{"id":857,"date":"2019-03-31T12:21:55","date_gmt":"2019-03-31T16:21:55","guid":{"rendered":"http:\/\/josmfs.net\/?p=857"},"modified":"2024-04-14T11:03:19","modified_gmt":"2024-04-14T15:03:19","slug":"tandem-circles","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/03\/31\/tandem-circles\/","title":{"rendered":"Tandem Circles"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2227\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Tandem-Circles-fig2.jpg\" alt=\"\" width=\"240\" height=\"209\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Tandem-Circles-fig2.jpg 402w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Tandem-Circles-fig2-300x261.jpg 300w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><a href=\"https:\/\/twitter.com\/jamestanton\">James Tanton<\/a> had another interesting puzzle on Twitter.<\/p>\n<p>\u201cPoints P and Q each move counterclockwise on a circle, uniform speed, one revolution per minute. At each instant, segment PQ is translated so that P is at the origin. Let Q&#8217; be the image of Q. What curve is traced by the points Q&#8217;?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Tandem-Circles-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/03\/Tandem-Circles-190331.pdf\">Tandem Circles<\/a> for an answer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>James Tanton had another interesting puzzle on Twitter. \u201cPoints P and Q each move counterclockwise on a circle, uniform speed, one revolution per minute. At each instant, segment PQ is translated so that P is at the origin. Let Q&#8217; be the image of Q. What curve is traced by the points Q&#8217;?\u201d Answer. See [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[51,43],"class_list":["post-857","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-complex-numbers","tag-james-tanton"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/857","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=857"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/857\/revisions"}],"predecessor-version":[{"id":3864,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/857\/revisions\/3864"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=857"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=857"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=857"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}