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Pregled bibliografske jedinice broj: 826586

Zbornik radova

Autori: Šimić Horvath, Marija; Jurkin, Ema; Volenec, Vladimir; Beban-Brkić, Jelena
Naslov: On Harmonic Quadrangle in the Isotropic Plane
( On Harmonic Quadrangle in the Isotropic Plane )
Izvornik: 6th Croatian Mathematical Congress, June 14-17, 2016, Zagreb, Croatia / Hanzer, Marcela (ur.). - Zagreb :
Skup: 6th Croatian Mathematical Congress
Mjesto i datum: Zagreb, Hrvatska, 14-17.06.2016.
Ključne riječi: isotropic plane ; cyclic quadrangle ; harmonic quadrangle
( isotropic plane ; cyclic quadrangle ; harmonic quadrangle )
Sažetak:
In this talk we present several results concerning the geometry of the harmonic quadrangle in the isotropic plane. We consider the standard cyclic quadrangle with the circumscribed circle given by y = x^2 and vertices are chosen to be A = (a, a^2), B = (b, b^2), C = (c, c^2), and D = (d, d^2), with a, b, c, d being mutually diff erent real numbers, where a < b < c < d. The harmonic quadrangle in the isotropic plane is the standard cyclic quadrangle with a special property: the vertices A, B, C and D are chosen in a way that tangents A and C at the vertices A and C, respectively, are intersected in the point incident with BD, and tangents B and D at the vertices B and D, respectively, are intersected in the point incident with AC. Accordingly, 2(ac + bd) = (a + c)(b + d) follows.
Vrsta sudjelovanja: Predavanje
Vrsta prezentacije u zborniku: Sažetak
Vrsta recenzije: Međunarodna recenzija
Izvorni jezik: eng
Kategorija: Znanstveni
Znanstvena područja:
Matematika
Upisao u CROSBI: Marija Šimić Horvath (marija.simic@arhitekt.hr), 11. Srp. 2016. u 15:30 sati



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