Страница 85 - гдз по геометрии 10-11 класс учебник Атанасян, Бутузов

Геометрия, 10-11 класс Учебник, авторы: Атанасян Левон Сергеевич, Бутузов Валентин Фёдорович, Кадомцев Сергей Борисович, Позняк Эдуард Генрихович, Киселёва Людмила Сергеевна, издательство Просвещение, Москва, 2019, коричневого цвета

Авторы: Атанасян Л. С., Бутузов В. Ф., Кадомцев С. Б., Позняк Э. Г., Киселёва Л. С.

Тип: Учебник

Издательство: Просвещение

Год издания: 2019 - 2026

Уровень обучения: базовый и углублённый

Цвет обложки: коричневый с ромбами

ISBN: 978-5-09-103606-0 (2023)

Допущено Министерством просвещения Российской Федерации

Математика: алгебра и начала математического анализа, геометрия

Cтраница 85

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    "tasks" => Illuminate\Database\Eloquent\Collection {#1044
      #items: array:18 [
        0 => App\Models\Task {#1045
          #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" => 744696
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-281"
            "field_display_title" => "281"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1046
              #items: array:1 [
                0 => App\Models\Term {#1047 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#1048
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1049
              #items: array:1 [
                0 => App\Models\Branch {#1050 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1055
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1060 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1065
              #items: array:6 [
                0 => App\Models\Element {#1066 …30}
                1 => App\Models\Element {#1068 …30}
                2 => App\Models\Element {#1076 …30}
                3 => App\Models\Element {#1084 …30}
                4 => App\Models\Element {#1092 …30}
                5 => App\Models\Element {#1100 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "744697"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744695"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1108
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 744696
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-281"
            "field_display_title" => "281"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1046}
            "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 {#1048}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1049}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1055}
            "content" => Illuminate\Database\Eloquent\Collection {#1065}
            "next" => array:2 [
              "refs" => "744697"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744695"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1108}
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
          +timestamps: true
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1109
          #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" => 744697
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-282"
            "field_display_title" => "282"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1110
              #items: array:1 [
                0 => App\Models\Term {#1047 …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 {#1111
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1112
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1113
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1060 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1114
              #items: array:6 [
                0 => App\Models\Element {#1115 …30}
                1 => App\Models\Element {#1117 …30}
                2 => App\Models\Element {#1119 …30}
                3 => App\Models\Element {#1121 …30}
                4 => App\Models\Element {#1123 …30}
                5 => App\Models\Element {#1125 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "744698"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744696"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1127
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 744697
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-282"
            "field_display_title" => "282"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1110}
            "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 {#1111}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1112}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1113}
            "content" => Illuminate\Database\Eloquent\Collection {#1114}
            "next" => array:2 [
              "refs" => "744698"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744696"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1127}
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #dateFormat: null
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          #touches: []
          +timestamps: true
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Task {#1128
          #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" => 744698
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-283"
            "field_display_title" => "283"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1129
              #items: array:1 [
                0 => App\Models\Term {#1047 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#1130
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1131
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1132
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1060 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1133
              #items: array:6 [
                0 => App\Models\Element {#1134 …30}
                1 => App\Models\Element {#1136 …30}
                2 => App\Models\Element {#1138 …30}
                3 => App\Models\Element {#1140 …30}
                4 => App\Models\Element {#1142 …30}
                5 => App\Models\Element {#1144 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "744699"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744697"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1146
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 744698
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-283"
            "field_display_title" => "283"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1129}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1130}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1131}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1132}
            "content" => Illuminate\Database\Eloquent\Collection {#1133}
            "next" => array:2 [
              "refs" => "744699"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744697"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1146}
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
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          #dateFormat: null
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            0 => "*"
          ]
        }
        3 => App\Models\Task {#1147
          #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" => 744699
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-284"
            "field_display_title" => "284"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1148
              #items: array:1 [
                0 => App\Models\Term {#1047 …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 {#1149
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1150
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1151
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1060 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1152
              #items: array:6 [
                0 => App\Models\Element {#1153 …30}
                1 => App\Models\Element {#1155 …30}
                2 => App\Models\Element {#1157 …30}
                3 => App\Models\Element {#1159 …30}
                4 => App\Models\Element {#1161 …30}
                5 => App\Models\Element {#1163 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "744700"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744698"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1165
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 744699
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-284"
            "field_display_title" => "284"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1148}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1149}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1150}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1151}
            "content" => Illuminate\Database\Eloquent\Collection {#1152}
            "next" => array:2 [
              "refs" => "744700"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744698"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1165}
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
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          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        4 => App\Models\Task {#1166
          #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" => 744700
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-285"
            "field_display_title" => "285"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1167
              #items: array:1 [
                0 => App\Models\Term {#1047 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#1168
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1060 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1171
              #items: array:6 [
                0 => App\Models\Element {#1172 …30}
                1 => App\Models\Element {#1174 …30}
                2 => App\Models\Element {#1176 …30}
                3 => App\Models\Element {#1178 …30}
                4 => App\Models\Element {#1180 …30}
                5 => App\Models\Element {#1182 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "744701"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744699"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1184
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 744700
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-285"
            "field_display_title" => "285"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1167}
            "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 {#1168}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1169}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1170}
            "content" => Illuminate\Database\Eloquent\Collection {#1171}
            "next" => array:2 [
              "refs" => "744701"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744699"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1184}
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        5 => App\Models\Task {#1185
          #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" => 744701
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-286"
            "field_display_title" => "286"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1186
              #items: array:1 [
                0 => App\Models\Term {#1047 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1187
              #items: []
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            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1188
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1189
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1060 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1190
              #items: array:6 [
                0 => App\Models\Element {#1191 …30}
                1 => App\Models\Element {#1193 …30}
                2 => App\Models\Element {#1195 …30}
                3 => App\Models\Element {#1197 …30}
                4 => App\Models\Element {#1199 …30}
                5 => App\Models\Element {#1201 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "744702"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744700"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1203
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
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            "id" => 744701
            "created_at" => "2026-04-10 13:58:26"
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            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-286"
            "field_display_title" => "286"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1186}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1187}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1188}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1189}
            "content" => Illuminate\Database\Eloquent\Collection {#1190}
            "next" => array:2 [
              "refs" => "744702"
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            ]
            "previous" => array:2 [
              "refs" => "744700"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1203}
            "page" => array:2 [
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              "type" => "book_page"
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          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        6 => App\Models\Task {#1204
          #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" => 744702
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-287"
            "field_display_title" => "287"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1205
              #items: array:1 [
                0 => App\Models\Term {#1047 …30}
              ]
              #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 {#1206
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1207
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1208
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1060 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1209
              #items: array:6 [
                0 => App\Models\Element {#1210 …30}
                1 => App\Models\Element {#1212 …30}
                2 => App\Models\Element {#1214 …30}
                3 => App\Models\Element {#1216 …30}
                4 => App\Models\Element {#1218 …30}
                5 => App\Models\Element {#1220 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745469"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744701"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1222
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
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            "id" => 744702
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/00-287"
            "field_display_title" => "287"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1205}
            "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 {#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" => "745469"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "744701"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1222}
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
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          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        7 => App\Models\Task {#1223
          #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" => 745469
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-1"
            "field_display_title" => "1"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1224
              #items: array:1 [
                0 => App\Models\Term {#1047 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#1225
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1226
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1227
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                1 => App\Models\Branch {#1228 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1272
              #items: array:4 [
                0 => App\Models\Element {#1273 …30}
                1 => App\Models\Element {#1275 …30}
                2 => App\Models\Element {#1277 …30}
                3 => App\Models\Element {#1279 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745470"
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            ]
            "previous" => array:2 [
              "refs" => "744702"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1281
              #items: array:1 [
                0 => App\Models\Book {#998}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745469
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-1"
            "field_display_title" => "1"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1224}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1225}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1226}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1227}
            "content" => Illuminate\Database\Eloquent\Collection {#1272}
            "next" => array:2 [
              "refs" => "745470"
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            "previous" => array:2 [
              "refs" => "744702"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1281}
            "page" => array:2 [
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              "type" => "book_page"
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            0 => "*"
          ]
        }
        8 => App\Models\Task {#1282
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 745470
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
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            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-2"
            "field_display_title" => "2"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1283
              #items: array:1 [
                0 => App\Models\Term {#1047 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1284
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1285
              #items: array:1 [
                0 => App\Models\Branch {#1056 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1286
              #items: array:2 [
                0 => App\Models\Branch {#1056 …30}
                 …1
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1287
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745471"
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            ]
            "previous" => array:2 [
              "refs" => "745469"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1296
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
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            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-2"
            "field_display_title" => "2"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1283}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1284}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1285}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1286}
            "content" => Illuminate\Database\Eloquent\Collection {#1287}
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              "refs" => "745471"
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              "refs" => "745469"
              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1296}
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
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            0 => "*"
          ]
        }
        9 => App\Models\Task {#1297
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #perPage: 15
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          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 745471
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-3"
            "field_display_title" => "3"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1298
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1299
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1300
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1301
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1302
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
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            ]
            "previous" => array:2 [
              "refs" => "745470"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1311
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
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            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-3"
            "field_display_title" => "3"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1298}
            "field_metatags_title" => null
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            "field_h1" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1299}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1300}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1301}
            "content" => Illuminate\Database\Eloquent\Collection {#1302}
            "next" => array:2 [
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            "book" => Illuminate\Database\Eloquent\Collection {#1311}
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          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        10 => App\Models\Task {#1312
          #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" => 745472
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-4"
            "field_display_title" => "4"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1313
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1314
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1315
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1316
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1317
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745473"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745471"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1326
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745472
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-4"
            "field_display_title" => "4"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1313}
            "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 {#1314}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1315}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1316}
            "content" => Illuminate\Database\Eloquent\Collection {#1317}
            "next" => array:2 [
              "refs" => "745473"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745471"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1326}
            "page" => array:2 [
              "refs" => "933867"
              "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 => "*"
          ]
        }
        11 => App\Models\Task {#1327
          #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" => 745473
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-5"
            "field_display_title" => "5"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1328
              #items: 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 {#1329
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1330
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1331
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1332
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745474"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745472"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1341
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745473
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-5"
            "field_display_title" => "5"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1328}
            "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 {#1329}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1330}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1331}
            "content" => Illuminate\Database\Eloquent\Collection {#1332}
            "next" => array:2 [
              "refs" => "745474"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745472"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1341}
            "page" => array:2 [
              "refs" => "933867"
              "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 => "*"
          ]
        }
        12 => App\Models\Task {#1342
          #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" => 745474
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-6"
            "field_display_title" => "6"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1343
              #items: 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 {#1344
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1345
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1346
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1347
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745475"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745473"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1356
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745474
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-6"
            "field_display_title" => "6"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1343}
            "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 {#1344}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1345}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1346}
            "content" => Illuminate\Database\Eloquent\Collection {#1347}
            "next" => array:2 [
              "refs" => "745475"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745473"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1356}
            "page" => array:2 [
              "refs" => "933867"
              "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 => "*"
          ]
        }
        13 => App\Models\Task {#1357
          #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" => 745475
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-7"
            "field_display_title" => "7"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1358
              #items: 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 {#1359
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1360
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1361
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1362
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745476"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745474"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1371
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745475
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-7"
            "field_display_title" => "7"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1358}
            "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 {#1359}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1360}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1361}
            "content" => Illuminate\Database\Eloquent\Collection {#1362}
            "next" => array:2 [
              "refs" => "745476"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745474"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1371}
            "page" => array:2 [
              "refs" => "933867"
              "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 => "*"
          ]
        }
        14 => App\Models\Task {#1372
          #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" => 745476
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-8"
            "field_display_title" => "8"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1373
              #items: 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 {#1374
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1375
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1376
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1377
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745477"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745475"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1386
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745476
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-8"
            "field_display_title" => "8"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1373}
            "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 {#1374}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1375}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1376}
            "content" => Illuminate\Database\Eloquent\Collection {#1377}
            "next" => array:2 [
              "refs" => "745477"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745475"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1386}
            "page" => array:2 [
              "refs" => "933867"
              "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 => "*"
          ]
        }
        15 => App\Models\Task {#1387
          #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" => 745477
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-9"
            "field_display_title" => "9"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1388
              #items: 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 {#1389
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1390
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1391
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1392
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745478"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745476"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1401
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745477
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-9"
            "field_display_title" => "9"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1388}
            "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 {#1389}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1390}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1391}
            "content" => Illuminate\Database\Eloquent\Collection {#1392}
            "next" => array:2 [
              "refs" => "745478"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745476"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1401}
            "page" => array:2 [
              "refs" => "933867"
              "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 => "*"
          ]
        }
        16 => App\Models\Task {#1402
          #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" => 745478
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-10"
            "field_display_title" => "10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1403
              #items: 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 {#1404
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1405
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1406
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1407
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745479"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745477"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1416
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745478
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-10"
            "field_display_title" => "10"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1403}
            "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 {#1404}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1405}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1406}
            "content" => Illuminate\Database\Eloquent\Collection {#1407}
            "next" => array:2 [
              "refs" => "745479"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745477"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1416}
            "page" => array:2 [
              "refs" => "933867"
              "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 => "*"
          ]
        }
        17 => App\Models\Task {#1417
          #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" => 745479
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-11"
            "field_display_title" => "11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1418
              #items: 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 {#1419
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1420
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1421
              #items: array:2 [ …2]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1422
              #items: array:4 [ …4]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "745480"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745478"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1431
              #items: array:1 [ …1]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "933867"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 745479
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "85"
            "field_page_end" => null
            "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/vop-3-11"
            "field_display_title" => "11"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1418}
            "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 {#1419}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1420}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1421}
            "content" => Illuminate\Database\Eloquent\Collection {#1422}
            "next" => array:2 [
              "refs" => "745480"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "745478"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1431}
            "page" => array:2 [
              "refs" => "933867"
              "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" => 933867
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "85"
    "field_url" => "/10-klass/geometrija/atanasjan-uchebnik/page-85"
    "field_display_title" => "85"
    "field_folder" => "1"
    "field_image_name" => "85"
    "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 {#1034}
    "content" => Illuminate\Database\Eloquent\Collection {#1035}
    "next" => array:2 [
      "refs" => "933868"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "933866"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1044}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 10-11 класс Учебник, авторы: Атанасян Левон Сергеевич, Бутузов Валентин Фёдорович, Кадомцев Сергей Борисович, Позняк Эдуард Генрихович, Киселёва Людмила Сергеевна, издательство Просвещение, Москва, 2019, коричневого цвета, страница 85
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