Proof
A composite has a factorisation ; multiplying by gives the
triple product , which is solid by definition (VII.17).
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Depends on (3)
- VII.17Proposition VII.17If a number by multiplying two numbers make certain numbers, the numbers so produced will have the same ratio as the…
- VII.13Definition VII.13A composite number is that which is measured by some number.
- VII.17Definition VII.17When three numbers having multiplied one another make some number, the number so produced is solid, and its sides are…
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