Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 81
the lines must not only intersect, but intersect 07i thecircle whose equation is y^ = ^2 — ^2^ this equation must subsist at the same time with equation (a)above ; hence, dividing, we have 1 = — ss,or, 1 + ss = 0 . . . (1) Hence the supplemental chords of a circle are perpendicularto each other.… … Fig. 24. Let CS be any line cutting the circle in the points P (x, y)^P {x, y). Its equation is y-y - i I C (^ - ^)- (^^*- 26, (4)). Since the points {x, y), (x, y) are on the circle, we havethe equations of condition x + ?/ = ft ... (1)x^ + /2 = a^ . . . (2) These three equations must subsist at…
Geometry, Analytic
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