{"title":"克劳维几何实践的兼收并蓄的内容与来源","authors":"John B. Little","doi":"10.1007/s00407-022-00288-5","DOIUrl":null,"url":null,"abstract":"<div><p>We consider the <i>Geometria Practica</i> of Christopher Clavius, S.J., a surprisingly eclectic and comprehensive practical geometry text, whose first edition appeared in 1604. Our focus is on four particular sections from Books IV and VI where Clavius has either used his sources in an interesting way or where he has been uncharacteristically reticent about them. These include the treatments of Heron’s Formula, Archimedes’ <i>Measurement of the Circle</i>, four methods for constructing two mean proportionals between two lines, and finally an algorithm for computing <i>n</i>th roots of numbers.</p></div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":"76 4","pages":"391 - 424"},"PeriodicalIF":0.7000,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The eclectic content and sources of Clavius’s Geometria Practica\",\"authors\":\"John B. Little\",\"doi\":\"10.1007/s00407-022-00288-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We consider the <i>Geometria Practica</i> of Christopher Clavius, S.J., a surprisingly eclectic and comprehensive practical geometry text, whose first edition appeared in 1604. Our focus is on four particular sections from Books IV and VI where Clavius has either used his sources in an interesting way or where he has been uncharacteristically reticent about them. These include the treatments of Heron’s Formula, Archimedes’ <i>Measurement of the Circle</i>, four methods for constructing two mean proportionals between two lines, and finally an algorithm for computing <i>n</i>th roots of numbers.</p></div>\",\"PeriodicalId\":50982,\"journal\":{\"name\":\"Archive for History of Exact Sciences\",\"volume\":\"76 4\",\"pages\":\"391 - 424\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-05-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive for History of Exact Sciences\",\"FirstCategoryId\":\"98\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00407-022-00288-5\",\"RegionNum\":2,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive for History of Exact Sciences","FirstCategoryId":"98","ListUrlMain":"https://link.springer.com/article/10.1007/s00407-022-00288-5","RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
The eclectic content and sources of Clavius’s Geometria Practica
We consider the Geometria Practica of Christopher Clavius, S.J., a surprisingly eclectic and comprehensive practical geometry text, whose first edition appeared in 1604. Our focus is on four particular sections from Books IV and VI where Clavius has either used his sources in an interesting way or where he has been uncharacteristically reticent about them. These include the treatments of Heron’s Formula, Archimedes’ Measurement of the Circle, four methods for constructing two mean proportionals between two lines, and finally an algorithm for computing nth roots of numbers.
期刊介绍:
The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.