Commensurable/Examples/3 Feet and 2 Inches
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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