If two numbers are both prime to each of two numbers then the (numbers) created from (multiplying) them will also be prime to one another. * For let two numbers, $A$ and $B$, both be prime to each of two numbers, $C$ and $D$. * And let $A$ make $E$ (by) multiplying $B$, and let $C$ make $F$ (by) multiplying $D$. * I say that $E$ and $F$ are prime to one another.
Let $A$ and $C,$ $B$ and $C,$ $A$ and $D,$ $B$ and $D$ be co-prime. Then $AB$ is co-prime to $CD.$
Proofs: 1
Proofs: 1