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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 211

An illustration from Modern instruments and methods of calculation : a handbook of the Napier Tercentenary Exhibition, 1914, leaf 211
-a- P C Fig. i. Integraph for the Linear Differential Equation ay -\-y = Q{x), in which a is a Constant § 2. Connect A and I on the rectangular frame by a rod ending in Iand slotted for A. Let the integrating wheel attached to I be kept tangentto IA, so that the tangent to the integral curve traced… … If, as before, I is the point (x, y), A the point of ordinate Q{x), whileBC = tf, then the gradient of IA is (Q(*)-?)/«. Hence /HQ(*)-*)/«, or ay+y = 0{x) (3) We note also that when IA is parallel to BC, y =0, and the integral curvein general has a turning point. When IA is itself the tangent at A…

Napier, John, 1550-1617 · Calculators · Mathematical instruments

Internet Archive · Gerstein Library, University of Toronto · Public Domain Mark 1.0. Free to use for anything.

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