Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 203
r, when the axes are the equi-conjugate diameters, we have x^ -\- if= «/.The equation (3) has the same form as the equation of theellipse referred to its own axes. Hence, any formulae derivedfrom the equation ^2 ^fl x y which are independent of the angle between the axes, willalso hold true when… … Fig. 121. 146. Polar equationof the ellipse referredto left-hand Focus. P is any point (p, 0) on-X the ellipse. Now p ~ a -\- ex,and a^ = ON = EN - FO= p cos 0 — ae... p = a-{-epcosO —ae^f THE ELLIPSE 187 yv xiciAV/C ^ 1 — e COS ^ Discussion ; When e = 0, p = a+ ae = FA. e = - , p ^ a {1 — e-) =…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
