Pregled bibliografske jedinice broj: 177609
HOMOLOGY AND ORTHOLOGY WITH TRIANGLES FROM CENTRAL POINTS OF VARIABLE FLANKS
HOMOLOGY AND ORTHOLOGY WITH TRIANGLES FROM CENTRAL POINTS OF VARIABLE FLANKS // Journal for geometry and graphics, 7 (2003), 1. (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 177609 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
HOMOLOGY AND ORTHOLOGY WITH TRIANGLES FROM CENTRAL POINTS OF VARIABLE FLANKS
Autori
Čerin, Zvonko
Izvornik
Journal for geometry and graphics (1433-8157) 7
(2003), 1;
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
triangle; extriangle; flanks; central points; Kiepert parabola; Kiepert hyperbola; homologic; orthologic; envelope; anticomplementary; complementary; Brocard; orthic; tangential; Euler; Torricelli; Napoleon
Sažetak
Here we continue from the paper "Loci related to variable flanks" our study of the following geometric configuration. Let BR1R2C, CR3R4A, AR5R6B be rectangles build on sides of a triangle ABC such that oriented distances |BR1|, |CR3|, |AR5| are lambda|BC|, lambda|CA|, lambda|AB| for some real lambda. We explore the homology and orthology relation of the triangle on central points of triangles AR4R5, BR6R1, CR2R3 (like centroids, circumcenters, and orthocenters) and several natural triangles associated to ABC (as its orthic, anticomplementary, and complementary triangle). In some cases we can identify which curves trace their homology and orthology centers and which curves envelope their homology axis.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
