{"title":"双曲几何庞卡罗圆盘模型中的Möbius-Bretschneider和Möbius-Cagnoli公式","authors":"Gülcan Balakan, Oğuzhan Demirel","doi":"10.23851/MJS.V32I1.932","DOIUrl":null,"url":null,"abstract":"In this paper, we present two gyroarea formulas (Mobius-Bretschneider’s formula and Mobius-Cagnoli’s formula) for Mobius gyroquadrilaterals in the Poincare disc model of hyperbolic geometry.","PeriodicalId":7515,"journal":{"name":"Al-Mustansiriyah Journal of Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry\",\"authors\":\"Gülcan Balakan, Oğuzhan Demirel\",\"doi\":\"10.23851/MJS.V32I1.932\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present two gyroarea formulas (Mobius-Bretschneider’s formula and Mobius-Cagnoli’s formula) for Mobius gyroquadrilaterals in the Poincare disc model of hyperbolic geometry.\",\"PeriodicalId\":7515,\"journal\":{\"name\":\"Al-Mustansiriyah Journal of Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-02-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Mustansiriyah Journal of Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23851/MJS.V32I1.932\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Mustansiriyah Journal of Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23851/MJS.V32I1.932","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry
In this paper, we present two gyroarea formulas (Mobius-Bretschneider’s formula and Mobius-Cagnoli’s formula) for Mobius gyroquadrilaterals in the Poincare disc model of hyperbolic geometry.
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