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Topic: Largest Ellipse Inside Pythagorean Triangle? (Read 1516 times) |
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ThudnBlunder
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Largest Ellipse Inside Pythagorean Triangle?
« on: Sep 27th, 2007, 4:15pm » |
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What is the area of the largest ellipse inscribable inside a 3 by 4 by 5 Pythagorean triangle?
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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
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Barukh
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Re: Largest Ellipse Inside Pythagorean Triangle?
« Reply #1 on: Sep 27th, 2007, 11:38pm » |
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Icarus!
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ecoist
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Re: Largest Ellipse Inside Pythagorean Triangle?
« Reply #2 on: Nov 1st, 2007, 5:45pm » |
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I checked your link, Barukh, and got the impression that, the triangle of smallest area circumscribing a circle is equilateral, is sort of obvious. Took me some time to find an elementary proof, but I fear it is unnecessarily long (filling a 3x5 index card). Is there a shorter proof, or is it a corollary of some other result?
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