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Elements of analytic geometry (1884)

Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 196

An illustration from Elements of analytic geometry, 1884, leaf 196
of this equation is posi-tive, m and m must have the same signs; that is, they mustbe both positive or both negative. Hence the angles whichconjugate diameters make with the transverse axis must beboth acAite or both obtuse. 180 PLANE ANALYTIC GEOMETRY. If and if m < a m> a m> b a m< ba… … meets the hyperbola, the other, QQy will meet the conjugatehyperbola. PP produced bisects all chords parallel to QQin either branch of the hyperbola, and QQ\ produced if neces-sary, bisects all chords drawn between the two branches of thecurve and parallel to PP. Conversely, QQ produced bisects all…

Geometry, Analytic

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