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Question: Property of an ellipse

Question:Property of an ellipse

JAMET 425 Maple 2018
normal ellipse tangent
September 22 2020
0
Be an ellipse E of center O, of foci F, F1, of major axis AA1 (OA=a, OF=c), M a point of E, m its projection on AA1, T and N the points where the tangent and the normal in M cut AA1 respectively. How to establish the formulas: NF=c/a*MF; Om*OT=a² ; ON=c²/a²*Om ? Thank you.
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