I have a right quadrilateral (rectangle) of sides A and B.
I need to find the foci of an ellipse that will fit tangent to the center points of all four sides of the rectangle, using nothing but a compass and straight edge.
"Quickie Diagram"
http://i122.photobucket.com/albums/o248/Web_Eagle/fociproblem.gif
I suspect the answer will involve bisecting the sides, setting the compass equal to the diagonal of one of the quadrants, and then marking the longer center line from opposite edges.
BUT, I’m not positive, and on this particular project, I only get one shot. (This actually involves construction, where I will be drilling and cutting into a non-reproducible surface.)
Can anybody tell me clearly if I’m correct, or how else to find these foci? Best proof gets the points!
Thanks!
2007-12-27
10:35:16
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2 answers
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asked by
web-eagle
3
in
Mathematics