Question: [i]Given the ellipse equation,
x²/a² + y²/b²=1
How can I show that any two rays drawn from the foci and meeting at a point on the arc add up to the same length?[/i]
I adopted the following approach:
Build the problem using string and tacks. Convert the construction to algebra. Prove that the resulting equation is x²/a² + y²/b²=1.
Accompanying text: [url]http://mathosaurus.blogspot.com/2013/06/constructing-ellipse.html[/url]
The equation at the top of the applet is an intermediate step.
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