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Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.

15 votes

Geometric meaning of trigonometric relations

In an ancient MathLinks topic (post #6; but see below for a copy) I have given a proof of the inequality by reducing it to $\left(\sqrt{a}\vec{p}+\sqrt{b}\vec{q}+\sqrt{c}\vec{r}\right)^2\geq 0$, where …
darij grinberg's user avatar
6 votes

College (Euclidean) geometry textbook recommendations

Seconding Liviu's reply about Hadamard's Lecons! This used to be one of my favorite texts (although I, too, didn't care much about the stereometric part). As far as those "semi-advanced theorems" go, …