Full Description
This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.
Contents
Part 1: Essays.- 1 Renzo Caddeo and Athanase Papadopoulos, Introduction.- 2 Athanase Papadopoulos, Ancient geography: some markers.- 3 Athanase Papadopoulos, Euler and Maupertuis on the figure of the Earth.- 4 Charalampos Charitos, On the duration of the passage of a star from an almucantar to another.- 5 Charalampos Charitos, The differential equations in Euler's work on geography.- 6 Athanase Papadopoulos, Euler, Delisle and cartography.- 7 Charalampos Charitos and Athanase Papadopoulos, On Delisle's geographical projection.- 8 Charalampos Charitos, Lagrange's method for the construction of geographical maps.- 9 Athanase Papadopoulos, Some notes on the impact of Lagrange's memoir On the construction of geographical maps.- 10 Annette A'Campo-Neuen, Lambert's work on geographic map projections.- Part II: Sources.- 11 Vincent Alberge and Athanase Papadopoulos, Elements of spheroidal trigonometry drawn from the method of maxima and minima. Leonhard Euler.- 12 Renzo Caddeo, On the representation of the spherical surface on the plane. Leonhard Euler.- 13 Renzo Caddeo, On the geographical projection of the surface of the sphere. Leonhard Euler.- 14 Renzo Caddeo, On Delisle's geographical projection used for a general map of the Russian Empire. Leonhard Euler.- 15 Vincent Alberge and Athanase Papadopoulos, On the construction of geographical maps. Joseph-Louis Lagrange.- 16 Annette A'Campo-Neuen, Notes and comments on the composition of terrestrial and celestial maps. Johann Heinrich Lambert.
