Страница 63 - 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 63

App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php
  #connection: "mysql"
  #table: "book_pages"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:21 [
    "id" => 1114380
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "63"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-63"
    "field_display_title" => "63"
    "field_folder" => "1"
    "field_image_name" => "63"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016
      #items: array:1 [
        0 => App\Models\Book {#1015
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:50 [
            "id" => 2907
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1020
              #items: array:1 [
                0 => App\Models\Term {#1017
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #attributes: array:10 [
                    "id" => 6477
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Геометрия"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [ …6]
                    "field_foreign_lang_name" => null
                    "field_short_name" => null
                    "field_subject_type" => "technical_subject"
                    "field_translit" => "geometrija"
                  ]
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                    "id" => 6477
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                    "updated_at" => null
                    "name" => "Геометрия"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [ …6]
                    "field_foreign_lang_name" => null
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                    "field_subject_type" => "technical_subject"
                    "field_translit" => "geometrija"
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1022
              #items: array:1 [
                0 => App\Models\Term {#1019
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  +incrementing: false
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                    "id" => 5456
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "7"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "sedmoj"
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                    "id" => 5456
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
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                    "field_translit" => "sedmoj"
                  ]
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                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1024
              #items: array:1 [
                0 => App\Models\Term {#1021
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  #attributes: array:6 [
                    "id" => 6996
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Мектеп"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "mektep"
                  ]
                  #original: array:6 [
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                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Мектеп"
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                    "field_translit" => "mektep"
                  ]
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              ]
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            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1018
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                0 => App\Models\Term {#1033
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
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                    "id" => 5801
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Смирнов"
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                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Владимир"
                    "field_patronymic" => "Алексеевич"
                    "field_surname_rp" => null
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                    "id" => 5801
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Смирнов"
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                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Владимир"
                    "field_patronymic" => "Алексеевич"
                    "field_surname_rp" => null
                  ]
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Term {#1034
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 7017
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Туяков"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Есенкельды"
                    "field_patronymic" => "Алыбаевич"
                    "field_surname_rp" => null
                  ]
                  #original: array:12 [
                    "id" => 7017
                    "created_at" => "2026-04-08 17:28:58"
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                    "field_name" => "Есенкельды"
                    "field_patronymic" => "Алыбаевич"
                    "field_surname_rp" => null
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1030
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1028
              #items: array:1 [
                0 => App\Models\Term {#1025
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
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                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
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                    "field_plural_form" => null
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                    "field_translit" => "uchebnik"
                  ]
                  #original: array:10 [
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                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Учебник"
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                    "field_cases" => array:6 [ …6]
                    "field_plural_form" => null
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                    "field_translit" => "uchebnik"
                  ]
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              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1029
              #items: array:1 [
                0 => App\Models\Term {#1032
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Казахстан"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "kazakhstan"
                  ]
                  #original: array:6 [
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                    "created_at" => "2026-04-08 17:28:58"
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                    "field_translit" => "kazakhstan"
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            "field_city" => Illuminate\Database\Eloquent\Collection {#1035
              #items: array:1 [
                0 => App\Models\Term {#1026
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                    "created_at" => "2026-04-08 17:28:58"
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                    "field_translit" => "almaty"
                  ]
                  #original: array:6 [
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                    "field_translit" => "almaty"
                  ]
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              ]
              #escapeWhenCastingToString: false
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            "field_series" => Illuminate\Database\Eloquent\Collection {#1027
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1023
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1036
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1037
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1038
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              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1039
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
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            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебник для 7 класса общеобразовательной школы"
            "field_allowed" => "Утверждено Министерством образования и науки Республики Казахстан"
            "field_reserve_field" => null
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            "field_tasks_count" => "528"
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            "field_isbn" => "978-601-07-0873-0"
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            ]
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              ]
            ]
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            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1040
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            }
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            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1043
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            "field_series" => Illuminate\Database\Eloquent\Collection {#1027}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1023}
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    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007
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    "content" => Illuminate\Database\Eloquent\Collection {#1047
      #items: array:1 [
        0 => App\Models\Element {#1046
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          #table: "elements"
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          #attributes: array:6 [
            "id" => 1290567
            "created_at" => "2026-04-08 17:28:58"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1056
              #items: array:1 [
                0 => App\Models\Edition {#1048
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                    "id" => 5009
                    "created_at" => "2026-04-08 17:28:58"
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1050 …2}
                    "field_content_type" => "free"
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                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
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                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 5009
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1050 …2}
                    "field_content_type" => "free"
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                  ]
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                    0 => "*"
                  ]
                }
              ]
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            }
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            "img" => array:1 [
              0 => array:5 [
                "name" => "63-1.jpg"
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                "width" => "1908"
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                "path" => "/media/geometrija_07/Smirnova-u17/0-1/63-1.webp"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1056}
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              "refs" => "1114380"
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                "alt" => null
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              ]
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "next" => Illuminate\Database\Eloquent\Collection {#5289
      #items: array:1 [
        0 => App\Models\BookPage {#5290
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
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          +incrementing: true
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          #attributes: array:21 [
            "id" => 1114381
            "created_at" => "2026-04-08 17:28:58"
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            "field_display_title" => "64"
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#5294
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            }
            "content" => Illuminate\Database\Eloquent\Collection {#5342
              #items: array:1 [
                0 => App\Models\Element {#5339
                  #connection: "mysql"
                  #table: "elements"
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                  #keyType: "int"
                  +incrementing: true
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                  #attributes: array:6 [
                    "id" => 1290568
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#5340 …2}
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                    "img" => array:1 [ …1]
                  ]
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                    "edition" => Illuminate\Database\Eloquent\Collection {#5340 …2}
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                    0 => "*"
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              ]
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            "next" => array:2 [
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            "previous" => array:2 [
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            "tasks" => Illuminate\Database\Eloquent\Collection {#5293
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                0 => App\Models\Task {#5359
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                  #keyType: "int"
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                  #attributes: array:24 [
                    "id" => 1129630
                    "created_at" => "2026-04-08 17:28:58"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5360 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#5361 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#5363 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#5372 …2}
                    "page" => array:2 [ …2]
                  ]
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                    "id" => 1129630
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                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#5365
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
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                    "created_at" => "2026-04-08 17:28:58"
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                    "field_display_title" => "11.6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5364 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#5371 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5373 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#5369 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#5368 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#5386 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129631
                    "created_at" => "2026-04-08 17:28:58"
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                    "field_display_title" => "11.6"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5364 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#5371 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#5369 …2}
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                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#5386 …2}
                    "page" => array:2 [ …2]
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                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#5370
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #perPage: 15
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1129632
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "field_page_start" => "64"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-7"
                    "field_display_title" => "11.7"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5367 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#5385 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#5387 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#5383 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#5382 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#5400 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5367 …2}
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                    0 => "*"
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                }
                3 => App\Models\Task {#5384
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1129633
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "field_page_start" => "64"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-8"
                    "field_display_title" => "11.8"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5381 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#5399 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#5397 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#5396 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#5414 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
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                    "created_at" => "2026-04-08 17:28:58"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5381 …2}
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                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#5398
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-08 17:28:58"
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                    "field_page_start" => "64"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-9"
                    "field_display_title" => "11.9"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#5395 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#5413 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#5411 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#5428 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1104
              #items: array:2 [
                0 => App\Models\Branch {#1112
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:23 [
                    "id" => 1129366
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "field_display_title" => "Треугольники"
                    "field_branch_order" => "2"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1113 …2}
                    "field_page_start" => "39"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1114 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1115 …2}
                  ]
                  #original: array:23 [ …23]
                  #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 {#1116
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:23 [ …23]
                  #original: array:23 [ …23]
                  #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 {#1101
              #items: array:3 [
                0 => App\Models\Element {#1094
                  #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 {#1092
                  #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 {#1086
                  #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" => "1129628"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129626"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1097
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114380"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129627
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "63"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-2"
            "field_display_title" => "11.2"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1063}
            "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 {#1062}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1072}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1104}
            "content" => Illuminate\Database\Eloquent\Collection {#1101}
            "next" => array:2 [
              "refs" => "1129628"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129626"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1097}
            "page" => array:2 [
              "refs" => "1114380"
              "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 {#1064
          #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" => 1129628
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "63"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-3"
            "field_display_title" => "11.3"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1109
              #items: array:1 [
                0 => App\Models\Term {#1060}
              ]
              #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 {#1098
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1096
              #items: array:1 [
                0 => App\Models\Branch {#1112}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1100
              #items: array:2 [
                0 => App\Models\Branch {#1112}
                1 => App\Models\Branch {#1116}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1066
              #items: array:3 [
                0 => App\Models\Element {#1105
                  #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 {#1106
                  #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 {#1122
                  #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" => "1129629"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129627"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1102
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114380"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129628
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "63"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-3"
            "field_display_title" => "11.3"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1109}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1098}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1096}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1100}
            "content" => Illuminate\Database\Eloquent\Collection {#1066}
            "next" => array:2 [
              "refs" => "1129629"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129627"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1102}
            "page" => array:2 [
              "refs" => "1114380"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
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          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Task {#1099
          #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" => 1129629
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "63"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-4"
            "field_display_title" => "11.4"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1068
              #items: array:1 [
                0 => App\Models\Term {#1060}
              ]
              #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 {#1103
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1111
              #items: array:1 [
                0 => App\Models\Branch {#1112}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1061
              #items: array:2 [
                0 => App\Models\Branch {#1112}
                1 => App\Models\Branch {#1116}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1069
              #items: array:3 [
                0 => App\Models\Element {#1132
                  #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 {#1134
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array: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 {#1136
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129630"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129628"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1129
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114380"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129629
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "63"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/11-4"
            "field_display_title" => "11.4"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1068}
            "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 {#1103}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1111}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1061}
            "content" => Illuminate\Database\Eloquent\Collection {#1069}
            "next" => array:2 [
              "refs" => "1129630"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129628"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1129}
            "page" => array:2 [
              "refs" => "1114380"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          +timestamps: true
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          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 1114380
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "63"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-63"
    "field_display_title" => "63"
    "field_folder" => "1"
    "field_image_name" => "63"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016}
    "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 {#1007}
    "content" => Illuminate\Database\Eloquent\Collection {#1047}
    "next" => array:2 [
      "refs" => "1114381"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114379"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009}
  ]
  #changes: []
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  +timestamps: true
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  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 7 класс Учебник, авторы: Смирнов Владимир Алексеевич, Туяков Есенкельды Алыбаевич, издательство Мектеп, Алматы, 2017, страница 63
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