recession 发表于 2025-3-23 11:03:57

Some Notes on the Impact of Lagrange’s Memoir ,oduced in this memoir with other notions that appeared later in the works of several mathematicians including Chebyshev (19th c.) and Darboux (19th–20th c.), two mathematicians who were particularly interested in geography.

ANT 发表于 2025-3-23 16:09:49

http://reply.papertrans.cn/63/6262/626172/626172_12.png

植物群 发表于 2025-3-23 18:30:37

Notes and Comments on the Composition of Terrestrial and Celestial Mapss or to preserve the proportion of area or to map great circles to lines or circles. He obtains conditions for such maps in terms of differential equations and constructs explicit families of examples some of which have become important tools in modern cartography.

glowing 发表于 2025-3-23 23:05:13

http://reply.papertrans.cn/63/6262/626172/626172_14.png

袋鼠 发表于 2025-3-24 05:58:12

http://reply.papertrans.cn/63/6262/626172/626172_15.png

Ingredient 发表于 2025-3-24 07:31:02

http://reply.papertrans.cn/63/6262/626172/626172_16.png

绊住 发表于 2025-3-24 12:18:12

http://reply.papertrans.cn/63/6262/626172/626172_17.png

ARIA 发表于 2025-3-24 16:26:04

http://reply.papertrans.cn/63/6262/626172/626172_18.png

大门在汇总 发表于 2025-3-24 19:40:42

The Differential Equations in Euler’s Work on GeographyWe present Euler’s method for the construction of geographical projections. In particular, we explain how Euler translated natural hypotheses on geographical maps into a system of differential equations whose solution permits the construction of projections from the 2-sphere into the plane.

persistence 发表于 2025-3-25 00:06:57

On Delisle’s Geographical ProjectionDelisle’s geographical projection is presented and Euler’s study of this projection is explained, highlighting some mathematical points.
页: 1 [2] 3 4 5 6
查看完整版本: Titlebook: Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert; Renzo Caddeo,Athanase Papadopoulos Book 2022 The Editor(s)