Modern instruments and methods of calculation : a handbook of the Napier Tercentenary Exhibition (1914)
Horsburg, E. M. (Ellice Martin), Napier Tercentenary Exhibition (1914 : Edinburgh, Scotalnd) · London : G. Bell · leaf 214
m—a problemwhose analytical solution is known only in a few cases. All such integraphs in which Cartesian co-ordinates are used he classifiesas Cartesian integraphs. When polar co-ordinates are used we obtain polarintegraphs. {Vide Pascal, / Miei Integrafi, Naples, 1914.) Polar Integraphs § 5. In… … O, a heavy wheel at B, and the foot of a tracer at I. The instrument in useis rotated round O as a fixed point. The integrating wheel at I may makeany constant angle a with I A. Case (i) Take AOB =71-/2 ; a=ir/2. Let OA--=p ; 01 =r; XOA=0 ; and let /o=Q(0) be the equation to thepath of A. Then…
