Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 231
lel to PiPo, and since, furthei-,C bisects PiPo and Q1Q2, it follows tliat tlie parallelogramsPiCQoL, PiCQiG, P2HQ1C, and PgCQ.K are equal. Now, thearea of CP1LQ2 is, by Trigonometry, CPi.CQo sin <^,= ab sin <^, = ab. (§ 106). Therefore, Area GKLH = 4ab. Hence : The area of the parallelogram… … Fig. 95. The circle described on the major axis of an ellipse as adiameter is called the major auxiliary circle of the ellipse. If, THE ELLIPSE. 217 now, any ordinate N Pi is prolonged until it cuts the auxiliarycircle in a point R^, then P^ and Ri are called correspondingpoints. It is evident that…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
