Proposition Replicated
Proposition VII.20
The least numbers of those which have the same ratio with them measure those which have the same ratio the same number of times, the greater the greater and the less the less.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VII.20
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (2)
Required by (dependents) (7)
- VII.21Proposition VII.21Numbers prime to one another are the least of those which have the same ratio with them.
- VII.22Proposition VII.22The least numbers of those which have the same ratio with them are prime to one another.
- VII.34Proposition VII.34Given two numbers, to find the least number which they measure.
- VIII.1Proposition VIII.1If there be as many numbers as we please in continued proportion, and the extremes of them be prime to one another, the…
- VIII.3Proposition VIII.3If as many numbers as we please in continued proportion be the least of those which have the same ratio with them, the…
- VIII.6Proposition VIII.6If there be as many numbers as we please in continued proportion, and the first do not measure the second, neither will…
- VIII.7Proposition VIII.7If there be as many numbers as we please in continued proportion, and the first measure the last, it will measure the…
Discussion
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