Here is another proof of the Reflective Property. (a) Figure 25 suggests that L is the unique

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Here is another proof of the Reflective Property.
(a) Figure 25 suggests that L is the unique line that intersects the ellipse only in the point P. Assuming this, prove that QF1 + QF> PF1 + PF2 for all points Q on the tangent line other than P.
(b) Use the Principle of Least Distance to prove that θ1 = θ2.

L R = (a1, B) F = (-c, 0) P = (xo, Yo) 01 02 R = (, B) F = (c, 0) -X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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