Article Per Year (5 Year)
p-Index From 2021 - 2026
6.648
P-Index
This Author published in this journals
All Journal Jurnal Pendidikan dan Pembelajaran Khatulistiwa (JPPK) Jurnal Entropi CAUCHY: Jurnal Matematika Murni dan Aplikasi Paradikma: Jurnal Pendidikan Matematika Jurnal Pendidikan Matematika RAFA Jurnal Edukasi Matematika dan Sains NUMERICAL (Jurnal Matematika dan Pendidikan Matematika) BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Cendekia : Jurnal Pendidikan Matematika JURNAL MathEdu (Mathematic Education Journal) Jambura Journal of Mathematics Jambura Journal of Educational Chemistry Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam Laplace : Jurnal Pendidikan Matematika International Journal for Educational and Vocational Studies Jurnal Matematika UNAND ALGORITMA : Journal of Mathematics Education Lentera Sriwijaya : Jurnal Ilmiah Pendidikan Matematika MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jambura Journal of Mathematics Education JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Mosharafa: Jurnal Pendidikan Matematika Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Griya Journal of Mathematics Education and Application Jurnal Kajian Pembelajaran dan Keilmuan MATHunesa: Jurnal Ilmiah Matematika Indonesian Journal of Research and Educational Review (IJRER) Research in the Mathematical and Natural Sciences Lemma: Letters of Mathematics Education Journal of Mathematics, Computation and Statistics (JMATHCOS) Jurnal Didaktik Matematika
Sumarno Ismail
Universitas Negeri Gorontalo
Religion Arts Humanities Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

Published : 60 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search
Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

 1 
Reformulation and Generalization Of Van Aubel's Theorem Using Complex Variables Laiya, Gusti Hari Fajar; Asriadi, Asriadi; Achmad, Novianita; Ismail, Sumarno; Nurwan, Nurwan
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9051

Abstract

This research aims to reformulate and generalize Van Aubel’s Theorem using a complex number approach. Classically, Van Aubel’s Theorem states that if squares are constructed externally on the sides of an arbitrary quadrilateral, then the line segments connecting the centers of opposite squares are congruent and perpendicular to each other. Through a complex algebra approach, this research systematically reconstructs the proof of the theorem and extends its application to more complex geometric forms. The representation of points, rotations, and lines in the complex plane is employed to reprove and develop generalizations of the theorem. The results demonstrate that the use of complex numbers facilitates geometric analysis and reveals new patterns in geometric relationships. This research contributes to the advancement of modern geometry through algebraic methods and opens opportunities for further exploration of complex numbers in solving other geometric problems.
Co-Authors Abas Kaluku Abdul D. Mohidin Abdul Djabar Mohidin Abdul Wahab Abdullah Abdul Wahab Abdullah Agus Humalanggi Amalia Tatu Antu, Isra Arianto A. Diu Asriadi Asriadi Bakari, Magfirah Bempah, Haryati Octaviani Bertu Rianto Takaendengan Daaliuwa, Ica Pratika Dali, Sri Maulana Delvin Safitri Handriani Dewi Rahmawati Isa Dewi Rahmawati Isa Dewi Rahmawaty Isa Deya Ismail Uwange Evi Hulukati Franky Alfrits Oroh Fuzi Sandra Talibo Ginoga, Herlianti Putri Gombah, Wimansya Harun, Artika Rahayu Hasan, Regina Trichianitha Salchabila Hasan, Yulia Agustina Hayatun Napsia R. Tangahu Hulinggi, Rizkandar Adi Raksa M Ibrahim, Faisal Igirisa, Shendy S Indrawati Lihawa Ismail Djakaria Ismail, Sofriyanto Isran K Hasan Jusuf, Nurul Fatwa Anbiya Kartin Usman Kasim, Angelia Wahyuni Khaerani Khaerani Khairun Nisa Humolungo Kiayi, Fuji Fauzia Kobandaha, Putri Ekawaty Kumaralo, Asti Ananta Lailany Yahya Laiya, Gusti Hari Fajar Lasulika, Anisa Magfirah Bakari Mahmud, Sri Lestari Majid, Majid Mamonto, Putri Yanti Martya, Ananda Masna Masna, Masna Mohamad, Yulistia Muh Rizal Kidjab Nadila Nurfariza Tahir Nancy Katili NISKY IMANSYAH YAHYA Noho, Andi D Nursiya Bito Nurwan Nurwan Nurwan, Nurwan Pauweni, Khardiyawan Pauweni, Khardiyawan A.Y. Perry Zakaria Pikoli, Santi Pradita Unonongo Putri Utami Suseno Rajak, Nur Andraini RAJAK, SANDIKA S. Resmawan Resmawan Rif’at, Nazmi Rosdiana Halid Rufianti Salmun K. Nasib Sarson W DJ Pomalato Sigar, Tesya Sitti Khadijah Sri Wahyuni Rauf Sri Yelinda Tama Sule, Sri Meylana Syamsu Qomar Badu Taki, Febriani Talib Idrus Tayeb, Rahmatillah M. Dj. Tedy Machmud Ukhti Nurfajriah Sasmita Ijonu Yamin Ismail Yantu, Miranda A.H YUSUF FUAD Yusuf, Anita Angraini Yusuf, Putria