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The Neuberg cubic in locus problems


Čerin, Zvonko
The Neuberg cubic in locus problems // Mathematica Pannonica, 11 (2000), 1; 109-124 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
The Neuberg cubic in locus problems

Autori
Čerin, Zvonko

Izvornik
Mathematica Pannonica 11 (2000), 1; 109-124

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
triangle; concurrent lines; Neuberg cubic; homologous triangles; reflections; pedal; antipedal; isogonal conjugacy; inversion; locus

Sažetak
In this paper we continue the exploration of various locus problems whose solutions involve the Neuberg cubic of the scalene triangle in the plane. We use analytical geometry and the complex numbers to show that the Neuberg equation describes the essential part of the locus in many geometric constructions. In this way we discover new characteristics of the Neuberg cubic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037007

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Zvonko Čerin (autor)


Citiraj ovu publikaciju:

Čerin, Zvonko
The Neuberg cubic in locus problems // Mathematica Pannonica, 11 (2000), 1; 109-124 (podatak o recenziji nije dostupan, članak, znanstveni)
Čerin, Z. (2000) The Neuberg cubic in locus problems. Mathematica Pannonica, 11 (1), 109-124.
@article{article, author = {\v{C}erin, Zvonko}, year = {2000}, pages = {109-124}, keywords = {triangle, concurrent lines, Neuberg cubic, homologous triangles, reflections, pedal, antipedal, isogonal conjugacy, inversion, locus}, journal = {Mathematica Pannonica}, volume = {11}, number = {1}, title = {The Neuberg cubic in locus problems}, keyword = {triangle, concurrent lines, Neuberg cubic, homologous triangles, reflections, pedal, antipedal, isogonal conjugacy, inversion, locus} }
@article{article, author = {\v{C}erin, Zvonko}, year = {2000}, pages = {109-124}, keywords = {triangle, concurrent lines, Neuberg cubic, homologous triangles, reflections, pedal, antipedal, isogonal conjugacy, inversion, locus}, journal = {Mathematica Pannonica}, volume = {11}, number = {1}, title = {The Neuberg cubic in locus problems}, keyword = {triangle, concurrent lines, Neuberg cubic, homologous triangles, reflections, pedal, antipedal, isogonal conjugacy, inversion, locus} }

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