Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 139
to any diameter and the tangent at its vertex, as axes. Let A be any point on aparabola; take this point asorigin and draw through itthe diameter AX for thenew axis of X, and the tangentTAY for the new axis of Y. Let YAX=ATX=e,and h and k the co-ordinatesof A referred to the originalaxes AXy AY.… … 124 PLANE ANALYTIC GEOMETRY. lei to A Y, and let Q denote the intersection of the diameterAX and the ordinate FM. Then, from the figure, we have x = AM= AH-i- AM + MQ = h^x -{- PM cos PMQ= h -\- x -{- y cos dy (a) and y = PM=AH+PQ = ]c-\- PM sin PMQ = k ^ y sin 0. {b) But since the point {x, y) is…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
