{"title":"Felice Casorati和意大利高斯光学的接收","authors":"Arrigo Pisati , Riccardo Rosso","doi":"10.1016/j.hm.2022.08.003","DOIUrl":null,"url":null,"abstract":"<div><p>We analyze the work on geometrical optics by Felice Casorati who contributed to the dissemination of Gaussian optics in Italy. In his approach to <span>Gauss</span>'s (<span>1840</span>) <em>Untersuchungen</em> he applied determinants to describe multiple refractions in an optical system and he explored the extension of the theory to cover slightly non-centered optical systems for which he introduced the cardinal line, a straight line that replaces the optical axis in this framework.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Felice Casorati and the reception of Gaussian optics in Italy\",\"authors\":\"Arrigo Pisati , Riccardo Rosso\",\"doi\":\"10.1016/j.hm.2022.08.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We analyze the work on geometrical optics by Felice Casorati who contributed to the dissemination of Gaussian optics in Italy. In his approach to <span>Gauss</span>'s (<span>1840</span>) <em>Untersuchungen</em> he applied determinants to describe multiple refractions in an optical system and he explored the extension of the theory to cover slightly non-centered optical systems for which he introduced the cardinal line, a straight line that replaces the optical axis in this framework.</p></div>\",\"PeriodicalId\":51061,\"journal\":{\"name\":\"Historia Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Historia Mathematica\",\"FirstCategoryId\":\"98\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0315086022000489\",\"RegionNum\":3,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Historia Mathematica","FirstCategoryId":"98","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0315086022000489","RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
Felice Casorati and the reception of Gaussian optics in Italy
We analyze the work on geometrical optics by Felice Casorati who contributed to the dissemination of Gaussian optics in Italy. In his approach to Gauss's (1840) Untersuchungen he applied determinants to describe multiple refractions in an optical system and he explored the extension of the theory to cover slightly non-centered optical systems for which he introduced the cardinal line, a straight line that replaces the optical axis in this framework.
期刊介绍：
Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.
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