Receiving Helpdesk

where do orthogonal lines meet

by Jackeline Reichert Published 3 years ago Updated 2 years ago

Orthogonal Lines

  • Orthogonal lines are parallel to the ground plane and move back from the picture plane.
  • Orthogonal lines set the varying heights or widths of a rectangular plane as it recedes from view.
  • Orthogonal lines always appear to meet at a vanishing point on the eye level.

vanishing point

Full Answer

Where do two parallel lines meet?

  • If the straight lines are parallel, then they never intersect at any point.
  • If the straight lines are coincident (which means that they occur wholly in exactly the same place. ...
  • if the straight lines are neither parallel nor coincident, then they intersect at one point only.

What is location where two lines cross or intersect?

Things to try

  • In the above diagram, press 'reset'.
  • Drag any of the points A,B,C,D around and note the location of the intersection of the lines.
  • Drag a point to get two parallel lines and note that they have no intersection.
  • Click 'hide details' and 'show coordinates'. Move the points to any new location where the intersection is still visible. ...

Where do perpendicular lines meet?

Perpendicular lines are lines that meet at a right angle (90°), like a corner of a room or the edge of a book. To show that two lines are perpendicular, you draw the right-angle sign in the ...

Where did the two railroad lines meet?

5 Facts About the Transcontinental Railroad

  1. By mid-1862, the United States was entrenched in a bloody Civil War that strained the resources of the young country.
  2. Pictures of the American West/National Archives and Record Administration/Alfred A. Hart. ...
  3. With most of the country's able-bodied men on the battlefield, workers for the Transcontinental Railroad were initially in short supply.

More items...

Where do the orthogonal lines go?

In a linear perspective drawing, orthogonal lines are the diagonal lines that can be drawn along receding parallel lines (or rows of objects) to the vanishing point. These imaginary lines help the artist maintain perspective in their drawings and paintings to ensure a realistic view of the object.Feb 16, 2019

Do orthogonal lines intersect?

Two lines are called orthogonal if they are parallel to lines that meet at a right angle. Thus orthogonal lines could be skew (i.e., they need not meet), whereas perpendicular lines always intersect.Dec 19, 2015

Which are orthogonal lines?

Orthogonal lines and mathematics In Euclidean geometry, orthogonal objects are related by their perpendicularity to one another. Lines or line segments that are perpendicular at their point of intersection are said be related orthogonally. Similarly, two vectors are considered orthogonal if they form a 90-degree angle.

What are the convergence or orthogonal lines?

Also called orthogonal lines, convergence lines are when sets of parallel lines appear to get closer together as they recede into the distance and meet at a single vanishing point. All parallel lines will eventually converge at a vanishing point.Jan 20, 2016

Do orthogonal lines meet?

Orthogonal lines are perpendicular to each other; they meet at right angles.Mar 20, 2020

Do perpendicular lines have to meet?

Properties of perpendicular lines These lines always intersect at right angles. If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.

How do you draw orthogonal lines?

0:251:13One Point Perspective 4 Orthogonal Lines - YouTubeYouTubeStart of suggested clipEnd of suggested clipOne two three corners up to my vanishing point with very special lines that are called orthogonalMoreOne two three corners up to my vanishing point with very special lines that are called orthogonal lines anytime we draw a line that connects to the vanishing point it is called an orthogonal.

What does it means by orthogonal?

lying at right anglesDefinition of orthogonal 1a : intersecting or lying at right angles In orthogonal cutting, the cutting edge is perpendicular to the direction of tool travel. b : having perpendicular slopes or tangents at the point of intersection orthogonal curves.

Where does the horizon line show?

The terms “horizon line” and “eye level” are often used synonymously. Horizon line/eye level refer to a physical/visual boundary where sky separates from land or water. It is the actual height of the viewer's eyes when looking at an object, interior scene, or an exterior scene.

What are orthogonal lines quizlet?

What are orthogonal lines? Imaginary lines that lead to the vanishing point.

What are orthogonal lines a any lines on the floor of a painting?

Orthogonal lines are imaginary lines which are parallel to the ground plane and the line of sight of the viewer. The are usually formed by the straight edges of objects. Orthogonal move back from the picture plane. Orthogonal lines always appear to intersect at a vanishing point on the horizon line, or eye level.

Where is the vanishing point found?

the horizon lineNote the point where most lines converge. This is your vanishing point, which is located on the horizon line. When an object has only one vanishing point, its perspective is referred to as one-point perspective.Nov 12, 2021

Why are orthogonal lines important?

In its most basic form, orthogonal lines are used to create the look of three-dimensional objects in a two-dimensional medium.

What is the line on each side of the road?

The lines on each side of the road converge to a vanishing point on the horizon. Along with the center line painted on the road, these are all orthogonal lines—they run parallel to each other and give you a sense of perspective. Note: The frequently used term "orthagonal" is, in fact, a misspelling of "orthogonal" and is not a word.

What does "at right angles" mean?

It means "at right angles" and is related to orthogonal projection, another method of drawing three-dimensional objects. The term is applied to the vanishing lines used in perspective drawing as these are: At right angles to the front plane when observing an object in one-point perspective. At right angles to each other in two-point perspective.

What is the right angle to the front plane?

At right angles to the front plane when observing an object in one-point perspective. At right angles to each other in two-point perspective. To understand these lines, imagine yourself standing in the middle of a road. The lines on each side of the road converge to a vanishing point on the horizon. Along with the center line painted on the road, ...

Do orthogonal lines meet?

When doing this, notice how the orthogonal lines do not meet until they touch the vanishing point. They remain parallel to each other even though they converge to a single point. This, in turn, maintains a correct perspective in the picture.

image
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.20PHP Version2.06sRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[11:24:05] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[11:24:05] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[11:24:05] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[11:24:05] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[11:24:05] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[11:24:05] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[11:24:05] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[11:24:05] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[11:24:05] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (13.93ms)
  • Application (2.05s)
  • 1 x Application (99.3%)
    2.05s
    1 x Booting (0.68%)
    13.93ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed2.02s
    • select * from `posts` where `published_at` <= '2025-05-21 11:24:05' and `slug` = 'where-do-orthogonal-lines-meet' and `posts`.`deleted_at` is null limit 1
      2.84ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-05-21 11:24:05
      • 1. where-do-orthogonal-lines-meet
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 134028 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      11.38msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 134028
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      1.11ms/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      980μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      1.4ms/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      2s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 10894 limit 1
      1.39msview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 10894
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        j5wkeAMYIFi9sJS2DTLYjj8vT67LWB0en3qxcpeu
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/where-do-orthogonal-lines-meet" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /where-do-orthogonal-lines-meet
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:24 [ "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "18.226.4.246" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=1" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "cf-ray" => array:1 [ 0 => "9431d1324d44872f-ORD" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "18.226.4.246, 172.70.130.23" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:55 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/where-do-orthogonal-lines-meet" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/where-do-orthogonal-lines-meet" "REMOTE_PORT" => "53880" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "172.70.130.23" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "18.226.4.246" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_CF_RAY" => "9431d1324d44872f-ORD" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "18.226.4.246, 172.70.130.23" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1747806845.9063 "REQUEST_TIME" => 1747806845 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Wed, 21 May 2025 05:54:05 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjhoUkt5cjdrMkJqRzBvOUlXMnUxWUE9PSIsInZhbHVlIjoiODBXR1NCcE1selNKL2ZPMlpxT3drNVVrWUpGVWFJNFZMclFiUlNFTjRmRHA5cXdwcG96N1NvTXBCMlFWbWxFeUNza2tJYzRGVGd3VC9uSU8zZ2lmWWQxa1p2RnJvRDR5bU5oNndPRmlXejlodHgvZFBDUDdZRDZVT3FxUlR5QlEiLCJtYWMiOiI2MzdlMzFlZThkNWJhZjIzM2NmNGU3Y2E2Y2U0YmY5NTliNDE1NTMzY2QzN2E3YmQwZTZlNmE5OGJiZjdiY2MyIiwidGFnIjoiIn0%3D; expires=Wed, 21-May-2025 07:54:07 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IjhoUkt5cjdrMkJqRzBvOUlXMnUxWUE9PSIsInZhbHVlIjoiODBXR1NCcE1selNKL2ZPMlpxT3drNVVrWUpGVWFJNFZMclFiUlNFTjRmRHA5cXdwcG96N1NvTXBCMlFWbWxFeUNza2tJY" 1 => "askhelpdesk_session=eyJpdiI6ImNCc3FMQk4yWkwxM3dqWEU4akNVZ3c9PSIsInZhbHVlIjoiSkdBd2U4UWRoTkF5NngzYVFjWjRBMGI0R2NQcVFwZmJNa0dTa0NBMFh4YlhrN3hxUmE3MHhkZjZMQ3FXM1RlNnZHZnpmQlhhdVFlOW9wVmQwcGlVWTEvZnFLYlc5MERLcVNBMXdHR2lDdW05SHFiSGVOd0lYNU5BN3pSdFQwSEIiLCJtYWMiOiI4MDQ0OTE4ODhiYmM2MzRjODM4YmMwZmQyMDhiMDBkYTBhYWE0YjRiNTZiYmJiOGUxYWYxMmE5NTY4MjAzMDM1IiwidGFnIjoiIn0%3D; expires=Wed, 21-May-2025 07:54:07 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6ImNCc3FMQk4yWkwxM3dqWEU4akNVZ3c9PSIsInZhbHVlIjoiSkdBd2U4UWRoTkF5NngzYVFjWjRBMGI0R2NQcVFwZmJNa0dTa0NBMFh4YlhrN3hxUmE3MHhkZjZMQ3FXM1Rl" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjhoUkt5cjdrMkJqRzBvOUlXMnUxWUE9PSIsInZhbHVlIjoiODBXR1NCcE1selNKL2ZPMlpxT3drNVVrWUpGVWFJNFZMclFiUlNFTjRmRHA5cXdwcG96N1NvTXBCMlFWbWxFeUNza2tJYzRGVGd3VC9uSU8zZ2lmWWQxa1p2RnJvRDR5bU5oNndPRmlXejlodHgvZFBDUDdZRDZVT3FxUlR5QlEiLCJtYWMiOiI2MzdlMzFlZThkNWJhZjIzM2NmNGU3Y2E2Y2U0YmY5NTliNDE1NTMzY2QzN2E3YmQwZTZlNmE5OGJiZjdiY2MyIiwidGFnIjoiIn0%3D; expires=Wed, 21-May-2025 07:54:07 GMT; path=/XSRF-TOKEN=eyJpdiI6IjhoUkt5cjdrMkJqRzBvOUlXMnUxWUE9PSIsInZhbHVlIjoiODBXR1NCcE1selNKL2ZPMlpxT3drNVVrWUpGVWFJNFZMclFiUlNFTjRmRHA5cXdwcG96N1NvTXBCMlFWbWxFeUNza2tJY" 1 => "askhelpdesk_session=eyJpdiI6ImNCc3FMQk4yWkwxM3dqWEU4akNVZ3c9PSIsInZhbHVlIjoiSkdBd2U4UWRoTkF5NngzYVFjWjRBMGI0R2NQcVFwZmJNa0dTa0NBMFh4YlhrN3hxUmE3MHhkZjZMQ3FXM1RlNnZHZnpmQlhhdVFlOW9wVmQwcGlVWTEvZnFLYlc5MERLcVNBMXdHR2lDdW05SHFiSGVOd0lYNU5BN3pSdFQwSEIiLCJtYWMiOiI4MDQ0OTE4ODhiYmM2MzRjODM4YmMwZmQyMDhiMDBkYTBhYWE0YjRiNTZiYmJiOGUxYWYxMmE5NTY4MjAzMDM1IiwidGFnIjoiIn0%3D; expires=Wed, 21-May-2025 07:54:07 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6ImNCc3FMQk4yWkwxM3dqWEU4akNVZ3c9PSIsInZhbHVlIjoiSkdBd2U4UWRoTkF5NngzYVFjWjRBMGI0R2NQcVFwZmJNa0dTa0NBMFh4YlhrN3hxUmE3MHhkZjZMQ3FXM1Rl" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "j5wkeAMYIFi9sJS2DTLYjj8vT67LWB0en3qxcpeu" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/where-do-orthogonal-lines-meet" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]