The Complement of the Hugelschaffer’s Construction of the Egg Curve
Konferencijski prilog (Objavljena verzija)
,
Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
Hügelschäffer’s construction, based on the distortion of the
ellipse construction, provides an egg-shaped curve. This curve is a
mixed cubic curve, the cubic hyperbolic parabola of type A. Curve is a
three-branched and except the oval arising from mentioned construction, it contains two more branches which converge towards two asymptotes: one linear and one parabolic asymptote. Since the Hügelschäffer’s construction does not give a solution for this part of the curve, we discussed the possibility of amendments to this construction, so that the entire course of the curve could be graphically processed. We came to a solution using Cartesian hyperbole complementary to the circles from Hügelschäffer’s construction.
Ključne reči:
Hügelschäffer’s construction / egg curve / asymptote / circle / hyperbolaIzvor:
PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010, 2010, 520-530Izdavač:
- Belgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)
Finansiranje / projekti:
- Primena rezultata naprednog razvoja prostornih struktura u oblasti 3D transformacija, konstruisanja, novih materijala - Simprolita i tehnologija (RS-MESTD-MPN2006-2010-16009)
Napomena:
- http://mongeometrija.com/media/mongeometrija/2010/moNGeometrija%202010%20-%20PAGINACIJA.pdf
Kolekcije
Institucija/grupa
GraFarTY - CONF AU - Petrović, Maja AU - Obradović, Marija PY - 2010 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2050 AB - Hügelschäffer’s construction, based on the distortion of the ellipse construction, provides an egg-shaped curve. This curve is a mixed cubic curve, the cubic hyperbolic parabola of type A. Curve is a three-branched and except the oval arising from mentioned construction, it contains two more branches which converge towards two asymptotes: one linear and one parabolic asymptote. Since the Hügelschäffer’s construction does not give a solution for this part of the curve, we discussed the possibility of amendments to this construction, so that the entire course of the curve could be graphically processed. We came to a solution using Cartesian hyperbole complementary to the circles from Hügelschäffer’s construction. PB - Belgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG) C3 - PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010 T1 - The Complement of the Hugelschaffer’s Construction of the Egg Curve EP - 530 SP - 520 UR - https://hdl.handle.net/21.15107/rcub_grafar_2050 ER -
@conference{ author = "Petrović, Maja and Obradović, Marija", year = "2010", abstract = "Hügelschäffer’s construction, based on the distortion of the ellipse construction, provides an egg-shaped curve. This curve is a mixed cubic curve, the cubic hyperbolic parabola of type A. Curve is a three-branched and except the oval arising from mentioned construction, it contains two more branches which converge towards two asymptotes: one linear and one parabolic asymptote. Since the Hügelschäffer’s construction does not give a solution for this part of the curve, we discussed the possibility of amendments to this construction, so that the entire course of the curve could be graphically processed. We came to a solution using Cartesian hyperbole complementary to the circles from Hügelschäffer’s construction.", publisher = "Belgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)", journal = "PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010", title = "The Complement of the Hugelschaffer’s Construction of the Egg Curve", pages = "530-520", url = "https://hdl.handle.net/21.15107/rcub_grafar_2050" }
Petrović, M.,& Obradović, M.. (2010). The Complement of the Hugelschaffer’s Construction of the Egg Curve. in PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010 Belgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)., 520-530. https://hdl.handle.net/21.15107/rcub_grafar_2050
Petrović M, Obradović M. The Complement of the Hugelschaffer’s Construction of the Egg Curve. in PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010. 2010;:520-530. https://hdl.handle.net/21.15107/rcub_grafar_2050 .
Petrović, Maja, Obradović, Marija, "The Complement of the Hugelschaffer’s Construction of the Egg Curve" in PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010 (2010):520-530, https://hdl.handle.net/21.15107/rcub_grafar_2050 .