Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 259
diameter CN to the middle point of SM, and atthe point P where CN intersects the hyperbola draw the tan-gent TT. Then by § 121, 1, TT is parallel to SM. ButTP = PT, by previous article, .-. QN = NR.But MN = NS, by construction, .-. QM = SR. 244 PLANE ANALYTIC GEOMETRY. 127. Equation of an Hyperbola… … Fig. 105. We have, by [21], § 45, as the formulas of transformationX == x cos 9 -\- y cos $,y = x sin ^ + y sin 6,where d = XCX and 0 = XCY. Since CA = a and AH = — b, it follows from Trigonometry that cos 6Also, since =, sin 0 Va^+b^ Va+b^ CA = a and AH = b, cos u = a . „, b , sin 6 = Va^ + b^ Va^…
Geometry, Analytic
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