Commensurable/Examples/3 Feet and 2 Inches

Example of Commensurability

The lengths $2$ inches and $3$ feet are commensurable.

Proof

$3$ feet is $18$ times $2$ inches.

Hence $2$ inches is a common divisor of both $2$ inches and $3$ feet.

Hence the result by definition of commensurable.

$\blacksquare$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): commensurable
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): commensurable