An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 180
; 7 v /- T>2 ^ 1 I and Y — i\b Lb BJ I b) which become infinite when 6 = 0. Therefore the asymptote itselfdoes not meet the curve. 238. Dividing the above equation by the coefficient of X2, andcompleting the square, x + A2mb A2m2 - B A2B2 (A2m2 — B2) + A2B262 (A2m2 — B2)2 Hence we have for the… … are the coordinates of M, themiddle point of the chord PP.For a given value of m, theratio of these co-ordinates isconstant; for they satisfy the , . Y B2 relation — = -v or putting X mA m for —; Y = mX. But mA2 this is the equation of a straight line passing through the centre,or of the diameter…
Geometry, Analytic
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