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0|0|0|||||Pythoagore %26 intersecting chord theorem|Name||23:19:13|11/05/2008|Hello there%2C%0D%0A%0D%0A  I find the seventy and so proofs of Pythagore%27s theorem really worth of interest. A great thank to those who contributed to it %21%0D%0A  I%27d like to make a suggestion %3A the last proof show an elegant appication of the intersection chord theorem%2C I think I have an even shorter%2C similar to proof %2361. A picture would definitely help shortening what%27s coming %3A-%29%0D%0A  Let A a point outside of a circle of radius r and center O and T on the circle such as %28AT%29 is tangent to the circle. If I and J are on the circle such as the straight lines %28AO%29 and %28IJ%29 are the same%2C then by the tranversal chord theorem one has AT%2AAT %3D AI%2AAJ%2C ie AT%B2%3DAO%B2-r%B2%2C QED.
1|1|0|||||RE%3A Pythoagore %26 intersecting chord theorem|alexb||08:26:00|11/09/2008|I believe this is proof %2343 on the Pythagorean theorem page.