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Results tagged with euclidean-geometry
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user 40141
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.
3
votes
1
answer
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Incenter-of-mass of a polygon
"Circumcenter of mass"
is a natural generalization of circumcenter to non-cyclic polygons.
CCM(P) can be defined as the weighted average of the circumcenters
of the triangles in any triangulation of P …
- 221
2
votes
Incenter-of-mass of a polygon
Given convex polygon P, the generalized incenter ICM(P) can be computed simply as follows.
Choose any "dual triangulation" of P-- that is, n-2 side-triples of P,
corresponding to a triangulation of …
- 221