Displaying similar documents to “The Moore-Penrose inverse of a partitioned matrix M = A 0 B C

Several observations about Maneeals - a peculiar system of lines

Naga Vijay Krishna Dasari, Jakub Kabat (2016)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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For an arbitrary triangle ABC and an integer n we define points Dn, En, Fn on the sides BC, CA, AB respectively, in such a manner that |AC|n|AB|n=|CDn||BDn|,|AB|n|BC|n=|AEn||CEn|,|BC|n|AC|n=|BFn||AFn|. A C n A B n = C D n B D n , A B n B C n = A E n C E n , B C n A C n = B F n A F n . Cevians ADn, BEn, CFn are said to be the Maneeals of order n. In this paper we discuss some properties of the Maneeals and related objects.

Erratum

(1993)

Compositio Mathematica

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