PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem
Por um escritor misterioso
Last updated 05 julho 2024
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://d3i71xaburhd42.cloudfront.net/40890436b6511a579be57c676d175ebbd8293125/1-Table1-1.png)
In this paper we provide a new parametrization for the diophantine equation $A^2+B^2+C^2=3D^2$ and give a series of corollaries. We discuss some connections with Lagrange's four-square theorem. As applications, we find new parameterizations of equilateral triangles and regular tetrahedrons having integer coordinates in three dimensions.
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![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://i1.rgstatic.net/publication/316584839_New_parametrization_of_A2_B2_C2_3D2_and_langrange's_four-square_theorem/links/5a09951daca272d7630d9d3f/largepreview.png)
PDF) New parametrization of A2 + B2 + C2 = 3D2 and langrange's
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://www.pnas.org/cms/asset/b7390c9e-15f0-4d4a-b5a5-0533f127a080/keyimage.jpg)
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![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://i1.rgstatic.net/publication/268748215_New_parametrization_of_A2B2C23D2_and_Lagrange's_four-square_theorem/links/547fd3bf0cf250f1edbfa78d/largepreview.png)
PDF) New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four
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