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All Journal Jurnal Sains dan Seni ITS Journal of ICT Research and Applications International Journal of Computing Science and Applied Mathematics Abdimas: Jurnal Pengabdian Masyarakat Universitas Merdeka Malang Indonesian Journal of Physics (IJP) Sewagati
Dwi Ratna Sulistyaningrum
Departemen Matematika, Fakultas Matematka, Komputasi Dan Sains Data, Institut Teknologi Sepuluh Nopember (ITS)
Arts Humanities Astronomy Computer Science & IT Earth & Planetary Sciences Education Electrical & Electronics Engineering Energy Engineering Mathematics Social Sciences

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Journal : Indonesian Journal of Physics (IJP)

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The Constructions of Egg-Shaped Surface Equations using Hugelschaffer’s Egg-Shaped Curve Ahmat Rif’an Maulana; Mahmud Yunus; Dwi Ratna Sulistyaningrum
Indonesian Journal of Physics Vol 26 No 2 (2015): Vol. 26 No. 2, December 2015
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1408.681 KB) | DOI: 10.5614/itb.ijp.2015.26.2.2

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.
Co-Authors Ahmat Rif’an Maulana Arif, Didik Khusnul Bandung Arry Sanjoyo Bandung Arry Sanjoyo Budi Setiyono Budi Setiyono Didik Khusnul Arif Didik Khusnul Arif Dinda Ulima Rizky Yani Isi Bifawa’idati Lukitosari, Valeriana Lukman Hanafi Luthfiana Ratnawati Mauridhi Hery Purnomo Mochamad Hariadi Saskia Rizkiana Putri Siti Khotijah Soetrisno Soetrisno Utomo, Daryono Budi Valeriana Lukitosari Valeriana Lukitosari Yudah Mulia Nanang Sukabhakti Yunus, Mahmud