Indonesian Journal of Physics (IJP)
Vol 26 No 2 (2015): Vol. 26 No. 2, December 2015

The Constructions of Egg-Shaped Surface Equations using Hugelschaffer’s Egg-Shaped Curve

Ahmat Rif’an Maulana (Department of Mathematics, Faculty of Mathematics and Natural Sciences Sepuluh Nopember Institute of Technology Kampus ITS, Keputih, Sukolilo-Surabaya 60111, Indonesia)
Mahmud Yunus (Department of Mathematics, Faculty of Mathematics and Natural Sciences Sepuluh Nopember Institute of Technology Kampus ITS, Keputih, Sukolilo-Surabaya 60111, Indonesia)
Dwi Ratna Sulistyaningrum (Department of Mathematics, Faculty of Mathematics and Natural Sciences Sepuluh Nopember Institute of Technology Kampus ITS, Keputih, Sukolilo-Surabaya 60111, Indonesia)



Article Info

Publish Date
29 Dec 2015

Abstract

Hugelschaffer’s egg-shaped curve is egg-shaped curve that is constructed by two non-concentric circles using Newton’s transformation known as hyperbolism. This study has goals to construct the egg-shaped surface equations using Hugelschafer’s egg-shaped curve that is rotated on x-axis, y-axis and z-axis; to get the volume formula of the egg-shaped solid and the egg-shaped surface area and also to visualize the egg-shaped surface equations using GeoGebra. Hugelschaffer’s egg-shaped curve is selected because its equation is simple. The procedures of the construction of the egg-shaped surface equations are done by drawing the curve on xy-plane and xz-plane, then it is rotated on axes of the coordinate. Whereas, the volume formula of the egg-shaped solid is gotten by using the disk method of the volume integral. The egg-shaped surface area is attained by using the integral of surface area. Visualisation of the egg-shaped surface equations are done by choosing vary of parameter values of the equations that aims to know the effect of the parameter values with the shaped surface.

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Journal Info

Abbrev

ijp

Publisher

Subject

Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

Description

Indonesian Journal of Physics welcomes full research articles in the area of Sciences and Engineering from the following subject areas: Physics, Mathematics, Astronomy, Mechanical Engineering, Civil and Structural Engineering, Chemical Engineering, Electrical Engineering, Geotechnical Engineering, ...