Zobrazeno 1 - 10 of 266 pro vyhledávání: '"Nguyen, Nicholas"'
1
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A Geometric Representation
Autor: Nguyen, Nicholas Phat
This article provides a geometric representation for the well-known isomorphism between the special orthogonal group of an isotropic quadratic space of dimension 3 and the group of projective transformations of a projective line. This geometric repre
Externí odkaz: http://arxiv.org/abs/2404.12661
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2
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Solvable Polynomials over the Gaussian Field Q(i)
Autor: Nguyen, Nicholas Phat
In this paper, we describe a congruence property of solvable polynomials with coefficients in the Gaussian field Q(i).
Comment: 11 pages (new version corrects some typos). arXiv admin note: text overlap with arXiv:2107.01270
Externí odkaz: http://arxiv.org/abs/2210.01960
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6
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A Congruence Property of Solvable Polynomials
Autor: Nguyen, Nicholas Phat
We describe a congruence property of solvable polynomials over Q, based on the irreducibility of cyclotomic polynomials over number fields that meet certain conditions.
Comment: 9 pages (minor corrections from prior version). arXiv admin note: s
Externí odkaz: http://arxiv.org/abs/2107.01270
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7
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Four Points and a Quadric
Autor: Nguyen, Nicholas Phat
This paper provides a new simple proof of Hesse's theorem in projective geometry for any dimension.
Comment: 7 pages, no figure
Externí odkaz: http://arxiv.org/abs/2001.10442
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8
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On Generalizations of the Butterfly Theorem
Autor: Nguyen, Nicholas Phat
This paper provides a uniform explanation of different extensions and generalizations of the butterfly theorem based on the Desargues involution theorem.
Comment: 8 pages, no figure
Externí odkaz: http://arxiv.org/abs/2001.07201
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9
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A Generalization of Desargues' Involution Theorem
Autor: Nguyen, Nicholas Phat
Publikováno v: Journal for Geometry and Graphics, Volume 24 (2020), No 1, 65-72
This paper states and proves a generalization of the well-known Desargues involution theorem from plane projective geometry.
Comment: 13 pages
Externí odkaz: http://arxiv.org/abs/1912.12200
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10
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The Triangle Altitudes Theorem in Hyperbolic Plane Geometry
Autor: Nguyen, Nicholas Phat
We provide a new formulation and proof of the triangle altitudes theorem in hyperbolic plane geometry, together with an easily computed discriminant to distinguish between different basic configurations of the altitudes of such a triangle.
Comme
Externí odkaz: http://arxiv.org/abs/1912.11707
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