Proposition Replicated
Proposition VII.17
If a number by multiplying two numbers make certain numbers, the numbers so produced will have the same ratio as the numbers multiplied.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VII.17
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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- VII.18Proposition VII.18If two numbers by multiplying any number make certain numbers, the numbers so produced will have the same ratio as the…
- 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…
- IX.3Proposition IX.3If a cube number by multiplying itself make some number, the product will be cube.
- IX.7Proposition IX.7If a composite number by multiplying any number make some number, the product will be solid.
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