{"id":343,"date":"2021-08-13T13:22:40","date_gmt":"2021-08-13T17:22:40","guid":{"rendered":"https:\/\/opentextbc.ca\/patterndevelopment\/chapter\/cone-on-a-pitch-miter\/"},"modified":"2023-01-24T13:18:54","modified_gmt":"2023-01-24T18:18:54","slug":"cone-on-a-pitch-miter","status":"web-only","type":"chapter","link":"https:\/\/opentextbc.ca\/patterndevelopment\/chapter\/cone-on-a-pitch-miter\/","title":{"raw":"Cone on a Pitch\/Miter","rendered":"Cone on a Pitch\/Miter"},"content":{"raw":"<ol>\r\n \t<li>Draw an <strong>[pb_glossary id=\"499\"]elevation view[\/pb_glossary]<\/strong>, including the <strong>[pb_glossary id=\"480\"]apex[\/pb_glossary] point<\/strong>.<strong><img class=\"wp-image-830 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-1_1-17.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.<img class=\"wp-image-831 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-2_1-16.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/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-832 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-3_1-13.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 apex of the cone.<img class=\"wp-image-834 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-4_1-14.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\r\n \t<li>Draw in the <strong>[pb_glossary id=\"485\"]miter[\/pb_glossary] line<\/strong>.<strong>\r\n<img class=\"wp-image-836 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-5_2-2.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/strong><\/li>\r\n \t<li>Where the element lines cross the miter line, project them horizontally to the outside edge. This now creates seven different slant heights.<b>\r\n<img class=\"wp-image-839 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-6-11.gif\" alt=\"\" width=\"1000\" height=\"350\" \/>\r\n<\/b><\/li>\r\n \t<li>Locate a\u00a0radius point where you want to develop the pattern.<img class=\"wp-image-840 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-7-6.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\r\n \t<li>With your compass, take the large\u00a0<strong>[pb_glossary id=\"481\"]slant height[\/pb_glossary]<\/strong> and swing an arc.<img class=\"wp-image-841 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-8-4.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\r\n \t<li>Set your compass to all of the remaining\u00a0slant heights\u00a0and swing them from the\u00a0radius point.<strong><img class=\"wp-image-842 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-9-2.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\r\n \t<li>Establish a starting point for the pattern and draw a line back to the\u00a0radius point.<strong><img class=\"wp-image-844 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-10-2.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\r\n \t<li>Set your compass to a step-off. From your starting point, swing it 12 times along the <strong>[pb_glossary id=\"482\"]stretch-out arc[\/pb_glossary]<\/strong>\u00a0and label each point to match the\u00a0elevation view.\u00a0<strong>Start your numbering where you want the seam, commonly put on the short side of the cone.<img class=\"wp-image-845 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-11-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\r\n \t<li>Connect the all of the points back to the\u00a0radius point.<strong><img class=\"wp-image-846 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-12-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\r\n \t<li>Following your numbering, circle each intersection point.\u00a0<strong>This will create the pattern of over 1, down 1.<img class=\"wp-image-847 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-13.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\r\n \t<li>Use a flexible curve to connect the points and create the pattern.<img class=\"wp-image-848 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-14-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\r\n<\/ol>\r\nhttps:\/\/media.bccampus.ca\/id\/0_9sxssw9e?width=608&amp;height=402&amp;playerId=23449753\r\n\r\n&nbsp;","rendered":"<ol>\n<li>Draw an <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_343_499\">elevation view<\/a><\/strong>, including the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_343_480\">apex<\/a> point<\/strong>.<strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-830 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-1_1-17.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/strong><\/li>\n<li><strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_343_478\">Profile<\/a><\/strong> the base of the elevation view and divide it into six equal parts.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-831 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-2_1-16.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/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-832 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-3_1-13.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\n<li>Project the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_343_507\">element lines<\/a><\/strong> from the base to the apex of the cone.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-834 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-4_1-14.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/li>\n<li>Draw in the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_343_485\">miter<\/a> line<\/strong>.<strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-836 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-5_2-2.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><\/strong><\/li>\n<li>Where the element lines cross the miter line, project them horizontally to the outside edge. This now creates seven different slant heights.<b><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-839 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-6-11.gif\" alt=\"\" width=\"1000\" height=\"350\" \/><br \/>\n<\/b><\/li>\n<li>Locate a\u00a0radius point where you want to develop the pattern.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-840 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-7-6.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<li>With your compass, take the large\u00a0<strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_343_481\">slant height<\/a><\/strong> and swing an arc.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-841 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-8-4.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<li>Set your compass to all of the remaining\u00a0slant heights\u00a0and swing them from the\u00a0radius point.<strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-842 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-9-2.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\n<li>Establish a starting point for the pattern and draw a line back to the\u00a0radius point.<strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-844 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-10-2.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\n<li>Set your compass to a step-off. From your starting point, swing it 12 times along the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_343_482\">stretch-out arc<\/a><\/strong>\u00a0and label each point to match the\u00a0elevation view.\u00a0<strong>Start your numbering where you want the seam, commonly put on the short side of the cone.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-845 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-11-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\n<li>Connect the all of the points back to the\u00a0radius point.<strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-846 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-12-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\n<li>Following your numbering, circle each intersection point.\u00a0<strong>This will create the pattern of over 1, down 1.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-847 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-13.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\n<li>Use a flexible curve to connect the points and create the pattern.<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-848 size-full aligncenter\" src=\"https:\/\/opentextbc.ca\/patterndevelopment\/wp-content\/uploads\/sites\/359\/2021\/08\/Step-14-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"kaltura_player\" title=\"Radial Line - Cone On A Pitch\" 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_9sxssw9e&#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_rnxdcx6i\" 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<p>&nbsp;<\/p>\n<div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_343_499\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_343_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_343_480\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_343_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_343_478\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_343_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_343_507\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_343_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_343_485\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_343_485\"><div tabindex=\"-1\"><p>an intersection of 2 pieces- an irregular cut on the end of something<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_343_481\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_343_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_343_482\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_343_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":7,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-343","chapter","type-chapter","status-web-only","hentry"],"part":272,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/343","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\/343\/revisions"}],"predecessor-version":[{"id":623,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/343\/revisions\/623"}],"part":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/parts\/272"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapters\/343\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/media?parent=343"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/pressbooks\/v2\/chapter-type?post=343"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/contributor?post=343"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/patterndevelopment\/wp-json\/wp\/v2\/license?post=343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}