Properties
Alternatively stated, an Euler brick is a solution to the following system of Diophantine equations:
Euler found at least two parametric solutions to the problem, but neither give all solutions.
Given an Euler brick with edges (a, b, c), the triple (bc, ac, ab) constitutes an Euler brick as well.
Read more about this topic: Euler Brick
Famous quotes containing the word properties:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)