Proposition Replicated
Proposition VII.18
If two numbers by multiplying any number make certain numbers, the numbers so produced will have the same ratio as the multipliers.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VII.18
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) (4)
- VII.19Proposition VII.19If four numbers be proportional, the number produced from the first and fourth will be equal to the number produced…
- VIII.5Proposition VIII.5Plane numbers have to one another the ratio compounded of the ratios of their sides.
- VIII.11Proposition VIII.11Between two square numbers there is one mean proportional number, and the square has to the square the ratio duplicate…
- VIII.12Proposition VIII.12Between two cube numbers there are two mean proportional numbers, and the cube has to the cube the ratio triplicate of…
Discussion
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