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The Complement of the Hugelschaffer’s Construction of the Egg Curve

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2010
THE COMPLEMENT OF THE HUGELSCHAFFERS CONSTRUCTION OF THE EGG CURVE (518.1Kb)
Authors
Petrović, Maja
Obradović, Marija
Contributors
Nestorović, Miodrag
Conference object (Published version)
,
Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)
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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.
Keywords:
Hügelschäffer’s construction / egg curve / asymptote / circle / hyperbola
Source:
PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010, 2010, 520-530
Publisher:
  • Belgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)
Projects:
  • Primena rezultata naprednog razvoja prostornih struktura u oblasti 3D transformacija, konstruisanja, novih materijala - Simprolita i tehnologija (RS-16009)
Note:
  • http://mongeometrija.com/media/mongeometrija/2010/moNGeometrija%202010%20-%20PAGINACIJA.pdf

ISBN: 978-86-7924-038-5

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URI
http://grafar.grf.bg.ac.rs/handle/123456789/2050
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  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
  • Катедра за техничку механику и теорију конструкција
Institution
GraFar

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