Metric Matrix in Barycentric Coordinates
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910935530078208 |
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| author | Feng, Xi |
| author_facet | Feng, Xi |
| contents | In this paper, the concept of the metric matrix is introduced to establish a concise and unified formulation for the inner product in barycentric coordinates. Building on this framework, we explore the intrinsic algebraic identities of barycentric coordinates and their direct correspondence with geometric theorems. Through this approach, we derive a series of novel results and provide new proofs for several classical theorems in triangle geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Metric Matrix in Barycentric Coordinates Feng, Xi General Mathematics In this paper, the concept of the metric matrix is introduced to establish a concise and unified formulation for the inner product in barycentric coordinates. Building on this framework, we explore the intrinsic algebraic identities of barycentric coordinates and their direct correspondence with geometric theorems. Through this approach, we derive a series of novel results and provide new proofs for several classical theorems in triangle geometry. |
| title | Metric Matrix in Barycentric Coordinates |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2505.06235 |