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All Journal KALAMATIKA Jurnal Pendidikan Matematika JURNAL PENGABDIAN KEPADA MASYARAKAT Prima: Jurnal Pendidikan Matematika Jambura Journal of Mathematics KAIBON ABHINAYA : JURNAL PENGABDIAN MASYARAKAT MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Budapest International Research and Critics Institute-Journal (BIRCI-Journal): Humanities and Social Sciences Community Empowerment Seminar Nasional Peningkatan Mutu Pendidikan Dimensi Matematika : Jurnal Pendidikan dan Pembelajaran Matematika
Priyanda R
Universitas Samudra
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Journal : Jambura Journal of Mathematics

 1 
Sifat Preservasi Lingkaran dan Garis Pada Transformasi Möbius Priyanda R; Guntur Maulana Muhammad; Iden Rainal Ihsan; Roni Priyanda
Jambura Journal of Mathematics Vol 4, No 2: July 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1247.194 KB) | DOI: 10.34312/jjom.v4i2.13497

Abstract

This article discusses Möbius transformation from the point of view of algebra to describe one of its geometric properties, i.e. preserving circles and lines in complex planes. In simple terms, this preservation means that Möbius transformation maps a collection of circles and lines (back) into a collection of circles and lines. In general, the discussion begins with an explanation of the definition of the Möbius transformation in the complex plane. The discussion continues on defining the basic mapping and direct affine transformation. These two concepts are used to prove the existence of the preservation properties of circles and lines in the Möbius transformation. It can be shown that the Möbius transformation can be expressed as a composition of the direct affine transform and the inverse. It can also be shown that the direct affine transform and the inverse both have the property of preserving circles and lines in the complex plane. Thus, it can be concluded that in this study the Möbius transformation has the property of preserving circles and lines in the complex plane.
Co-Authors Elsha Br Sitorus Fadhelina N Fadhelina, Nishbah Fadilah Fadilah Fadilah Fadilah Fadilah, Fadilah Halomoan, T.H Hanafiah Hanafiah Herlina .M Iden Rainal Ihsan Mahmudah Mahmudah Mery D. C. H Miftahul Jannah Koto Muhammad Yakob Muhammad Zaki Muhammad, Guntur Maulana Munawir Munawir Nadia Nazira Novi, R A Nurfitriani Nurfitriani Nurul Fazilla Yannas Raihan Sriamilia Rainal .I. I Ratu Sarah Fauziah Iskandar Rina Andreyanti Risca Fratiwi Rizki Amalia Rizki Amalia Rizki Amalia Rizki Amalia Setyoko Setyoko Silfi Syahputri Sri Jayanthi Sri Utami Widyastuti Suryani Suryani Trisna Roy Pradipta