Titlebook: Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert; Renzo Caddeo,Athanase Papadopoulos Book 2022 The Editor(s)

recession

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

植物群

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

袋鼠

Ingredient

絆住

ARIA

大門在匯總

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

On Delisle’s Geographical ProjectionDelisle’s geographical projection is presented and Euler’s study of this projection is explained, highlighting some mathematical points.