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| Geometric calculator (Posted on 2006-11-24) |
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Given three segments of length 1, a and b in the plane, how can one construct segments of length a+b, |a-b|, ab, a/b, √a using ruler and compass? Which other calculator functions can be performed by geometric construction?
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Submitted by JLo
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Rating: 4.0000 (1 votes)
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Solution:
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(Hide)
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Complete solutions were posted by Frederiko and Bractals, so see their comments. There are only few other calculator functions that can be done with ruler and compass: Obviously any positive integer number can be constructed, therefore r*a can also be constructed for any rational number r, as well as expressions like 23%a. |
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