Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 103
To draw a tangent through a point without the curve. J7 ,- 26. Let M be the givenpoint. With either focus,as jF, as a centre, and aradius equal to the trans-verse axis, describe the arcAW£r, Then, with Mas a centre, and a radiusequal to MJ\ the distanceto the other focus, describethe arc FKHK\… … BOOK ni. THE ELLIPSE. 103 intersects the ellipse, draw the straight line MPT^ and itwill be tangent to the ellipse, at P. For, since P is a point of the ellipse, FP + PF isequal to the transverse axis. But FP -f PK is equal tothe transverse axis, by construction. Hence, PF — PK. Further, since the…
Geometry, Analytic · Calculus
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