Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 76
t ir, y, be the general co-ordi-nates of any point in the line as S;x\ y the co-ordinates of the point F;and x, y, the co-ordinates of thepoint Q. The equation of a straight line which passes through the twopoints, S and P, must be of the form y—y^a{x—x), (1) We require the value of a when SP is… … 68 ANALYTICAL GEOMETRY. The two points P and Q being in the curve, also requirey^~9,px\ (4) And y^=2px\ (5) By subtraction y^—y^=^9,p(x—x). Or {y—y)(y+y)^^p{x—x) (6)Dividing (6) by (3) will give 2/+y= ^p (7) Now conceive the line >S^ to turn on the point P as a centeruntil Qflows* into P, then…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
