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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 …
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, …