Geodesic
On Arne D�r's Equation Concerning Central Axonometries
Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 215-224.

Voir la notice de l'article provenant de la source Heldermann Verlag

It is a classical Descriptive Geometry problem in the Euclidean n-space to characterize the central projections among collinear transformations with rank deficiency. Recently A. D�r [Journal for Geometry and Graphics 7 (2003) 137--143] presented for n = 3 a characterization in form of an equation in complex coordinates -- the central axonometric counterpart of the Gauss equation for orthogonal axonometries. Here two new proofs for D�r's equation are given combined with equivalent statements. And its n-dimensional generalization is addressed which characterizes two-dimensional orthogonal central views among central axonometries.
Classification : 51N05
Mots-clés : Central projection, central axonometry 
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H. Stachel . On Arne D�r's Equation Concerning Central Axonometries. Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 215-224. http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a8/