Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 360
n, the measuringarc will be estimated from left to right, the sign of twill be changed to negative, and a similar spiral will bodescribed. Sub-tangent in Polar Curves. 124. The Sub-tangent, in spirals, or in any curvCjreferred to polar co-ordinates,18 the projection of the tangenton a line dra\\Ti… … 156 DIFFEPvENTlAL CALCULUS. [SEC. VH. perpendicular to AP, the sub-tangent. Let AP be aradius-vector, consecutive with AJP, and P§, an arc de-scribed from the centre A. Then, JViV = dt, and QP — duy and, since JPQ isparallel to iViV, we have, P§ = itdL But the arcPQ coincides with its chord (Art.…
Geometry, Analytic · Calculus
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