{"id":2658,"date":"2022-04-16T07:59:46","date_gmt":"2022-04-16T11:59:46","guid":{"rendered":"https:\/\/josmfs.net\/?p=2658"},"modified":"2024-04-06T13:39:49","modified_gmt":"2024-04-06T17:39:49","slug":"turning-wheels-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/04\/16\/turning-wheels-puzzle\/","title":{"rendered":"Turning Wheels Puzzle"},"content":{"rendered":"

\"\"<\/p>\n

This is a thoughtful little problem from Posamentier\u2019s and Lehmann\u2019s Mathematical Curiosities<\/em>.<\/p>\n

\u201cWe have nine wheels touching each other with diameters successively increasing by 1 cm. Beginning with 1 cm as the smallest circle, and 9 cm for the largest circle, how many degrees does the largest circle turn when the smallest circle turns by 90\u00b0?\u201d<\/p>\n

Answer<\/a>.<\/p>\n

See the Turning Wheels Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"

This is a thoughtful little problem from Posamentier\u2019s and Lehmann\u2019s Mathematical Curiosities. \u201cWe have nine wheels touching each other with diameters successively increasing by 1 cm. Beginning with 1 cm as the smallest circle, and 9 cm for the largest circle, how many degrees does the largest circle turn when the smallest circle turns by […]<\/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":[132,13],"class_list":["post-2658","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-alfred-posamentier","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2658","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=2658"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2658\/revisions"}],"predecessor-version":[{"id":3628,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2658\/revisions\/3628"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2658"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2658"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}