Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 179
esult inthe form vx sin 2 ^ = Va^_+1. ^/^!_±i! siu 2 ^ • 2 2 that is DP. PH = ON. AH; therefore area ODPP = area OMAN; hence, the area of the parallelogravi constructed upon the co-ordinates of any point of the hyperbola, the asymptotes beingaxes, is constant and equal to the area of the rhombus… … Fig. 54. By a course of reasoning similar to that employed in ArtSo41, 57, 82, we find the required equation to be y — y or, symmetrically. x ^ y y^^x- X) ■ ■ (2) (1) CoR. If we make ?/ = 0 in (2), we have x = 2x = OT. Fig. 54.But OM = x, .: OM = MT .-. TD = TD; hence, the point of tangency in the…
Geometry, Analytic
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