Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 58
on of a line which passes through two points, asR and F, must be of the form y—y=a{x—x). (1) (Prop. Ill, Chap. I.) The equation for the same line passing through the two pointsR and Q, must be • y—y=a{x~x). (2) And the equation for the same line passing through the twopoints F and Q, must be… … 50 ANALYTICAL GEOMETRY. Because the points P and Q are in the curve, the co-ordinatesof those points must correspond to the following equations : By subtraction A^7/^—f^)-{B^{x^—x^)=0. Or A^y+f )(y-f )=--£(x+x)ix^x). (4) Dividing (4) by (3) we have AHy+f)=---(x+x), (5) ISow conceive the line to…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
