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Triangles from sums of sides and altitudes

The authors consider problems of the following type: Given is a triangle with sides \(a,b,c\), and a function \(f(a,b,c)\), e.g. \(f(a,b,c)=\xi a+h_a\), where \(h_a\) is the altitude of \(a\) in the triangle and \(\xi\geq 1/2\). Now there exists a triangle with sides \(a'=f(a,b,c)\), \(b'=f(b,c,a)\), \(c'=f(c,a,b)\), if and only if \(T(a',b',c')=(a'+b'+
Čerin, Zvonko, Gianella, Gian Mario
openaire   +1 more source

Visine i ortocentar trokuta

2007
Kroz učilice pripremljene u programu dinamičke geometrije izvedeni su i dokazani neki poučci koji uključuju ortocentar trokuta.
openaire  

When Can One Expect a Stronger Triangle Inequality?

, 2013
V. Faĭziev, R. C. Powers, P. K. Sahoo
semanticscholar   +1 more source

The Raymond Pearl memorial lecture, 1996: The eternal triangle—genes, phenotype, and environment

American Journal of Human Biology, 1997
P. Baker
semanticscholar   +1 more source

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