Страница 19 - 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 19

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" => 1114336
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "19"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-19"
    "field_display_title" => "19"
    "field_folder" => "1"
    "field_image_name" => "19"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036
      #items: array:1 [
        0 => App\Models\Book {#1006
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:50 [
            "id" => 2907
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1009
              #items: array:1 [
                0 => App\Models\Term {#1007
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 6477
                    "created_at" => "2026-04-10 13:58:26"
                    "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"
                  ]
                  #original: array:10 [
                    "id" => 6477
                    "created_at" => "2026-04-10 13:58:26"
                    "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"
                  ]
                  #changes: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1010
              #items: array:1 [
                0 => App\Models\Term {#1011
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #attributes: array:6 [
                    "id" => 5456
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "7"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "sedmoj"
                  ]
                  #original: array:6 [
                    "id" => 5456
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "7"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "sedmoj"
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012
              #items: array:1 [
                0 => App\Models\Term {#1013
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 6996
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Мектеп"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "mektep"
                  ]
                  #original: array:6 [
                    "id" => 6996
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Мектеп"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "mektep"
                  ]
                  #changes: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1014
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                0 => App\Models\Term {#1015
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 5801
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Смирнов"
                    "field_bio" => null
                    "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
                  ]
                  #original: array:12 [
                    "id" => 5801
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Смирнов"
                    "field_bio" => null
                    "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
                  ]
                  #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\Term {#1016
                  #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" => "2026-04-10 13:58:26"
                    "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" => "2026-04-10 13:58:26"
                    "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
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018
              #items: array:1 [
                0 => App\Models\Term {#1019
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 6671
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Учебник"
                    "field_book_type_foreign" => null
                    "field_cases" => array:6 [ …6]
                    "field_plural_form" => null
                    "field_short_name" => null
                    "field_short_name_foreign" => null
                    "field_translit" => "uchebnik"
                  ]
                  #original: array:10 [
                    "id" => 6671
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Учебник"
                    "field_book_type_foreign" => null
                    "field_cases" => array:6 [ …6]
                    "field_plural_form" => null
                    "field_short_name" => null
                    "field_short_name_foreign" => null
                    "field_translit" => "uchebnik"
                  ]
                  #changes: []
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                  #visible: []
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                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1020
              #items: array:1 [
                0 => App\Models\Term {#1021
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #attributes: array:6 [
                    "id" => 6994
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Казахстан"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "kazakhstan"
                  ]
                  #original: array:6 [
                    "id" => 6994
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Казахстан"
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                    "field_translit" => "kazakhstan"
                  ]
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              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1022
              #items: array:1 [
                0 => App\Models\Term {#1023
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:6 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Алматы"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "almaty"
                  ]
                  #original: array:6 [
                    "id" => 6995
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Алматы"
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                    "field_translit" => "almaty"
                  ]
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              #escapeWhenCastingToString: false
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            "field_series" => Illuminate\Database\Eloquent\Collection {#1024
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1025
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1026
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1027
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1028
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              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1029
              #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
            "field_link_to_source" => null
            "field_tasks_count" => "528"
            "field_priority" => "2"
            "field_default_folder" => "/geometrija_07/Smirnova-u17/"
            "field_isbn" => "978-601-07-0873-0"
            "field_cover" => array:1 [
              0 => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp?ts=1753259592"
            ]
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              0 => ""
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              0 => array:4 [
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                "alt" => ""
                "width" => "1632"
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              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1030
              #items: []
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            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033
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            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018}
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            "field_city" => Illuminate\Database\Eloquent\Collection {#1022}
            "field_series" => Illuminate\Database\Eloquent\Collection {#1024}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1025}
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            "field_for_whom" => "Учебник для 7 класса общеобразовательной школы"
            "field_allowed" => "Утверждено Министерством образования и науки Республики Казахстан"
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            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033}
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    "content" => Illuminate\Database\Eloquent\Collection {#1045
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        0 => App\Models\Element {#1044
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                    0 => "*"
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                }
                1 => App\Models\Task {#4258
                  #connection: "mysql"
                  #table: "tasks"
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                  #keyType: "int"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4259 …2}
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                    0 => "*"
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                }
                2 => App\Models\Task {#4271
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
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                  #attributes: array:24 [
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                    "field_display_title" => "3.12"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4272 …2}
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                    0 => "*"
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                }
                3 => App\Models\Task {#4284
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:24 [
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4285 …2}
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                  #original: array:24 [
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                    0 => "*"
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                }
                4 => App\Models\Task {#4297
                  #connection: "mysql"
                  #table: "tasks"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-14"
                    "field_display_title" => "3.14"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4298 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4301 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4309 …2}
                    "page" => array:2 [ …2]
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                  #original: array:24 [
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                    0 => "*"
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                }
                5 => App\Models\Task {#4310
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:24 [
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-15"
                    "field_display_title" => "3.15"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4311 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4312 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4313 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4314 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4322 …2}
                    "page" => array:2 [ …2]
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                  #original: array:24 [
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                    "field_display_title" => "3.15"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4311 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4322 …2}
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                    0 => "*"
                  ]
                }
                6 => App\Models\Task {#4323
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-16"
                    "field_display_title" => "3.16"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4324 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4325 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4326 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4327 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4335 …2}
                    "page" => array:2 [ …2]
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                  #original: array:24 [
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                    "field_display_title" => "3.16"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4324 …2}
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                    0 => "*"
                  ]
                }
                7 => App\Models\Task {#4336
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #attributes: array:24 [
                    "id" => 1129441
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "18"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-17"
                    "field_display_title" => "3.17"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4337 …2}
                    "field_metatags_title" => null
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                    "field_h1" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4338 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4339 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4340 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4341 …2}
                     …4
                  ]
                  #original: array:24 [ …24]
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                8 => App\Models\Task {#4349
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                9 => App\Models\Task {#4362
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                10 => App\Models\Task {#4375
                  #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 [ …24]
                  #original: array:24 [ …24]
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                11 => App\Models\Task {#4388
                  #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 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1114335
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "18"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-18"
            "field_display_title" => "18"
            "field_folder" => "1"
            "field_image_name" => "18"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4172}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4180}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4207}
            "content" => Illuminate\Database\Eloquent\Collection {#4208}
            "next" => array:2 [
              "refs" => "1114336"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114334"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4217}
          ]
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          #dateFormat: null
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          #visible: []
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1038
      #items: array:2 [
        0 => App\Models\Task {#1056
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
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          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129446
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-22"
            "field_display_title" => "3.22"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1060
              #items: array:1 [
                0 => App\Models\Term {#1057
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
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                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "field_h1" => null
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            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1059
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1094
              #items: array:1 [
                0 => App\Models\Branch {#1058
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1127
              #items: array:2 [
                0 => App\Models\Branch {#1135
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1140
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1124
              #items: array:3 [
                0 => App\Models\Element {#1117
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1115
                  #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
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1109
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129447"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129445"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1120
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114336"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129446
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "19"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/03-22"
            "field_display_title" => "3.22"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1060}
            "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 {#1059}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1094}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1127}
            "content" => Illuminate\Database\Eloquent\Collection {#1124}
            "next" => array:2 [
              "refs" => "1129447"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129445"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1120}
            "page" => array:2 [
              "refs" => "1114336"
              "type" => "book_page"
            ]
          ]
          #changes: []
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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 {#1092
          #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" => 1129447
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "19"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-4"
            "field_display_title" => "Задания"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1132
              #items: []
              #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 {#1121
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1119
              #items: array:1 [
                0 => App\Models\Branch {#1135}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1199
              #items: array:2 [
                0 => App\Models\Branch {#1123
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1162
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #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 {#1202
              #items: array:3 [
                0 => App\Models\Element {#1211
                  #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: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1213
                  #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: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Element {#1215
                  #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: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1129448"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129446"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1208
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114336"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129447
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "19"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-4"
            "field_display_title" => "Задания"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1132}
            "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 {#1121}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1119}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1199}
            "content" => Illuminate\Database\Eloquent\Collection {#1202}
            "next" => array:2 [
              "refs" => "1129448"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129446"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1208}
            "page" => array:2 [
              "refs" => "1114336"
              "type" => "book_page"
            ]
          ]
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          #attributeCastCache: []
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          #touches: []
          +timestamps: true
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 1114336
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "19"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-19"
    "field_display_title" => "19"
    "field_folder" => "1"
    "field_image_name" => "19"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1036}
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034}
    "content" => Illuminate\Database\Eloquent\Collection {#1045}
    "next" => array:2 [
      "refs" => "1114337"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114335"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1038}
  ]
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  #attributeCastCache: []
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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 19
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