              #items: array:1 [
                0 => App\Models\Branch {#1137}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1125
              #items: array:2 [
                0 => App\Models\Branch {#1137}
                1 => App\Models\Branch {#1142}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1099
              #items: array:3 [
                0 => App\Models\Element {#1130
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
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                  +exists: true
                  +wasRecentlyCreated: false
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                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1131
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1148
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
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                  #hidden: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
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            ]
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              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1127
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
          ]
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            "updated_at" => null
            "field_page_start" => "111"
            "field_page_end" => null
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            "field_display_title" => "19.12"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1134}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1123}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1121}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1125}
            "content" => Illuminate\Database\Eloquent\Collection {#1099}
            "next" => array:2 [
              "refs" => "1129833"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129831"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1127}
            "page" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #dateFormat: null
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          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Task {#1124
          #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" => 1129833
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "111"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-13"
            "field_display_title" => "19.13"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1098
              #items: array:1 [
                0 => App\Models\Term {#1059}
              ]
              #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 {#1128
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1136
              #items: array:1 [
                0 => App\Models\Branch {#1137}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1097
              #items: array:2 [
                0 => App\Models\Branch {#1137}
                1 => App\Models\Branch {#1142}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1100
              #items: array:3 [
                0 => App\Models\Element {#1158
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
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                  +timestamps: true
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1160
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +timestamps: true
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                }
                2 => App\Models\Element {#1162
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:6 [ …6]
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            "book" => Illuminate\Database\Eloquent\Collection {#1155
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                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
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              "type" => "book_page"
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            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-13"
            "field_display_title" => "19.13"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1098}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1128}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1136}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1097}
            "content" => Illuminate\Database\Eloquent\Collection {#1100}
            "next" => array:2 [
              "refs" => "1129834"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129832"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1155}
            "page" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #touches: []
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Task {#1095
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129834
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "111"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-14"
            "field_display_title" => "19.14"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1103
              #items: array:1 [
                0 => App\Models\Term {#1059}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1154
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:1 [
                0 => App\Models\Branch {#1137}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1152
              #items: array:2 [
                0 => App\Models\Branch {#1137}
                1 => App\Models\Branch {#1142}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1151
              #items: array:3 [
                0 => App\Models\Element {#1172
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
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                  #attributes: array:7 [ …7]
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                }
                1 => App\Models\Element {#1174
                  #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: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1176
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129835"
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            ]
            "previous" => array:2 [
              "refs" => "1129833"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
          ]
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            "id" => 1129834
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "111"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/19-14"
            "field_display_title" => "19.14"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1103}
            "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 {#1154}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1156}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1152}
            "content" => Illuminate\Database\Eloquent\Collection {#1151}
            "next" => array:2 [
              "refs" => "1129835"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129833"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1169}
            "page" => array:2 [
              "refs" => "1114428"
              "type" => "book_page"
            ]
          ]
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
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    "id" => 1114428
    "created_at" => "2026-04-10 13:58:26"
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    "field_page_start" => "111"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-111"
    "field_display_title" => "111"
    "field_folder" => "1"
    "field_image_name" => "111"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036}
    "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 {#1034}
    "content" => Illuminate\Database\Eloquent\Collection {#1045}
    "next" => array:2 [
      "refs" => "1114429"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114427"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1038}
  ]
  #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: Смирнов Владимир Алексеевич, Туяков Есенкельды Алыбаевич, издательство Мектеп, Алматы, 2017, страница 111
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