
Only For Disciples of Diophantus
To find out three numbers, ye sages refin'd,
Your assistance be pleas'd to contribute:
The sum of each two less the number remaining
Square numbers must always exhibit.
Ye famous disciples of fam'd Diophantus
Of this you must also take care,
That the sum of all three universally be
In all cases a true perfect square.
Solution:
Source: The Gentleman’s Mathematical Companion, 1803

