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Questions tagged [euclidean-geometry]

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.

-1 votes
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I came across this problem by trying to construct a "nice" triangle, e.g. for an illustration, from 3 distances $\lbrace\|A-O\|, \|B-O\|, \|C-O\|\rbrace$ and the fuzzy requirement that $O$ ...
Manfred Weis's user avatar
2 votes
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first the trivial facts: Non-degenerate n-dimensional simplices have $n+1$ corners and $\frac{(n+1)n}{2}$ edges. The center of the circum-hypersphere from which all $n+1$ corners are equidistant can ...
Manfred Weis's user avatar