Modification of the Japanese Theorem on Heptagon

Nonong Wahyuni; Mashadi; Sri Gemawati

doi:https://doi.org/10.14445/22315373/IJMTT-V68I6P526

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P526

Modification of the Japanese Theorem on Heptagon

Nonong Wahyuni, Mashadi, Sri Gemawati

Received	Revised	Accepted	Published
27 May 2022	04 Jul 2022	07 Jul 2022	14 Jul 2022

Citation :

Nonong Wahyuni, Mashadi, Sri Gemawati, "Modification of the Japanese Theorem on Heptagon," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 205-210, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P526

Abstract

This article discusses the modification of the Japanese on Heptagon. The proof is done using Carnot’s Theorem, the modification of Ptolemy’s Theorem, and the Japanese Theorem. The result obtained is the proof using Carnot;s Theorem is more effective. So, the sum of the radius length of the incircle of the triangles with diagonal lines formed from all points is the same.

Keywords

Japanese Theorem, Carnot’s Theorem, modification of Ptolemy’s Theorem.

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