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> try to measure both a side and a diagonal of a square using the same measuring-stick, you’ll run into trouble Because you never end up with whole numbers bot
by commandlinefan 7y ago
> try to measure both a side and a diagonal of a square using the same measuring-stick, you’ll run into trouble
Because you never end up with whole numbers both ways?
- mjcohen 7y agoCorrect. Incommensurable - lacking a common measure. The side and diagonal of an isosceles right triangle are incommensurable - there is no length that goes into both an integer number of times. There is a proof of this in Euclid.