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Results tagged with euclidean-geometry
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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.
6
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Side-Angle-Side Congruence and the Parallel Postulate
You don't need the parallel postulate, but you are right to be a bit worried about triangle congruences following from Euclid's axioms. The link provided by Michael Lugo explains the issue: Euclid's …
- 6,302
1
vote
College (Euclidean) geometry textbook recommendations
I really like Isaacs' "Geometry for College Students", which I have taught from several times. It is proof-focussed but not pedantic. It's also pretty cheap ($62).
http://www.ams.org/bookstore-ge …
1
vote
What can be said about number-theoretic properties of the solid angle measures of polytopal ...
$S_n$ acts on the set of cones, and preserves the solid angle measure. If you consider the $n!$ rotations of the cone by elements of $S_n$, and except on the union of some hyperplanes, the number of …
- 6,302