1||0|79|0| 0|0|0|||||error in %27Ceva%27s Theorem%3A A Matter of Appreciation%27|Wayne|1|12:15:50|10/03/2010|Stumbled across this site and hit some semi-random pages with great interest. However%2C I found what I think is an error in %22Ceva%27s Theorem%3A A Matter of Appreciation%22. %0D%0A%0D%0AIn the section on Fibonacci Bamboozlement%2C the explanation of the application of Pick%27s Theorem to the parallelogram in the Java applet is incorrect. It states%2C %22the area of the parallelogram is exactly 1%2C for it contains no grid points in its interior%2C nor on its boundary.%22%0D%0A%0D%0AIf the parallelogram contains no grid points on its interior and none on its boundary%2C then Pick%27s theorem would seem to indicate that the area is 0 %2B 0%2F2 - 1 %3D -1. %0D%0A %0D%0AI think an accurate description is that the parallelogram has 4 boundary points on the lattice %28lower left%2C upper right and two near the middle%29 and no interior points on the lattice%2C so Pick%27s theorem says the area is %0D%0A0 %2B 4%2F2 - 1 %3D 1 %28as expected%29%0D%0A %0D%0A 1|1|0|||||RE%3A error in %27Ceva%27s Theorem%3A A Matter of Appreciation%27|alexb||12:20:09|10/03/2010|Thank you very much. I have inserted %22except for the four vertices%22 after %22nor on its boundary%22. %0D%0A%0D%0AI very much appreciate your taking the time to bring this up.