Examples
The smallest Euler brick, discovered by Paul Halcke in 1719, has edges and face diagonals 125, 244, and 267.
Some other small solutions, given as edges (a, b, c) — face diagonals (d, e, f), are below:
- (85, 132, 720) — (157, 725, 732);
- (88, 234, 480) — (250, 488, 534);
- (140, 480, 693) — (500, 707, 843);
- (160, 231, 792) — (281, 808, 825);
- (240, 252, 275) — (348, 365, 373).
Read more about this topic: Euler Brick
Famous quotes containing the word examples:
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (18961966)
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (15331592)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (16881744)