Страница 80 - 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 80

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" => 1114397
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "80"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-80"
    "field_display_title" => "80"
    "field_folder" => "1"
    "field_image_name" => "80"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016
      #items: array:1 [
        0 => App\Models\Book {#1015
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:50 [
            "id" => 2907
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1020
              #items: array:1 [
                0 => App\Models\Term {#1017
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #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"
                  ]
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                    "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
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                    "field_subject_type" => "technical_subject"
                    "field_translit" => "geometrija"
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1022
              #items: array:1 [
                0 => App\Models\Term {#1019
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  +incrementing: false
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                    "id" => 5456
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "7"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "sedmoj"
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                  #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 {#1024
              #items: array:1 [
                0 => App\Models\Term {#1021
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  #attributes: array:6 [
                    "id" => 6996
                    "created_at" => "2026-04-10 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"
                  ]
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              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1018
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                0 => App\Models\Term {#1033
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
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                    "id" => 5801
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Смирнов"
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                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Владимир"
                    "field_patronymic" => "Алексеевич"
                    "field_surname_rp" => null
                  ]
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                    "id" => 5801
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Смирнов"
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                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Владимир"
                    "field_patronymic" => "Алексеевич"
                    "field_surname_rp" => null
                  ]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Term {#1034
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 7017
                    "created_at" => "2026-04-10 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"
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                    "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
                  ]
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                  #hidden: []
                  #visible: []
                  #fillable: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1030
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1028
              #items: array:1 [
                0 => App\Models\Term {#1025
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
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                  #attributes: array:10 [
                    "id" => 6671
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Учебник"
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                    "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"
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                    "field_cases" => array:6 [ …6]
                    "field_plural_form" => null
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                    "field_translit" => "uchebnik"
                  ]
                  #changes: []
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              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1029
              #items: array:1 [
                0 => App\Models\Term {#1032
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #attributes: array:6 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Казахстан"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "kazakhstan"
                  ]
                  #original: array:6 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_translit" => "kazakhstan"
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            "field_city" => Illuminate\Database\Eloquent\Collection {#1035
              #items: array:1 [
                0 => App\Models\Term {#1026
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_translit" => "almaty"
                  ]
                  #original: array:6 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_translit" => "almaty"
                  ]
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              ]
              #escapeWhenCastingToString: false
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            "field_series" => Illuminate\Database\Eloquent\Collection {#1027
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1023
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1036
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1037
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => null
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1038
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              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1039
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
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            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебник для 7 класса общеобразовательной школы"
            "field_allowed" => "Утверждено Министерством образования и науки Республики Казахстан"
            "field_reserve_field" => null
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            "field_tasks_count" => "528"
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            "field_isbn" => "978-601-07-0873-0"
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              0 => array:4 [
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                "alt" => ""
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              ]
            ]
            "field_popular_book" => null
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1040
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            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1043
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            "field_class" => Illuminate\Database\Eloquent\Collection {#1022}
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            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1028}
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            "field_series" => Illuminate\Database\Eloquent\Collection {#1027}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1023}
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            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1038}
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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 {#1043}
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    "content" => Illuminate\Database\Eloquent\Collection {#1047
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        0 => App\Models\Element {#1046
          #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 [
            "id" => 1290584
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1056
              #items: array:1 [
                0 => App\Models\Edition {#1048
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 5009
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1050 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
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                    "field_content_text_checked" => null
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "pasha"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1051 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1052 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1053 …2}
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 5009
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1050 …2}
                    "field_content_type" => "free"
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                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
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                    "field_comment" => null
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                    "field_process_formula" => "katex"
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                    "field_content_source" => null
                  ]
                  #changes: []
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                  #dateFormat: null
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                  +timestamps: true
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                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "book_page" => array:2 [
              "refs" => "1114397"
              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
                "name" => "80-1.jpg"
                "alt" => null
                "width" => "1925"
                "height" => 2867
                "path" => "/media/geometrija_07/Smirnova-u17/0-1/80-1.webp?ts=1753260173"
              ]
            ]
          ]
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            "id" => 1290584
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1056}
            "book_page" => array:2 [
              "refs" => "1114397"
              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
                "name" => "80-1.jpg"
                "alt" => null
                "width" => "1925"
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                "path" => "/media/geometrija_07/Smirnova-u17/0-1/80-1.webp?ts=1753260173"
              ]
            ]
          ]
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          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "next" => Illuminate\Database\Eloquent\Collection {#4101
      #items: array:1 [
        0 => App\Models\BookPage {#4096
          #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" => 1114398
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-81"
            "field_display_title" => "81"
            "field_folder" => "1"
            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4099
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4102
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
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            }
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#4100
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#4116
              #items: array:1 [
                0 => App\Models\Element {#4115
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 1290585
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#4117 …2}
                    "book_page" => array:2 [ …2]
                    "img" => array:1 [ …1]
                  ]
                  #original: array:6 [
                    "id" => 1290585
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#4117 …2}
                    "book_page" => array:2 [ …2]
                    "img" => array:1 [ …1]
                  ]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
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                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1114399"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114397"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4109
              #items: array:10 [
                0 => App\Models\Task {#4129
                  #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" => 1129699
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
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                    "field_display_title" => "14.1"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4133 …2}
                    "field_metatags_title" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4132 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4131 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4134 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4137 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4143 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129699
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-1"
                    "field_display_title" => "14.1"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4133 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4132 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4143 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#4136
                  #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" => 1129700
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-2"
                    "field_display_title" => "14.2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4135 …2}
                    "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 {#4142 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4144 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4140 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4139 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4157 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129700
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-2"
                    "field_display_title" => "14.2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4135 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4142 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4144 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4140 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4139 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4157 …2}
                    "page" => array:2 [ …2]
                  ]
                  #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 => "*"
                  ]
                }
                2 => App\Models\Task {#4141
                  #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" => 1129701
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-3"
                    "field_display_title" => "14.3"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4138 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4156 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4158 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4154 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4153 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4171 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129701
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-3"
                    "field_display_title" => "14.3"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4138 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4156 …2}
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                    "content" => Illuminate\Database\Eloquent\Collection {#4153 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#4171 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
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                    0 => "*"
                  ]
                }
                3 => App\Models\Task {#4155
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1129702
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-4"
                    "field_display_title" => "14.4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4152 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4170 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#4172 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4168 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4167 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#4185 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129702
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-4"
                    "field_display_title" => "14.4"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4152 …2}
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                    "page" => array:2 [ …2]
                  ]
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                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#4169
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1129703
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
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                    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/14-5"
                    "field_display_title" => "14.5"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4166 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4184 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4182 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4181 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4199 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1129703
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4182 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4181 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4199 …2}
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                    0 => "*"
                  ]
                }
                5 => App\Models\Task {#4183
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_display_title" => "14.6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4180 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#4198 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4196 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4195 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#4213 …2}
                    "page" => array:2 [ …2]
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                    0 => "*"
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                }
                6 => App\Models\Task {#4197
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_display_title" => "14.7"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4194 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4210 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4209 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4227 …2}
                    "page" => array:2 [ …2]
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                    0 => "*"
                  ]
                }
                7 => App\Models\Task {#4211
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
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                    "field_display_title" => "14.8"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4208 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4224 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#4223 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4241 …2}
                    "page" => array:2 [ …2]
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                8 => App\Models\Task {#4225
                  #connection: "mysql"
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4222 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#4238 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#4255 …2}
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                9 => App\Models\Task {#4239
                  #connection: "mysql"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#4236 …2}
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    "previous" => Illuminate\Database\Eloquent\Collection {#4092
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        0 => App\Models\BookPage {#4091
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            "field_image_name" => "79"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4093}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4094}
            "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 {#4095}
            "content" => Illuminate\Database\Eloquent\Collection {#4105}
            "next" => array:2 [
              "refs" => "1114397"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1114395"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4097}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1012
      #items: array:2 [
        0 => App\Models\Task {#1058
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1129697
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "80"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-14"
            "field_display_title" => "Задания"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1059
              #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 {#1060
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1070
              #items: array:1 [
                0 => App\Models\Branch {#1069
                  #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 [
                    "id" => 1129374
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Взаимное расположение прямых"
                    "field_branch_order" => "3"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1074 …2}
                    "field_page_start" => "79"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1073 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1072 …2}
                  ]
                  #original: array:24 [
                    "id" => 1129374
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Взаимное расположение прямых"
                    "field_branch_order" => "3"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1074 …2}
                    "field_page_start" => "79"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1073 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1072 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1102
              #items: array:2 [
                0 => App\Models\Branch {#1110
                  #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 [
                    "id" => 1129374
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Взаимное расположение прямых"
                    "field_branch_order" => "3"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1111 …2}
                    "field_page_start" => "79"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1112 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1113 …2}
                  ]
                  #original: array:24 [
                    "id" => 1129374
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Взаимное расположение прямых"
                    "field_branch_order" => "3"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1111 …2}
                    "field_page_start" => "79"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1112 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1113 …2}
                  ]
                  #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\Branch {#1114
                  #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 [
                    "id" => 1129375
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Перпендикуляр и наклонная"
                    "field_branch_order" => "14"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118 …2}
                    "field_page_start" => "79"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1117 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1116 …2}
                  ]
                  #original: array:24 [
                    "id" => 1129375
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Перпендикуляр и наклонная"
                    "field_branch_order" => "14"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118 …2}
                    "field_page_start" => "79"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1117 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1116 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1099
              #items: array:3 [
                0 => App\Models\Element {#1092
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 1320115
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1091 …2}
                    "task" => array:2 [ …2]
                    "text" => "<p>Самостоятельно объясните, почему через точку, принадлежащую прямой, можно провести единственную прямую, перпендикулярную данной.</p>"
                    "img" => array:1 [ …1]
                  ]
                  #original: array:7 [
                    "id" => 1320115
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                     …4
                  ]
                  #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 {#1090
                  #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 {#1084
                  #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" => "1129698"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129696"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1095
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114397"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129697
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "80"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/samost-14"
            "field_display_title" => "Задания"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1059}
            "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 {#1060}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1070}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1102}
            "content" => Illuminate\Database\Eloquent\Collection {#1099}
            "next" => array:2 [
              "refs" => "1129698"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129696"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1095}
            "page" => array:2 [
              "refs" => "1114397"
              "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 {#1062
          #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" => 1129698
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "80"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-14"
            "field_display_title" => "Вопросы"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1107
              #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 {#1096
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1094
              #items: array:1 [
                0 => App\Models\Branch {#1110}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1098
              #items: array:2 [
                0 => App\Models\Branch {#1110}
                1 => App\Models\Branch {#1114}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1064
              #items: array:3 [
                0 => App\Models\Element {#1103
                  #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 {#1104
                  #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 {#1120
                  #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" => "1129699"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129697"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1100
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1114397"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1129698
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "80"
            "field_page_end" => null
            "field_url" => "/7-klass/geometrija/smirnova-uchebnik/vopr-14"
            "field_display_title" => "Вопросы"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1107}
            "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 {#1096}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1094}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1098}
            "content" => Illuminate\Database\Eloquent\Collection {#1064}
            "next" => array:2 [
              "refs" => "1129699"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1129697"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1100}
            "page" => array:2 [
              "refs" => "1114397"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:21 [
    "id" => 1114397
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "80"
    "field_url" => "/7-klass/geometrija/smirnova-uchebnik/page-80"
    "field_display_title" => "80"
    "field_folder" => "1"
    "field_image_name" => "80"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016}
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007}
    "content" => Illuminate\Database\Eloquent\Collection {#1047}
    "next" => array:2 [
      "refs" => "1114398"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1114396"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1012}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 7 класс Учебник, авторы: Смирнов Владимир Алексеевич, Туяков Есенкельды Алыбаевич, издательство Мектеп, Алматы, 2017, страница 80
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