
Prove that the directrixes of two parabolas that can be drawn to have their foci at any given point
of the ellipse
and to pass through its foci meet at angle which is equal to twice the eccentric angle of 
(From plane Trigonometry Book: S.L Loney)
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Hi ↑ stuart clark:,
Look here
+of+the+ellipse++and+to+pass+through+its+foci+meet+at+angle+which+is+equal+to+twice+the+eccentric+angle+of+
&source=bl&ots=LP2dRutMEt&sig=K4GQXdg6Ic0S3Uh4wVq1ixfYO2U&hl=fr&sa=X&ved=2ahUKEwi_irv97urZAhUGFywKHbRzDfMQ6AEwAnoECAgQAQ#v=onepage&q=Prove%20that%20the%20directrixes%20of%20two%20parabolas%20that%20can%20be%20drawn%20to%20have%20their%20foci%20at%20any%20given%20point%20%24P%24%20of%20the%20ellipse%20%20and%20to%20pass%20through%20its%20foci%20meet%20at%20angle%20which%20is%20equal%20to%20twice%20the%20eccentric%20angle%20of%20%24P%24&f=false">https://books.google.sk/books?id=-GygUT … mp;f=false
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