The ten pairs of directly similar triangles in perspective in the Wood-Desargues’ configuration have ten common Hagge circle centres. These centres are known to lie one each of the ten perspectrices. It is shown in this paper that these centres also lie at the vertices of five cyclic quadrangles, which are similar to the five cyclic quadrangles of the initial Wood-Desargues ’ configuration and that these five new cyclic quadrangles have a common circumradius. 1
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Article : "L’univers fantasmagorique dans le Geumo sinhwa (Nouveaux Contes du mont de la Tortue d’or...
We define some Schnyder-type combinatorial structures on a class of planar triangulations of the pen...
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The triangles formed by the triples in Pythagoras’ or Plato’s families can be geometrically intercon...
In mathematics, three integer numbers or triples have been shown to govern a specific geometrical ba...
The oblique circular torus (OCT) and its main geometric properties are introduced. Intrinsic vector ...
A leap in knowledge often is accompanied by a necessary leap in the human thought process. This was ...
8 pages, 1 article*De meilleures regions de confiance pour les distributions a symetrie spherique* (...
Abstract: Circles through the Brocard points (Omega circles) share nearly all the properties of cir...
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Yoshikawa made a table of knotted surfaces in R^4 with ch-index 10 or less. This remarkable table is...
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summary:The diagonals of an arbitrary hexagon define six triangles over its sides. The centroids of ...
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The open problem of whether or not every pair of equal-area polygons has a hinged dissection is disc...
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