Proposition VII.11 — If, as whole is to whole, so is a number subtracted to a num…

Proof

Discrete analogue of V.19: subtract equimultiples on antecedents and consequents and the proportion is preserved.

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Depends on (2)

VII.7Proposition VII.7If a number be the same part of a number that a subtracted number is of a subtracted number, the remainder will also be…
VII.8Proposition VII.8If a number be the same parts of a number that a subtracted number is of a subtracted number, the remainder will also…

Required by (dependents) (1)

IX.35Proposition IX.35If as many numbers as we please be in continued proportion, and there be subtracted from the second and the last…

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