Desargues' theorem

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Desargues' theorem

[dā′zärgz ‚thir·əm]
(mathematics)
If the three lines passing through corresponding vertices of two triangles are concurrent, then the intersections of the three pairs of corresponding sides lie on a straight line, and conversely.
References in periodicals archive ?
13]), whose construction generalizes the construction of the Desargues configuration and of the [10.
The class of multiveblen configurations contains, in particular, structures which generalize the Desargues configuration considered as a perspective of two triangles, and which can be visualized as a perspective of two n-simplices in a projective space.
Then B can be embedded into a projective space if and only if B is a generalized Desargues configuration (a combinatorial Grassmannian).
Prazmowska, Multiple perspective and generalizations of Desargues configuration, Demonstratio Math.
Without loss of generality we can assume that the given Desargues configurations represent a perspective of the triangles ([a.