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Required by (dependents) (10)
- V.4Proposition V.4If a first magnitude have to a second the same ratio as a third to a fourth, any equimultiples whatever of the first…
- V.7Proposition V.7Equal magnitudes have to the same the same ratio, as also has the same to equal magnitudes.
- V.11Proposition V.11Ratios which are the same with the same ratio are also the same with one another.
- V.12Proposition V.12If any number of magnitudes be proportional, as one of the antecedents is to one of the consequents, so will all the…
- V.13Proposition V.13If a first magnitude have to a second the same ratio as a third to a fourth, and the third have to the fourth a greater…
- V.16Proposition V.16If four magnitudes be proportional, they will also be proportional alternately.
- V.17Proposition V.17If magnitudes composed be proportional, they will also be proportional separando.
- VI.1Proposition VI.1Triangles and parallelograms which are under the same height are to one another as their bases.
- VI.33Proposition VI.33In equal circles angles have the same ratio as the circumferences on which they stand, whether they stand at the…
- X.5Proposition X.5Commensurable magnitudes have to one another the ratio which a number has to a number.
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