Bernstein-test 发表于 2025-3-26 21:36:55
http://reply.papertrans.cn/104/10313/1031228/1031228_31.pngCardiac 发表于 2025-3-27 01:28:07
Lobachevskii,onsideration of the intrinsic differential geometry of the new geometry. This work is seldom described in recent histories of mathematics. Lobachevskii’s later, and better known, work in his . (1840) is compared with the treatment given by János Bolyai..Extract: a lengthy extract from the conclusion to Lobachevskii’s ..改正 发表于 2025-3-27 08:27:03
http://reply.papertrans.cn/104/10313/1031228/1031228_33.pngbile648 发表于 2025-3-27 09:46:06
http://reply.papertrans.cn/104/10313/1031228/1031228_34.pngthrombosis 发表于 2025-3-27 15:57:50
http://reply.papertrans.cn/104/10313/1031228/1031228_35.png指派 发表于 2025-3-27 18:16:45
Theorems in Projective Geometry,Poncelet had described. However, they are proved in a modern way, by reducing them to simple special cases and then using a mixture of elementary vector methods and theorems from elementary Euclidean geometry. The reductions use simple projective transformations, which leads to discussion of the ideUncultured 发表于 2025-3-28 00:15:13
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http://reply.papertrans.cn/104/10313/1031228/1031228_38.png供过于求 发表于 2025-3-28 08:01:12
http://reply.papertrans.cn/104/10313/1031228/1031228_39.png词汇 发表于 2025-3-28 13:19:13
Euclidean Geometry, the Parallel Postulate, and the Work of Lambert and Legendre,es of Euclid’s . it lacks intuitive credibility, and many attempts were made to deduce it from the other postulates. We look at the ideas of Gerolamo Saccheri, who showed in 1733 that a geometry based on all of Euclid’s postulates except the parallel postulate must be one of at most three kinds, whi