### The weighted Fermat triangle problem.

Shen, Yujin, Tolosa, Juan (2008)

International Journal of Mathematics and Mathematical Sciences

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Shen, Yujin, Tolosa, Juan (2008)

International Journal of Mathematics and Mathematical Sciences

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Mark Keil, J, Vassilev, Tzvetalin (2010)

Serdica Journal of Computing

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* A preliminary version of this paper was presented at XI Encuentros de Geometr´ia Computacional, Santander, Spain, June 2005. We consider sets of points in the two-dimensional Euclidean plane. For a planar point set in general position, i.e. no three points collinear, a triangulation is a maximal set of non-intersecting straight line segments with vertices in the given points. These segments, called edges, subdivide the convex hull of the set into triangular regions called...

Mohammadi Daniali, H.R., Zsombor-Murray, P.J., Angeles, J. (1996)

Mathematica Pannonica

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Juan Varona (2006)

Open Mathematics

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We give a short proof to characterize the cases when arccos(√r), the arccosine of the squareroot of a rational number r ∈ [0, 1], is a rational multiple of π: This happens exactly if r is an integer multiple of 1/4. The proof relies on the well-known recurrence relation for the Chebyshev polynomials of the first kind.

d'Azevedo Breda, A.M. (1996)

Portugaliae Mathematica

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Aaron Melman (2013)

The Teaching of Mathematics

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Avelino, Catarina P., Santos, Altino F. (2008)

The Electronic Journal of Combinatorics [electronic only]

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Rusin, David J. (1998)

The New York Journal of Mathematics [electronic only]

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Bremner, Andrew (2006)

Annales Mathematicae et Informaticae

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Bukor, József (2008)

Annales Mathematicae et Informaticae

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Petulante, Nelson, Kaja, Ifeoma (2000)

International Journal of Mathematics and Mathematical Sciences

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J. MacLeod, Allan (2008)

Annales Mathematicae et Informaticae

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Steinhardt, Jacob (2009)

The Electronic Journal of Combinatorics [electronic only]

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