Deprecated: Methods with the same name as their class will not be constructors in a future version of PHP; plgContentJComments has a deprecated constructor in /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php on line 25 Call Stack: 0.0001 362584 1. {main}() /var/www/astarmathsandphysics/index.php:0 0.0503 1212024 2. Joomla\CMS\Application\SiteApplication->execute() /var/www/astarmathsandphysics/index.php:49 0.0503 1212024 3. Joomla\CMS\Application\SiteApplication->doExecute() /var/www/astarmathsandphysics/libraries/src/Application/CMSApplication.php:267 0.1496 4193144 4. Joomla\CMS\Application\SiteApplication->dispatch() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:233 0.1509 4220824 5. Joomla\CMS\Component\ComponentHelper::renderComponent() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:194 0.1517 4238536 6. Joomla\CMS\Component\ComponentHelper::executeComponent() /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:356 0.1519 4269056 7. require_once('/var/www/astarmathsandphysics/components/com_content/content.php') /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:381 0.1529 4291776 8. ContentController->execute() /var/www/astarmathsandphysics/components/com_content/content.php:42 0.1530 4291776 9. ContentController->display() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:710 0.2004 4963904 10. ContentController->display() /var/www/astarmathsandphysics/components/com_content/controller.php:113 0.2040 5156056 11. Joomla\CMS\Cache\Controller\ViewController->get() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:663 0.2046 5176984 12. ContentViewArticle->display() /var/www/astarmathsandphysics/libraries/src/Cache/Controller/ViewController.php:102 0.2150 5372488 13. Joomla\CMS\Plugin\PluginHelper::importPlugin() /var/www/astarmathsandphysics/components/com_content/views/article/view.html.php:189 0.2150 5372744 14. Joomla\CMS\Plugin\PluginHelper::import() /var/www/astarmathsandphysics/libraries/src/Plugin/PluginHelper.php:182

Conic Sections - Circles, Ellipses, Parabolae and Hyperbolae

 

Circles, ellipses and hyperbolae have similar equations: All these curves are obtained from the intersection of a plane with a cone as shown above.

for a circle of ellipses centred at the origin, withfor a circle andfor an ellipse andfor a circle or ellipse centred at

For a hyperbola,centred at the origin or for a hyperbola centred atat with again

are all equations of parabolae.