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Cited by 3Mathematics and ApplicationsPolynomial and algebraic computationComputational Geometry and Mesh Generation

The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.

A Method for the Automated Discovery of Angle Theorems

Open access
Todd, Philip·2021·Electronic Proceedings in Theoretical Computer Science
DOI 10.4204/eptcs.352.17
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Abstract

The Naive Angle Method, used by Geometry Expressions for solving problems which involve only angle constraints, represents a geometrical configuration as a sparse linear system. Linear systems with the same underlying matrix structure underpin a number of different geometrical theorems. We use a graph theoretical approach to define a generalization of the matrix structure.

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Cites

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Figures

Figure 1 : Figure 1: Two theorems which share the same matrix
Figure 1 : Figure 1: Two theorems which share the same matrixCC-BY-NC-ND · From the PDF
Figure 2 : Figure 2: Two theorems whose matrices have non-zero elements in the same locations, but which are not identical
Figure 2 : Figure 2: Two theorems whose matrices have non-zero elements in the same locations, but which are not identicalCC-BY-NC-ND · From the PDF
Figure 4 : Figure 4: A Theorem Corresponding to a generated matrix. ABC is a triangle E and D lie on sides BC and AC such that ABED is cyclic. G is on AC such that |AB| = |BG|. H is the intersection of BG and DE. Then C, E, H, G are cyclic.
Figure 4 : Figure 4: A Theorem Corresponding to a generated matrix. ABC is a triangle E and D lie on sides BC and AC such that ABED is cyclic. G is on AC such that |AB| = |BG|. H is the intersection of BG and DE. Then C, E, H, G are cyclic.CC-BY-NC-ND · From the PDF

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Research works printed but not linked: 2

  1. 10.1007/978-3-319-99956-2-15 · doi:10.1007/978-3-319-99956-2-15
  2. 10.1007/978-3-319-99956-2_10 · doi:10.1007/978-3-319-99956-2_10

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Metadata

Authors
Todd, P.
Affiliations
Saltire Software (United States) (US)
Corresponding author
Todd, Philip
ORCID
Todd, Philip
Venue
Electronic Proceedings in Theoretical Computer Science
Publisher
Open Publishing Association
Published
2021-12-30
Volume
352
Pages
148-155
ISSN
2075-2180 (ISSN-L)
DOI
10.4204/eptcs.352.17
OpenAlex
W4200017213
Cited by
3
References
7
Citations by year
2026: 1 · 2024: 2
FWCI
0.70
Type
journal article
Language
en
Open access
Licence
cc-by-nc-nd
Locations
  • Electronic Proceedings in Theoretical Computer Science (publishedVersion, cc-by-nc-nd)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Mathematics › Geometry and Topology › Mathematics and Applications
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Polynomial and algebraic computation
  • Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › Computational Geometry and Mesh Generation
Keywords
geometry theorem proving, sparse linear systems, graph theory, angle constraints

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CoChat. (2026). Citation check: A Method for the Automated Discovery of Angle Theorems. https://app.cochat.ai/papers/10.4204/eptcs.352.17
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Todd, P. (2021). A Method for the Automated Discovery of Angle Theorems. Electronic Proceedings in Theoretical Computer Science. https://doi.org/10.4204/eptcs.352.17

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