{"id":4001,"date":"2024-06-22T10:09:37","date_gmt":"2024-06-22T14:09:37","guid":{"rendered":"https:\/\/josmfs.net\/?p=4001"},"modified":"2024-06-22T10:09:37","modified_gmt":"2024-06-22T14:09:37","slug":"making-arrows","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2024\/06\/22\/making-arrows\/","title":{"rendered":"Making Arrows"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3998\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/06\/Making-Arrows-Fig2.jpg\" alt=\"\" width=\"201\" height=\"215\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/06\/Making-Arrows-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/06\/Making-Arrows-Fig2-281x300.jpg 281w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This is an interesting problem from 180 BC China.<\/p>\n<p>\u201cIn one day, a person can make 30 arrows or fletch [put the feathers on] 20 arrows.\u00a0 How many arrows can this person both make and fletch in a day?\u201d<\/p>\n<p>It turns out the solution to this problem led me into the history of numerator\/denominator (aka common) fractions, a subject I had been finding difficult to track down.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/06\/Making-Arrows-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/06\/Making-Arrows-240607.pdf\">Making Arrows<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is an interesting problem from 180 BC China. \u201cIn one day, a person can make 30 arrows or fletch [put the feathers on] 20 arrows.\u00a0 How many arrows can this person both make and fletch in a day?\u201d It turns out the solution to this problem led me into the history of numerator\/denominator (aka [&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":[160,7,244],"class_list":["post-4001","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-fractions","tag-math-history","tag-work-problem"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4001","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=4001"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4001\/revisions"}],"predecessor-version":[{"id":4002,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4001\/revisions\/4002"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4001"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4001"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4001"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}