Jump to navigation Jump to search
In the words of Euclid:
- And, when two numbers having multiplied one another make some number, the number so produced is called plane, and its sides are the numbers which have multiplied one another.
A example of a plane number is $6 = 2 \times 3$.
Let $m$ and $n$ be plane numbers.
- $m = p_1 \times p_2$ where $p_1 \le p_2$
- $n = q_1 \times q_2$ where $q_1 \le q_2$
Then $m$ and $n$ are similar if and only if:
- $p_1 : q_1 = p_2 : q_2$