Страница 15 - гдз по геометрии 11 класс учебник Солтан, Солтан

Геометрия, 11 класс Учебник, авторы: Солтан Г Н, Солтан Алла Евгеньевна, Жумадилова Аманбала Жумадиловна, издательство Кокшетау, Алматы, 2020

Авторы: Солтан Г. Н., Солтан А. Е., Жумадилова А. Ж.

Тип: Учебник

Издательство: Кокшетау

Год издания: 2020 - 2026

ISBN: 978-601-317-528-7

Рекомендовано Министерством образования и науки Республики Казахстан

Cтраница 15

App\Models\BookPage {#1003 // resources/views/models/book_page/default.blade.php
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                          #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 {#3580
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3590
                      #items: array:1 [
                        0 => App\Models\Branch {#3589
                          #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: []
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                          #relations: []
                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3582
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#3586
                      #items: array:3 [
                        0 => App\Models\Element {#3599
                          #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 {#3601
                          #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 {#3608
                          #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" => "1144209"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1144207"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#3596
                      #items: array:1 [
                        0 => App\Models\Book {#1006}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1116644"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1144208
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "14"
                    "field_page_end" => null
                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-13"
                    "field_display_title" => "13"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3581}
                    "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 {#3580}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3590}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3582}
                    "content" => Illuminate\Database\Eloquent\Collection {#3586}
                    "next" => array:2 [
                      "refs" => "1144209"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1144207"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#3596}
                    "page" => array:2 [
                      "refs" => "1116644"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#3579
                  #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" => 1144209
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "14"
                    "field_page_end" => null
                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-14"
                    "field_display_title" => "14"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3583
                      #items: array:1 [
                        0 => App\Models\Term {#3578}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "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 {#3595
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3597
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3585
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#3587
                      #items: array:3 [
                        0 => App\Models\Element {#3625
                          #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: []
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                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Element {#3627
                          #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 {#3629
                          #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" => "1144210"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1144208"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#3622
                      #items: array:1 [
                        0 => App\Models\Book {#1006}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1116644"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1144209
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "14"
                    "field_page_end" => null
                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-14"
                    "field_display_title" => "14"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3583}
                    "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 {#3595}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3597}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3585}
                    "content" => Illuminate\Database\Eloquent\Collection {#3587}
                    "next" => array:2 [
                      "refs" => "1144210"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1144208"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#3622}
                    "page" => array:2 [
                      "refs" => "1116644"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
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                  #dateFormat: null
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                  #touches: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#3594
                  #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" => 1144210
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "14"
                    "field_page_end" => null
                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-15"
                    "field_display_title" => "15"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3584
                      #items: array:1 [
                        0 => App\Models\Term {#3578}
                      ]
                      #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 {#3621
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3623
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3619
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#3617
                      #items: array:3 [
                        0 => App\Models\Element {#3639
                          #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 {#3641
                          #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 {#3643
                          #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" => "1144211"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1144209"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#3636
                      #items: array:1 [
                        0 => App\Models\Book {#1006}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1116644"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1144210
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "14"
                    "field_page_end" => null
                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-15"
                    "field_display_title" => "15"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3584}
                    "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 {#3621}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3623}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3619}
                    "content" => Illuminate\Database\Eloquent\Collection {#3617}
                    "next" => array:2 [
                      "refs" => "1144211"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1144209"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#3636}
                    "page" => array:2 [
                      "refs" => "1116644"
                      "type" => "book_page"
                    ]
                  ]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                3 => App\Models\Task {#3620
                  #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" => 1144211
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "14"
                    "field_page_end" => null
                    "field_url" => "/11-klass/geometrija/kokshetau-soltan-uchebnik/upr-16"
                    "field_display_title" => "16"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3616
                      #items: array:1 [
                        0 => App\Models\Term {#3578}
                      ]
                      #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 {#3635
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3637
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3633
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#3632
                      #items: array:3 [
                        0 => App\Models\Element {#3653
                          #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
                           …4
                        }
                        1 => App\Models\Element {#3655 …30}
                        2 => App\Models\Element {#3657 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1144212"
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                    ]
                    "previous" => array:2 [
                      "refs" => "1144210"
                      "type" => "task"
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                    "book" => Illuminate\Database\Eloquent\Collection {#3650
                      #items: array:1 [
                        0 => App\Models\Book {#1006}
                      ]
                      #escapeWhenCastingToString: false
                    }
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3616}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3633}
                    "content" => Illuminate\Database\Eloquent\Collection {#3632}
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                      "refs" => "1144212"
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                    ]
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                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#3634
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1144212
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_display_title" => "17"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3631
                      #items: array:1 [
                        0 => App\Models\Term {#3578}
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                    }
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#3649
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3651
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3647
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#3646
                      #items: array:3 [
                        0 => App\Models\Element {#3667 …30}
                        1 => App\Models\Element {#3669 …30}
                        2 => App\Models\Element {#3671 …30}
                      ]
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                    }
                    "next" => array:2 [
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                    "book" => Illuminate\Database\Eloquent\Collection {#3664
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                        0 => App\Models\Book {#1006}
                      ]
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                    }
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                    0 => "*"
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                }
                5 => App\Models\Task {#3648
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
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                  #withCount: []
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                    "id" => 1144213
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_display_title" => "18"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3645
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                        0 => App\Models\Term {#3578}
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                      #items: []
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                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3665
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3661
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#3660
                      #items: array:3 [
                        0 => App\Models\Element {#3681 …30}
                        1 => App\Models\Element {#3683 …30}
                        2 => App\Models\Element {#3685 …30}
                      ]
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                    }
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                    "book" => Illuminate\Database\Eloquent\Collection {#3678
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                        0 => App\Models\Book {#1006}
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                    "id" => 1144213
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                    "field_display_title" => "18"
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                      "refs" => "1116644"
                      "type" => "book_page"
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                    0 => "*"
                  ]
                }
                6 => App\Models\Task {#3662
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1144214
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#3659
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                        0 => App\Models\Term {#3578}
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                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#3679
                      #items: array:1 [
                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3675
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                        0 => App\Models\Branch {#3589}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#3674
                      #items: array:3 [
                        0 => App\Models\Element {#3695 …30}
                        1 => App\Models\Element {#3697 …30}
                        2 => App\Models\Element {#3699 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
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                      "refs" => "1144215"
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                    "book" => Illuminate\Database\Eloquent\Collection {#3692
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                    0 => "*"
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                7 => App\Models\Task {#3676
                  #connection: "mysql"
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                        0 => App\Models\Branch {#3589}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#3689
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                        0 => App\Models\Branch {#3589}
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                    "content" => Illuminate\Database\Eloquent\Collection {#3688
                      #items: array:3 [
                        0 => App\Models\Element {#3709 …30}
                        1 => App\Models\Element {#3711 …30}
                        2 => App\Models\Element {#3713 …30}
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    "tasks" => Illuminate\Database\Eloquent\Collection {#1038
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      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1038}
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Геометрия, 11 класс Учебник, авторы: Солтан Г Н, Солтан Алла Евгеньевна, Жумадилова Аманбала Жумадиловна, издательство Кокшетау, Алматы, 2020, страница 15
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