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Help with math problem : D

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Given a triangle ABC (ax, ay, bx, by, cx, cy) that may be rotated any which way about the origin and a point P (px, py), determine

whether or not P is in the Steiner Circum Ellipse for triangle ABC limited to Trigonometry and using as little steps as possible.

Retrieve the coordinates for both foci and the major/minor axes extrema relative to centroid g of triangle abc and graph the

ellipse using the standard equation for an ellipse.

Where
Q = a^2+b^2+c^2-ab-ac-bc
Sw = (a^2+b^2+c^2)/2

a (major axis) = 2/9*SquareRoot(Q+Sw)
b (minor axis) = 2/9*SquareRoot(Q-Sw)
c (foci) = 2/3*SquareRoot(Q)

(x-h)^2/a^2+(y-k)^2/b^2 = 1
 

fladdermasken

Off-Topic Moderator
Level 39
Joined
Dec 27, 2006
Messages
3,690
A trig question it is. It might help if you sketch the problem, I always find that visualizing the problem makes it much easier to solve when it comes to trigonometry. I'm having some problems translating some of the terms to swedish, I might be able to help you if I can just figure some of the terms out.
 
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