Страница 32 - 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 32

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" => 1114349
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "32"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-32"
    "field_display_title" => "32"
    "field_folder" => "1"
    "field_image_name" => "32"
    "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" => "2026-04-08 17:28:58"
            "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" => "2026-04-08 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"
                  ]
                  #original: 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"
                  ]
                  #changes: []
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                  #dateFormat: null
                  #appends: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    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
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 5456
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "7"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "sedmoj"
                  ]
                  #original: array:6 [
                    "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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                  #visible: []
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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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                  +exists: true
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                  #escapeWhenCastingToString: false
                  #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 [
                    "id" => 6996
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Мектеп"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "mektep"
                  ]
                  #changes: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1014
              #items: array:2 [
                0 => App\Models\Term {#1015
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 5801
                    "created_at" => "2026-04-08 17:28:58"
                    "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" => "2026-04-08 17:28:58"
                    "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" => "2026-04-08 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"
                    "updated_at" => null
                    "name" => "Туяков"
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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" => "Есенкельды"
                    "field_patronymic" => "Алыбаевич"
                    "field_surname_rp" => null
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
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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
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 6671
                    "created_at" => "2026-04-08 17:28:58"
                    "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" => "2026-04-08 17:28:58"
                    "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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                  #dateFormat: null
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                  #hidden: []
                  #visible: []
                  #fillable: []
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                    0 => "*"
                  ]
                }
              ]
              #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" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Казахстан"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "kazakhstan"
                  ]
                  #original: array:6 [
                    "id" => 6994
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Казахстан"
                    "field_cases" => array:6 [ …6]
                    "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"
                  +incrementing: false
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
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                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Алматы"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "almaty"
                  ]
                  #original: array:6 [
                    "id" => 6995
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "name" => "Алматы"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "almaty"
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "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
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1029
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => "2017"
            "field_publication_year_until" => null
            "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"
            ]
            "field_cover_alts" => array:1 [
              0 => ""
            ]
            "field_covers" => array:1 [
              0 => array:4 [
                "path" => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp"
                "alt" => ""
                "width" => "1632"
                "height" => "2472"
              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1030
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1031
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            }
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              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "breadcrumbs" => array:3 [
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          ]
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#1009}
            "field_class" => Illuminate\Database\Eloquent\Collection {#1010}
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1012}
            "field_author" => Illuminate\Database\Eloquent\Collection {#1014}
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1017}
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1018}
            "field_country" => Illuminate\Database\Eloquent\Collection {#1020}
            "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_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1027}
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1028}
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1029}
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            "field_cover_description" => null
            "field_publication_year" => "2017"
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            "field_part" => ""
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            "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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              0 => "/media/geometrija_07/Smirnova-u17/covers/cover1.webp"
            ]
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                "width" => "1632"
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              ]
            ]
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            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1031}
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            "field_url" => "/7-klass/geometrija/smirnova-uchebnik"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1033}
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          ]
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    "field_h1" => null
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    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1034
      #items: []
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1045
      #items: array:1 [
        0 => App\Models\Element {#1044
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
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            "id" => 1290536
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            "edition" => Illuminate\Database\Eloquent\Collection {#1054
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                0 => App\Models\Edition {#1046
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
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                    "id" => 5009
                    "created_at" => "2026-04-08 17:28:58"
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                  ]
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                    "id" => 5009
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                    "field_order" => "1"
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                    0 => "*"
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                }
              ]
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              0 => array:5 [
                "name" => "32-1.jpg"
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                "width" => "1863"
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                "path" => "/media/geometrija_07/Smirnova-u17/0-1/32-1.webp"
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    "next" => Illuminate\Database\Eloquent\Collection {#4599
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        0 => App\Models\BookPage {#4499
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                0 => App\Models\Element {#4523
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              ]
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            "tasks" => Illuminate\Database\Eloquent\Collection {#4532
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-08 17:28:58"
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                    "page" => array:2 [ …2]
                  ]
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                    0 => "*"
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                }
                1 => App\Models\Task {#4511
                  #connection: "mysql"
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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_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4509 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4512 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4593 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4592 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4574 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#4594 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129503
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                    "updated_at" => null
                    "field_page_start" => "33"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/06-3"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4509 …2}
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                    0 => "*"
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                }
                2 => App\Models\Task {#4510
                  #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 {#4591 …2}
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    "previous" => Illuminate\Database\Eloquent\Collection {#4188
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        0 => App\Models\BookPage {#4187
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            "content" => Illuminate\Database\Eloquent\Collection {#4201
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                0 => App\Models\Element {#4200
                  #connection: "mysql"
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                    "edition" => Illuminate\Database\Eloquent\Collection {#4202 …2}
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                    "edition" => Illuminate\Database\Eloquent\Collection {#4202 …2}
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            "tasks" => Illuminate\Database\Eloquent\Collection {#4601
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                0 => App\Models\Task {#4613
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                }
                1 => App\Models\Task {#4715
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                    0 => "*"
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                }
                2 => App\Models\Task {#4717
                  #connection: "mysql"
                  #table: "tasks"
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                    "created_at" => "2026-04-08 17:28:58"
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                }
                3 => App\Models\Task {#4724
                  #connection: "mysql"
                  #table: "tasks"
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                  #keyType: "int"
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                  #attributes: 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 {#4722 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4748 …2}
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                4 => App\Models\Task {#4745
                  #connection: "mysql"
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    "tasks" => Illuminate\Database\Eloquent\Collection {#1035
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                0 => App\Models\Branch {#1060
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            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1162
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                    "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 {#1096 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1124 …2}
                  ]
                  #original: array:23 [
                    "id" => 1129359
                    "created_at" => "2026-04-08 17:28:58"
                    "updated_at" => null
                    "field_display_title" => "Начальные геометрические сведения"
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1095 …2}
                    "field_page_start" => "5"
                    "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
                     …8
                  ]
                  #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 {#1125
                  #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 {#1172
              #items: array:3 [
                0 => App\Models\Element {#1182
                  #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 {#1184
                  #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 {#1191
                  #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" => "1129500"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129498"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1179
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114349"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129499
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "32"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-6"
            "field_display_title" => "Задания"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1058}
            "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 {#1162}
            "content" => Illuminate\Database\Eloquent\Collection {#1172}
            "next" => array:2 [
              "refs" => "1129500"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129498"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1179}
            "page" => array:2 [
              "refs" => "1114349"
              "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 {#1164
          #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" => 1129500
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "32"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-6"
            "field_display_title" => "Вопросы"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1165
              #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 {#1163
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:1 [
                0 => App\Models\Branch {#1092}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:2 [
                0 => App\Models\Branch {#1092}
                1 => App\Models\Branch {#1125}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1177
              #items: array:3 [
                0 => App\Models\Element {#1208
                  #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 {#1210
                  #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 {#1212
                  #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" => "1129501"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129499"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1205
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114349"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129500
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "32"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-6"
            "field_display_title" => "Вопросы"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1165}
            "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 {#1163}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1170}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1169}
            "content" => Illuminate\Database\Eloquent\Collection {#1177}
            "next" => array:2 [
              "refs" => "1129501"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129499"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1205}
            "page" => array:2 [
              "refs" => "1114349"
              "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 => "*"
          ]
        }
        2 => App\Models\Task {#1168
          #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" => 1129501
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "32"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/06-1"
            "field_display_title" => "6.1"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1180
              #items: array:1 [
                0 => App\Models\Term {#1167
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1176
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1166
              #items: array:1 [
                0 => App\Models\Branch {#1092}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1178
              #items: array:2 [
                0 => App\Models\Branch {#1092}
                1 => App\Models\Branch {#1125}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1200
              #items: array:3 [
                0 => App\Models\Element {#1223
                  #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 {#1225
                  #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 {#1227
                  #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" => "1129502"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129500"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1220
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114349"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129501
            "created_at" => "2026-04-08 17:28:58"
            "updated_at" => null
            "field_page_start" => "32"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/06-1"
            "field_display_title" => "6.1"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1180}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1176}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1166}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1178}
            "content" => Illuminate\Database\Eloquent\Collection {#1200}
            "next" => array:2 [
              "refs" => "1129502"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129500"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1220}
            "page" => array:2 [
              "refs" => "1114349"
              "type" => "book_page"
            ]
          ]
          #changes: []
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          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
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          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 1114349
    "created_at" => "2026-04-08 17:28:58"
    "updated_at" => null
    "field_page_start" => "32"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-32"
    "field_display_title" => "32"
    "field_folder" => "1"
    "field_image_name" => "32"
    "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" => "1114350"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114348"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1035}
  ]
  #changes: []
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  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
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  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 7 класс Учебник, авторы: Смирнов Владимир Алексеевич, Туяков Есенкельды Алыбаевич, издательство Мектеп, Алматы, 2017, страница 32
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