Geometry can in no way be viewed… as a brach of mathematics; instead, geometry relates to something already given in nature, namely, space. I also had realized that there must be a branch of...

Science is what we understand well enough to explain to a computer. Art is everything else we do. — Donald Knuth. here are 3 kinds of science: the experimental, the theoretical, and the simulated1....

As long as algebra and geometry have been separated, their progress have been slow and their uses limited; but when these two sciences have been united, they have lent each mutual forces, and have...

The interest which pupils take in their studies may be greatly increased if the solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes. — Florian Cajori,...