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CTK Exchange
Wayne
guest
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Oct-03-10, 12:15 PM (EST) |
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"error in 'Ceva's Theorem: A Matter of Appreciation'"
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Stumbled across this site and hit'some semi-random pages with great interest. However, I found what I think is an error in "Ceva's Theorem: A Matter of Appreciation". In the section on Fibonacci Bamboozlement, the explanation of the application of Pick's Theorem to the parallelogram in the Java applet is incorrect. It'states, "the area of the parallelogram is exactly 1, for it contains no grid points in its interior, nor on its boundary." If the parallelogram contains no grid points on its interior and none on its boundary, then Pick's theorem would seem to indicate that the area is 0 + 0/2 - 1 = -1. I think an accurate Description is that the parallelogram has 4 boundary points on the lattice (lower left, upper right and two near the middle) and no interior points on the lattice, so Pick's theorem says the area is 0 + 4/2 - 1 = 1 (as expected) |
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