Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 45
e polar equation of a curve is the equation for any point inthe curve estimated from any fixed point called a pole. Thevariable distance from the pole to any point in the curve iscalled the radius vector, and the angle which the radius vectormakes with a given straight line is called the variable… … Now let P be the pole, and theco-ordinates of that point a and b.PM=r, and MPX=v the variableangle. ANz=x and NM=y. Thenit is obvious thatx-=a-\-r COS. v, and y±=J-(~**sin. v.These values of x and y substi-tuted in (1), (observing that cos.^v-j-sin. ^a;=l,) will give which is the polar equation…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
