{"id":242,"date":"2019-06-26T23:09:08","date_gmt":"2019-06-26T23:09:08","guid":{"rendered":"http:\/\/funfacts.104.42.120.246.xip.io\/?page_id=242"},"modified":"2019-11-18T22:40:02","modified_gmt":"2019-11-18T22:40:02","slug":"conic-sections","status":"publish","type":"page","link":"https:\/\/math.hmc.edu\/funfacts\/conic-sections\/","title":{"rendered":"Conic sections"},"content":{"rendered":"\n<div class=\"wp-block-image\"><figure class=\"alignright\"><img loading=\"lazy\" decoding=\"async\" width=\"151\" height=\"256\" data-attachment-id=\"1385\" data-permalink=\"https:\/\/math.hmc.edu\/funfacts\/conic-sections\/10003-2-1\/\" data-orig-file=\"https:\/\/math.hmc.edu\/funfacts\/wp-content\/uploads\/sites\/4\/2019\/11\/10003.2.1.gif\" data-orig-size=\"151,256\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"10003.2.1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/math.hmc.edu\/funfacts\/wp-content\/uploads\/sites\/4\/2019\/11\/10003.2.1.gif\" src=\"https:\/\/math.hmc.edu\/funfacts\/wp-content\/uploads\/sites\/4\/2019\/11\/10003.2.1.gif\" alt=\"\" class=\"wp-image-1385\"\/><\/figure><\/div>\n\n\n\n<p>The conic sections are formed by taking flat slices of a solid double right cone. You can generate them with a lamp and shade!<\/p>\n\n\n\n<p>Take any lamp with a cylindrical shade and observe the light cone&#8217;s projection on the wall!&nbsp;<br>Put it next to the wall (hyperbola).&nbsp;<br>Tilt (parabola).&nbsp;<br>Tilt more (ellipse).&nbsp;<br>Align horizontal (circle).<\/p>\n\n\n\n<p><strong>Presentation&nbsp;Suggestions:<\/strong><br>Make shadow puppets just to be funny.<\/p>\n\n\n\n<p><strong>The\u00a0Math\u00a0Behind\u00a0the\u00a0Fact:<\/strong><br>See\u00a0Eccentricity of Conics.<\/p>\n\n\n\n<p><strong>How to Cite this Page:<\/strong><br>Su, Francis E., et al. &#8220;Conic sections.&#8221;&nbsp;<em>Math Fun Facts<\/em>. &lt;http:\/\/www.math.hmc.edu\/funfacts&gt;. <\/p>\n\n\n\n<p><strong>Fun Fact suggested by:<\/strong><br>Lesley Ward<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The conic sections are formed by taking flat slices of a solid double right cone. You can generate them with&#46;&#46;&#46;<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[3,8],"class_list":["post-242","page","type-page","status-publish","hentry","tag-easy","tag-geometry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/pages\/242","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/comments?post=242"}],"version-history":[{"count":3,"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/pages\/242\/revisions"}],"predecessor-version":[{"id":1387,"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/pages\/242\/revisions\/1387"}],"wp:attachment":[{"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/media?parent=242"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.hmc.edu\/funfacts\/wp-json\/wp\/v2\/tags?post=242"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}