Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 89
that r is positive for all values of 6. For the hyperbola, a^ — c^ — — If (Art. 51), and a Kc Hencea — c cos 6 will be negative, and therefore r positive, when cos B> - and then the point c P{r, 6) lies on the-right branchof the curve. For example,when ^ = 0, cos ^ = 1, andT — a + c = FB. The… … 180°, cos ^ = - 1, EXERCISES 1. The sum of the focal radii is 8 and the distance between the foci is6. Write the polar equation of the ellipse and sketch the curve from thisequation. 2. The difference between the focal radii is 4 and the distance betweenthe foci is 6. Write the polar equation of…
Geometry, Analytic
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