Страница 82 - гдз по физике 8-11 класс учебник, задачник Гельфгат, Генденштейн

Физика, 8-11 класс Учебник, задачник, авторы: Гельфгат Илья Маркович, Генденштейн Лев Элевич, Кирик Леонид Анатольевич, издательство Илекса, Москва, 2005

Авторы: Гельфгат И. М., Генденштейн Л. Э., Кирик Л. А.

Тип: Учебник, задачник

Издательство: Илекса

Год издания: 2005 - 2026

Цвет обложки: синий мужчина в красном, летит на черном шаре

ISBN: 978-5-89237-332-6

Cтраница 82

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" => 1340433
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "82"
    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/page-82"
    "field_display_title" => "82"
    "field_folder" => "1"
    "field_image_name" => "82"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1042
      #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" => 5401
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1009
              #items: array:1 [
                0 => App\Models\Term {#1007
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  +preventsLazyLoading: false
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                  #attributes: array:10 [ …10]
                  #original: array:10 [ …10]
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                  #hidden: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1010
              #items: array:4 [
                0 => App\Models\Term {#1011
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Term {#1012
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                }
                2 => App\Models\Term {#1013
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                  #table: "terms"
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                  #keyType: "int"
                  +incrementing: false
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                  +timestamps: true
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                }
                3 => App\Models\Term {#1014
                  #connection: "mysql"
                  #table: "terms"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1015
              #items: array:1 [
                0 => App\Models\Term {#1016
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1017
              #items: array:3 [
                0 => App\Models\Term {#1018
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  #escapeWhenCastingToString: false
                  #attributes: array:12 [ …12]
                  #original: array:12 [ …12]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Term {#1019
                  #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 [ …12]
                  #original: array:12 [ …12]
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                  +timestamps: true
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                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Term {#1020
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
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                  #attributes: array:12 [ …12]
                  #original: array:12 [ …12]
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                  #visible: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1021
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1022
              #items: array:1 [
                0 => App\Models\Term {#1023
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1024
              #items: array:1 [
                0 => App\Models\Term {#1025
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1026
              #items: array:1 [
                0 => App\Models\Term {#1027
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  #hidden: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1028
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1029
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1030
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              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1031
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              #escapeWhenCastingToString: false
            }
            "field_publication_number" => "6"
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1032
              #items: array:1 [
                0 => App\Models\Term {#1033
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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              ]
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            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1034
              #items: []
              #escapeWhenCastingToString: false
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              ]
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                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:21 [ …21]
                  #original: array:21 [ …21]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "book_page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
                "name" => "82-1.jpg"
                "alt" => null
                "width" => "1617"
                "height" => 2498
                "path" => "/media/fizika_08/gelfgat-u/0-1/82-1.webp?ts=1756639113"
              ]
            ]
          ]
          #original: array:6 [
            "id" => 1518554
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1060}
            "book_page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
            "img" => array:1 [
              0 => array:5 [
                "name" => "82-1.jpg"
                "alt" => null
                "width" => "1617"
                "height" => 2498
                "path" => "/media/fizika_08/gelfgat-u/0-1/82-1.webp?ts=1756639113"
              ]
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "next" => Illuminate\Database\Eloquent\Collection {#4922
      #items: array:1 [
        0 => App\Models\BookPage {#4921
          #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" => 1340434
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "83"
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/page-83"
            "field_display_title" => "83"
            "field_folder" => "1"
            "field_image_name" => "83"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4933
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4932
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#4934
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#4987
              #items: array:1 [
                0 => App\Models\Element {#4989
                  #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" => "1340435"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4925
              #items: array:6 [
                0 => App\Models\Task {#5007
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#5013
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#5018
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#5032
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#5046
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#5060
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1340434
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "83"
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/page-83"
            "field_display_title" => "83"
            "field_folder" => "1"
            "field_image_name" => "83"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4933}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4932}
            "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 {#4934}
            "content" => Illuminate\Database\Eloquent\Collection {#4987}
            "next" => array:2 [
              "refs" => "1340435"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4925}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "previous" => Illuminate\Database\Eloquent\Collection {#4917
      #items: array:1 [
        0 => App\Models\BookPage {#4916
          #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" => 1340432
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/page-81"
            "field_display_title" => "81"
            "field_folder" => "1"
            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4918
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4919
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "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 {#4920
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#4930
              #items: array:1 [
                0 => App\Models\Element {#4929
                  #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" => "1340433"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1340431"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4923
              #items: array:4 [
                0 => App\Models\Task {#4937
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#4943
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#4948
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#4962
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1340432
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/page-81"
            "field_display_title" => "81"
            "field_folder" => "1"
            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#4918}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#4919}
            "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 {#4920}
            "content" => Illuminate\Database\Eloquent\Collection {#4930}
            "next" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1340431"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#4923}
          ]
          #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 {#1044
      #items: array:8 [
        0 => App\Models\Task {#1068
          #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" => 1288466
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-15"
            "field_display_title" => "13.15"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1072
              #items: array:1 [
                0 => App\Models\Term {#1069
                  #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 {#1071
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1081
              #items: array:1 [
                0 => App\Models\Branch {#1080
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1116
              #items: array:3 [
                0 => App\Models\Branch {#1126
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1130
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Branch {#1134
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1114
              #items: array:3 [
                0 => App\Models\Element {#1106
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array: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 {#1105
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array: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 {#1099
                  #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" => "1288467"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288465"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1110
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288466
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-15"
            "field_display_title" => "13.15"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1072}
            "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 {#1071}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1081}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1116}
            "content" => Illuminate\Database\Eloquent\Collection {#1114}
            "next" => array:2 [
              "refs" => "1288467"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288465"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1110}
            "page" => array:2 [
              "refs" => "1340433"
              "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 {#1073
          #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" => 1288467
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-16"
            "field_display_title" => "13.16"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1123
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1111
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1109
              #items: array:1 [
                0 => App\Models\Branch {#1126}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1112
              #items: array:3 [
                0 => App\Models\Branch {#1126}
                1 => App\Models\Branch {#1130}
                2 => App\Models\Branch {#1134}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1077
              #items: array:3 [
                0 => App\Models\Element {#1070
                  #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: []
                   …8
                }
                1 => App\Models\Element {#1115 …30}
                2 => App\Models\Element {#1124 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1288468"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288466"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1085
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288467
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-16"
            "field_display_title" => "13.16"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1123}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1111}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1109}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1112}
            "content" => Illuminate\Database\Eloquent\Collection {#1077}
            "next" => array:2 [
              "refs" => "1288468"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288466"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1085}
            "page" => array:2 [
              "refs" => "1340433"
              "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 {#1113
          #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" => 1288468
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-17"
            "field_display_title" => "13.17"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1074
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1086
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1075
              #items: array:1 [
                0 => App\Models\Branch {#1126}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1088
              #items: array:3 [
                0 => App\Models\Branch {#1126}
                1 => App\Models\Branch {#1130}
                2 => App\Models\Branch {#1134}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1090
              #items: array:3 [
                0 => App\Models\Element {#1140 …30}
                1 => App\Models\Element {#1150 …30}
                2 => App\Models\Element {#1152 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1288469"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288467"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1141
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288468
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-17"
            "field_display_title" => "13.17"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1074}
            "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 {#1086}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1075}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1088}
            "content" => Illuminate\Database\Eloquent\Collection {#1090}
            "next" => array:2 [
              "refs" => "1288469"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288467"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1141}
            "page" => array:2 [
              "refs" => "1340433"
              "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 => "*"
          ]
        }
        3 => App\Models\Task {#1087
          #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" => 1288469
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-18"
            "field_display_title" => "13.18"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1089
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1137
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1139
              #items: array:1 [
                0 => App\Models\Branch {#1126}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1119
              #items: array:3 [
                0 => App\Models\Branch {#1126}
                1 => App\Models\Branch {#1130}
                2 => App\Models\Branch {#1134}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1121
              #items: array:3 [
                0 => App\Models\Element {#1162 …30}
                1 => App\Models\Element {#1164 …30}
                2 => App\Models\Element {#1166 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1288470"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288468"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1159
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288469
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-18"
            "field_display_title" => "13.18"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1089}
            "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 {#1137}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1139}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1119}
            "content" => Illuminate\Database\Eloquent\Collection {#1121}
            "next" => array:2 [
              "refs" => "1288470"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288468"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1159}
            "page" => array:2 [
              "refs" => "1340433"
              "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 => "*"
          ]
        }
        4 => App\Models\Task {#1138
          #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" => 1288470
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-19"
            "field_display_title" => "13.19"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1118
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1158
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1160
              #items: array:1 [
                0 => App\Models\Branch {#1126}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1156
              #items: array:3 [
                0 => App\Models\Branch {#1126}
                1 => App\Models\Branch {#1130}
                2 => App\Models\Branch {#1134}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1155
              #items: array:3 [
                0 => App\Models\Element {#1176 …30}
                1 => App\Models\Element {#1178 …30}
                2 => App\Models\Element {#1180 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1288471"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288469"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1173
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288470
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-19"
            "field_display_title" => "13.19"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1118}
            "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 {#1158}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1160}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1156}
            "content" => Illuminate\Database\Eloquent\Collection {#1155}
            "next" => array:2 [
              "refs" => "1288471"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288469"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1173}
            "page" => array:2 [
              "refs" => "1340433"
              "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 => "*"
          ]
        }
        5 => App\Models\Task {#1157
          #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" => 1288471
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-20"
            "field_display_title" => "13.20"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1154
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1172
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1174
              #items: array:1 [
                0 => App\Models\Branch {#1126}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1170
              #items: array:3 [
                0 => App\Models\Branch {#1126}
                1 => App\Models\Branch {#1130}
                2 => App\Models\Branch {#1134}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1169
              #items: array:3 [
                0 => App\Models\Element {#1190 …30}
                1 => App\Models\Element {#1192 …30}
                2 => App\Models\Element {#1194 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1288472"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288470"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1187
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288471
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-20"
            "field_display_title" => "13.20"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1154}
            "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 {#1172}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1174}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1170}
            "content" => Illuminate\Database\Eloquent\Collection {#1169}
            "next" => array:2 [
              "refs" => "1288472"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288470"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1187}
            "page" => array:2 [
              "refs" => "1340433"
              "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 => "*"
          ]
        }
        6 => App\Models\Task {#1171
          #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" => 1288472
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-21"
            "field_display_title" => "13.21"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1168
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1186
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1188
              #items: array:1 [
                0 => App\Models\Branch {#1126}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184
              #items: array:3 [
                0 => App\Models\Branch {#1126}
                1 => App\Models\Branch {#1130}
                2 => App\Models\Branch {#1134}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1183
              #items: array:3 [
                0 => App\Models\Element {#1204 …30}
                1 => App\Models\Element {#1206 …30}
                2 => App\Models\Element {#1208 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1288473"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288471"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1201
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288472
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-21"
            "field_display_title" => "13.21"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1168}
            "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 {#1186}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1188}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1184}
            "content" => Illuminate\Database\Eloquent\Collection {#1183}
            "next" => array:2 [
              "refs" => "1288473"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288471"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1201}
            "page" => array:2 [
              "refs" => "1340433"
              "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 => "*"
          ]
        }
        7 => App\Models\Task {#1185
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1288473
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-22"
            "field_display_title" => "13.22"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1182
              #items: array:1 [
                0 => App\Models\Term {#1069}
              ]
              #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 {#1200
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202
              #items: array:1 [
                0 => App\Models\Branch {#1126}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1198
              #items: array:3 [
                0 => App\Models\Branch {#1126}
                1 => App\Models\Branch {#1130}
                2 => App\Models\Branch {#1134}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1197
              #items: array:3 [
                0 => App\Models\Element {#1218 …30}
                1 => App\Models\Element {#1220 …30}
                2 => App\Models\Element {#1222 …30}
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1288474"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288472"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1215
              #items: array:1 [
                0 => App\Models\Book {#1006}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1340433"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1288473
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_page_end" => null
            "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/13-22"
            "field_display_title" => "13.22"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1182}
            "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 {#1200}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1198}
            "content" => Illuminate\Database\Eloquent\Collection {#1197}
            "next" => array:2 [
              "refs" => "1288474"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1288472"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1215}
            "page" => array:2 [
              "refs" => "1340433"
              "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" => 1340433
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "82"
    "field_url" => "/8-klass/fizika/ileksa-gelfgat-uchebnik/page-82"
    "field_display_title" => "82"
    "field_folder" => "1"
    "field_image_name" => "82"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1042}
    "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 {#1040}
    "content" => Illuminate\Database\Eloquent\Collection {#1051}
    "next" => array:2 [
      "refs" => "1340434"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1340432"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1044}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Физика, 8-11 класс Учебник, задачник, авторы: Гельфгат Илья Маркович, Генденштейн Лев Элевич, Кирик Леонид Анатольевич, издательство Илекса, Москва, 2005, страница 82
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