Concept
Incommensurability
2 essays name this object, across one field. What follows is each of them, and the objects they name alongside it.
Two squares, four triangles, and no algebra
The Pythagorean theorem is usually met as a formula to be memorised. It is much better met as a rearrangement that can be checked by eye.
The oldest algorithm, drawn as a tiling
Euclid's method for finding a greatest common divisor is usually presented as a loop. It is also a way of tiling a rectangle with squares, and the tiling explains why it works.
Named alongside it
The objects these essays reach for when they reach for this one.
AreaContinued fractionsCosineDissectionFibonacciGreatest common divisorHypotenuseLamé's theoremLaw of cosinesRight triangleTerminationTiling