{"title":"关于正多边形的近似构造","authors":"S. Scott","doi":"10.1017/S0950184300002901","DOIUrl":null,"url":null,"abstract":"My attention was drawn by an Art teacher to the following approximate construction for inscribing a regular polygon of n sides in a given circle, having diameter AB , centre O . Find C in AB so that AC : AB = 2: n , and construct the equilateral triangle ABD . If DC produced meets the circle in E , then AE is approximately a side of the required polygon.","PeriodicalId":417997,"journal":{"name":"Edinburgh Mathematical Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On an approximate construction for a regular polygon\",\"authors\":\"S. Scott\",\"doi\":\"10.1017/S0950184300002901\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"My attention was drawn by an Art teacher to the following approximate construction for inscribing a regular polygon of n sides in a given circle, having diameter AB , centre O . Find C in AB so that AC : AB = 2: n , and construct the equilateral triangle ABD . If DC produced meets the circle in E , then AE is approximately a side of the required polygon.\",\"PeriodicalId\":417997,\"journal\":{\"name\":\"Edinburgh Mathematical Notes\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Edinburgh Mathematical Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/S0950184300002901\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Edinburgh Mathematical Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/S0950184300002901","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
一位美术老师引起了我的注意，下面的近似构造是在一个给定的圆上刻下一个有n个边的正多边形，直径为AB，圆心为O。在AB中求C，使AC: AB = 2: n，构造等边三角形ABD。如果产生的直流电满足E中的圆，则AE大约是所需多边形的一条边。
On an approximate construction for a regular polygon
My attention was drawn by an Art teacher to the following approximate construction for inscribing a regular polygon of n sides in a given circle, having diameter AB , centre O . Find C in AB so that AC : AB = 2: n , and construct the equilateral triangle ABD . If DC produced meets the circle in E , then AE is approximately a side of the required polygon.
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