The extremal ranks of subject to a pair of matrix equations
Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Yongge Tian, Yonghui Liu (2006)
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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|. 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.
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(1993)
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