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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.15918 |
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Table of Contents:
- This paper explores and proves the one-seventh area triangle using a purely algebraic approach as opposed to a geometric one. A triangle set purely in the complex plane is used so that we can utilise features of the complex number system to determine areas. The area of a triangle in determinant form is derived using these features, and a rigorous proof of the one-seventh area triangle follows.