THIS is a philosophical thesis by a writer who is really familiar with the subject of non-Euclidean geometry, and as such it is well worth reading. The first three chapters are historical; the ...

In February, I wrote about Euclid's parallel postulate, the black sheep of the big, happy family of definitions, postulates, and axioms that make up the foundations of Euclidean geometry. I included ...

Some important points to revise from the chapter are: Some of Euclid’s axioms are: (1) Things which are equal to the same thing are equal to one another. (2) If equals are added to equals, the wholes ...