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Start Over Descriptor "Maneeals" Topic qa1-939
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1. Several observations about Maneeals - a peculiar system of lines

Author

Naga Vijay Krishna Dasari and Jakub Kabat

Subjects
Maneeals, Maneeal's Points, Maneeals triangle of order n, Maneeal's Pedal triangle of order n, Cauchy-Schwarz inequality, Lemoine's Pedal Triangle Theorem, Mathematics, QA1-939
Abstract

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.

Published
2016
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