Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 161
ords. Def. The two straight lines drawn from any point on anellipse to the extremities of any diameter are called supple-mental chords. If the diameter is the major axis, the chords are calledprincipal supplemental chords. Relation between Two Supplemen-tal Chords. Let PP be any diame-ter, andP§,… … 146 PLANE ANALYTIC GEOMETRY. iind the equation of the line PQ may be written y -\- y = fn\x + x), whence, by multiplication, y - y^ mm[x - x), (a) But since the points {x, y) and {x, y) are on the curve,we have ay^ + hx = aband ay + Fx=z ab; whence a(?/ - y) + b^x - x) = 0, or (i) Comparing (a) and…
Geometry, Analytic
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