Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 146
Let Al\ and AP-. be a pair of conjugate diameters of the IllOlEliTlES OF THE CONIC SECTIONS 131 hyperlxtla 1; (.i\,i/i) the coordinates, c/), the eeeeutric angle of the point I\ ; 6 and0 the angles included by theconjugate diameters and theaxes of the hyperbola. Then b tan <^, tan .Tj ((sec… … x,y = a sm X- dtl Po, th-1, i a sin ^1 cr 0- (((tan^i, 6secc^i). Therefore APi — Ui= a-sec^ cl> + b-tmr 4>,AFi = bi^ = a^ tan^ <^i + b^ sec- <^i. By subtraction a^- — bc= a^ — b-; that is, the difference between the squares of anypair of conjugate diameters of the hyperbola equals the…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
