Euler-Otto's ballistic tables

Abstract : In 1753, Euler gives a new method of numerical integration for the differential equation of the motion of a projectile in a resistant middle, and provides the computation scheme of a set of numerical tables for the use of artillery. These tables, calculated and published in 1842 by captain Otto, of the Prussian army, will then remain in use until the late 19th century. We shall analyze Euler-Otto’s tables and we shall compare them with the other projects of calculation of ballistic tables conceived during the period 1750-1850 by Graevenitz, Lambert, Borda, Bezout, Legendre, Obenheim, Poncelet, and Didion. It will allow us to draw up a state of numerical and graphical methods of computation used in this time, and to study the circulation of knowledge that could exist in Europe between mathematicians and artillerymen.
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Dominique Tournès. Euler-Otto's ballistic tables. 23rd International Congress of History of Science and Technology, Ideas and Instruments in Social Context, Jul 2009, Budapest, Hungary. 2009. 〈hal-01188702〉

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