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CTK Exchange
alexb
Charter Member
2361 posts |
Apr-19-09, 03:12 PM (EST) |
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1. "RE: Monge's Theorem via Desargues"
In response to message #0
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It's the third time in a couple of weeks that I am asked this question. I'd be grateful if you go around and discuss this problem with your classmates. Make this drawing: Pick point X and produce from it three rays Xa, Xo, Xb. On Xo choose points O1 and O2, on Xa points A1 and A2, and on Xb points B1 and B2. Points O are entirely arbtrary, but make an effort to choose points A and B so that O1A1||O2A2 and O1B1||O2B2. You will then see that A1B1||A2B2. Try to think why is this so. (Hint: it has to do with similarity of triangles and the fact that in similar triangles side lengths are in a proportion.) |
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Don Johnson
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Apr-20-09, 07:05 PM (EST) |
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2. "RE: Monge's Theorem via Desargues"
In response to message #1
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Thanks for the help. Sorry that you had to do this problem 3 times in a couple of weeks. If I found it on the forums I wouldn't have asked. |
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