{"id":282,"date":"2021-08-13T13:22:27","date_gmt":"2021-08-13T17:22:27","guid":{"rendered":"https:\/\/opentextbc.ca\/patterndevelopment\/chapter\/right-cone\/"},"modified":"2023-01-24T13:16:26","modified_gmt":"2023-01-24T18:16:26","slug":"right-cone","status":"web-only","type":"chapter","link":"https:\/\/opentextbc.ca\/patterndevelopment\/chapter\/right-cone\/","title":{"raw":"Right Cone","rendered":"Right Cone"},"content":{"raw":"<ol>\r\n \t<li>Draw an <strong>[pb_glossary id=\"499\"]elevation view[\/pb_glossary]<\/strong>.<strong>\r\n<img class=\"wp-image-786 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-1_1-14.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/strong><\/li>\r\n \t<li><strong>[pb_glossary id=\"478\"]Profile[\/pb_glossary]<\/strong> the base of the elevation view and divide it into six equal parts (see <a class=\"internal\" href=\"\/geoconst\/chapter\/divide-a-circle-into-12-equal-parts\/\">Divide a Circle Into 12 Equal Parts<\/a>).<span style=\"color: #ff0000;\"><strong><img class=\"wp-image-787 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-2_1-13.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/strong><\/span><\/li>\r\n \t<li>Label the profile from 1 to 7 and project the divisions vertically into the base of the cone.<img class=\"wp-image-788 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-3_1-10.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\r\n \t<li>Project the <strong>[pb_glossary id=\"507\"]element lines[\/pb_glossary]<\/strong> from the base to the <strong>[pb_glossary id=\"480\"]apex[\/pb_glossary]<\/strong> of the cone.<img class=\"wp-image-789 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-4_1-11.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\r\n \t<li>Locate a radius point where you want to develop the pattern.\u00a0<strong>Unlike Parallel line, it doesn\u2019t matter where this is. There is no projection into the pattern like we used before. But keep in mind that you may require enough room to fit a diameter equal to two slant heights.<img class=\"wp-image-790 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-5_1-10.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/strong><\/li>\r\n \t<li>With your compass, take the <strong>[pb_glossary id=\"481\"]slant height[\/pb_glossary]<\/strong> from the elevation view and swing an arc <strong>([pb_glossary id=\"482\"]stretch-out arc[\/pb_glossary])<\/strong>. <strong>Because we don\u2019t know how long the arc needs to be yet, we use best judgement. We do know that it will be equal to the base circumference. The shallower the cone is, the larger the stretch-out angle will be. A very steep cone will be a much smaller angle<img class=\"wp-image-791 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-6_1-6.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/strong><\/li>\r\n \t<li>Establish a starting point for the pattern and draw a line back to the radius point. The starting point can be anywhere along the arc<img class=\"wp-image-792 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-7_1-6.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/li>\r\n \t<li>Set your compass to a step-off. From your starting point, swing it 12 times along the stretch-out arc.<strong><img class=\"wp-image-794 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-8_1-4.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/strong><\/li>\r\n \t<li>Connect the last point back to the radius point to complete the pattern.<img class=\"wp-image-795 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-9_1-1.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/li>\r\n<\/ol>\r\nhttps:\/\/media.bccampus.ca\/id\/0_etp3c1tk?width=608&amp;height=402&amp;playerId=23449753","rendered":"<ol>\n<li>Draw an <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_282_499\">elevation view<\/a><\/strong>.<strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-786 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-1_1-14.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/strong><\/li>\n<li><strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_282_478\">Profile<\/a><\/strong> the base of the elevation view and divide it into six equal parts (see <a class=\"internal\" href=\"\/geoconst\/chapter\/divide-a-circle-into-12-equal-parts\/\">Divide a Circle Into 12 Equal Parts<\/a>).<span style=\"color: #ff0000;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-787 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-2_1-13.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/strong><\/span><\/li>\n<li>Label the profile from 1 to 7 and project the divisions vertically into the base of the cone.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-788 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-3_1-10.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\n<li>Project the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_282_507\">element lines<\/a><\/strong> from the base to the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_282_480\">apex<\/a><\/strong> of the cone.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-789 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-4_1-11.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\n<li>Locate a radius point where you want to develop the pattern.\u00a0<strong>Unlike Parallel line, it doesn\u2019t matter where this is. There is no projection into the pattern like we used before. But keep in mind that you may require enough room to fit a diameter equal to two slant heights.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-790 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-5_1-10.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/strong><\/li>\n<li>With your compass, take the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_282_481\">slant height<\/a><\/strong> from the elevation view and swing an arc <strong>(<a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_282_482\">stretch-out arc<\/a>)<\/strong>. <strong>Because we don\u2019t know how long the arc needs to be yet, we use best judgement. We do know that it will be equal to the base circumference. The shallower the cone is, the larger the stretch-out angle will be. A very steep cone will be a much smaller angle<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-791 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-6_1-6.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/strong><\/li>\n<li>Establish a starting point for the pattern and draw a line back to the radius point. The starting point can be anywhere along the arc<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-792 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-7_1-6.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/li>\n<li>Set your compass to a step-off. From your starting point, swing it 12 times along the stretch-out arc.<strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-794 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-8_1-4.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/strong><\/li>\n<li>Connect the last point back to the radius point to complete the pattern.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-795 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-9_1-1.gif\" alt=\"\" width=\"1000\" height=\"600\" \/><\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"kaltura_player\" title=\"Radial Line - Right Cone\" src=\"https:\/\/api.ca.kaltura.com\/p\/148\/sp\/14800\/embedIframeJs\/uiconf_id\/23449753\/partner_id\/148?iframeembed=true&#38;playerId=kaltura_player&#38;entry_id=0_etp3c1tk&#38;flashvars[leadWithHTML5]=true&#38;flashvars[streamerType]=auto&#38;flashvars[localizationCode]=en&#38;flashvars[sideBarContainer.plugin]=true&#38;flashvars[sideBarContainer.position]=left&#38;flashvars[sideBarContainer.clickToClose]=true&#38;flashvars[chapters.plugin]=true&#38;flashvars[chapters.layout]=vertical&#38;flashvars[chapters.thumbnailRotator]=false&#38;flashvars[streamSelector.plugin]=true&#38;flashvars[EmbedPlayer.SpinnerTarget]=videoHolder&#38;flashvars[dualScreen.plugin]=true&#38;flashvars[Kaltura.addCrossoriginToIframe]=true&#38;wid=0_ovtupc87\" width=\"608\" height=\"402\" allowfullscreen=\"allowfullscreen\" sandbox=\"allow-downloads allow-forms allow-same-origin allow-scripts allow-top-navigation allow-pointer-lock allow-popups allow-modals allow-orientation-lock allow-popups-to-escape-sandbox allow-presentation allow-top-navigation-by-user-activation\" frameborder=\"0\"><\/iframe><\/p>\n<div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_282_499\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_282_499\"><div tabindex=\"-1\"><p>looking at the front or side of something, to have elevation (height), 2D<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_282_478\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_282_478\"><div tabindex=\"-1\"><p>a half of a plan view, drawn on the outside of an object<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_282_507\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_282_507\"><div tabindex=\"-1\"><p>a line representing an edge or bend<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_282_480\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_282_480\"><div tabindex=\"-1\"><p>the intersection point of a cone, as seen in the elevation view<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_282_481\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_282_481\"><div tabindex=\"-1\"><p>the hypotenuse of a cone, outside edge. The slant height is always a true length in the elevation view<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_282_482\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_282_482\"><div tabindex=\"-1\"><p>the angle or arc which encompasses a radial line pattern<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><\/div>","protected":false},"author":90,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-282","chapter","type-chapter","status-web-only","hentry"],"part":272,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/282","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/282\/revisions"}],"predecessor-version":[{"id":617,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/282\/revisions\/617"}],"part":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/parts\/272"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/282\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/media?parent=282"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapter-type?post=282"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/contributor?post=282"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/license?post=282"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}