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All Journal Jurnal Absis : Jurnal Pendidikan Matematika dan Matematika
Okta Dinata
UIN Sultan Syarif Kasim Riau
Mathematics

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Pengembangan Titik Miquel Dalam Pada Sebarang Segilima Zukrianto; Okta Dinata; Mohammad Soleh; Ade Novia Rahma; Rahmawati
Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika Vol. 3 No. 2 (2021): Jurnal Absis
Publisher : Program Studi Pendidikan Matematika Universitas Pasir Pengaraian

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30606/absis.v3i2.746

Abstract

The Miquel theorem is a theorem that applies to a triangle, namely the inner Miquel theorem and the outer Miquel theorem triangles—then developed on the quadrilateral. As of this writing, it is developed in any of the pentagons. Miquel's theorem development in any pentagon is divided into two cases, namely in the convex and non-convex pentagons. This process begins with the construction of the inner Miquel point in any triangle using the GeoGebra application. While proving the internal Miquel theorem for any pentagon uses a simple concept, namely the concept of circles and cyclic rectangles so that five circles intersect at a point called the inner Miquel point at any pentagon.
Co-Authors Ade Novia Rahma Mohammad Soleh Rahmawati Zukrianto