Napredna pretraga

Pregled bibliografske jedinice broj: 425194

Power of the Point and the Line with respect to the Circle in the Isotropic Plane


Šimić, Marija
Power of the Point and the Line with respect to the Circle in the Isotropic Plane // Conference on Geometry Theory and Applications Book of Abstracts / Bastl, B., Lavička, M. (ur.).
Plzen, 2009. (predavanje, međunarodna recenzija, sažetak, znanstveni)


Naslov
Power of the Point and the Line with respect to the Circle in the Isotropic Plane

Autori
Šimić, Marija

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Conference on Geometry Theory and Applications Book of Abstracts / Bastl, B., Lavička, M. - Plzen, 2009

ISBN
978-80-86843-27-8

Skup
Conference on Geometry Theory and Applications

Mjesto i datum
Plzen, Češka, 29.06.-02. 07. 2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Isotropic plane; radical center; radical axis; umbilic point; umbilic axis

Sažetak
The power of the point and the line with respect to the circle in the isotropic plane are studied in this presentation. The obtained results are applied in the investigation of properties of the non cyclic quadrangle in the isotropic plane. Hence, the radical axis and the radical center of circles in the isotropic plane are presented. As the principle of duality is preserved in the isotropic plane, notions dual to the radical axis and to the radical center, the umbilic point and the umbilic axis respectively, are introduced. Non cyclic quadrangle is called standard if a special hyperbola with the equation xy = 1 is circumscribed to it. The properties of the standard quadrangle related to the umbilic point and the umbilic axis of the circles are given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove
Arhitektonski fakultet, Zagreb

Autor s matičnim brojem:
Marija Šimić Horvath, (234930)