Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 45
at point. When 2;== 0, 008.^=1, then r=^^. When z^=90, cos,y=0,and r becomes 0 at B^ and the variations of v.from 0 to 90, de-termine all the points in the semicircle BDB. Scholium 2. If the pole be placed at B, then «=-)-i? and5=0, which reduces the general equation tor=—Si^cos. V. Here it is… … THE CIRCLE. 37 Application.—The polar equation of the circle in its mostgeneral form is r^-\-2{acos.v-{bsm.v)r+a^+b^=E^. (1) If we make 5=0, it puts the polar point somewhere on theaxis of X, and reduces the equation to r^+ga cos. v.r+a2=i23. (2) Now if we make v=0, thenwill cos. v=l, and the…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
