Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 138
The ellipse ^„ + j-^ equations of lines through (a;, ?/), (a, 0) and (.-», ?/),(— a, 0) are Fig. 112. •/ {X - a), x — a , y PliOPKRTlES OF THE CONIC SECTIONS 123 Calling the angles made l)y tlie supplementary eliords with the X-axis </> and <^, tan <^ tan 4> — V From the equa- x-).… … tion of the ellipse, //- = —(a In like manner for the hyperbolay = tan 6 • x and ?/ = tan 6 eters of the ellipse —4--^--d- h-tan 6 • tan 6 = tan 4> • tan </>,from which it followsthat if one of a pair ofsupplementary chords isparallel to a diameter theother chord is parallel tothe…
Geometry, Analytic
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