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Relevant bibliographies by topics / Brianchon's theorem

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Academic literature on the topic 'Brianchon's theorem'

Author: Grafiati

Published: 4 June 2021

Last updated: 27 April 2022

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Journal articles on the topic "Brianchon's theorem"

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Tupan, Alexandru. "Inellipses of Convex Polygons, Brianchon’s Theorem, and Bradley’s Theorem." American Mathematical Monthly 129, no. 1 (2021): 4–23. http://dx.doi.org/10.1080/00029890.2022.1993722.

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Agapito, J. "Weighted Brianchon-Gram Decomposition." Canadian Mathematical Bulletin 49, no. 2 (2006): 161–69. http://dx.doi.org/10.4153/cmb-2006-017-x.

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AbstractWe give in this note a weighted version of Brianchon and Gram's decomposition for a simple polytope. We can derive from this decomposition the weighted polar formula of Agapito and a weighted version of Brion's theorem, in a manner similar to Haase, where the unweighted case is worked out. This weighted version of Brianchon and Gram's decomposition is a direct consequence of the ordinary Brianchon–Gram formula.

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3

Brown, Adam. "87.81 A connection between Brianchon’s theorem and the seven circles theorem." Mathematical Gazette 87, no. 510 (2003): 569–72. http://dx.doi.org/10.1017/s0025557200173966.

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4

Odani, Kenzi, and Shihomi Takase. "83.51 On a Theorem of Brianchon and Poncelet." Mathematical Gazette 83, no. 498 (1999): 483. http://dx.doi.org/10.2307/3620962.

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5

D. SUCEAVA, BOGDAN. "The fruit of the meditations of a young Lieutenant of the Engineers: A Theorem of Major Impact and Its Applications. Two Centuries from the Discovery of the Nine-Point Circle." Creative Mathematics and Informatics 30, no. 1 (2021): 107–14. http://dx.doi.org/10.37193/cmi.2021.01.13.

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The Nine-Point Circle Theorem was first obtained in a joint work written by C.-J. Brianchon and J.-V. Poncelet. Since the authors of this Theorem presented it in their original work as a principle in geometry, we are invited to reflect whether there are some direct applications of this Theorem in advanced Euclidean geometry. Our exploration only confirms the original authors’ foretelling intuition, since un nouveau principe à la géométrie élémentaire is expected to admit applications. We regard the Nine-Point Circle Theorem in the overall context of the history of ideas and, pursuing Philip Da

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Графский and O. Grafskiy. "On the Interconnection of a Range and the Second-Order Cluster." Geometry & Graphics 4, no. 2 (2016): 8–18. http://dx.doi.org/10.12737/19828.

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In accordance with “Specialized sections of affine, projective and computational geometry” syllabus for Master’s degree program in “Multimedia systems and computer graphics” developed at the Far Eastern State Transport University, the subject “Projective theory of the second-order curves” is considered [4; 14; 18]. Both at the sources mentioned and the textbook [11] projective method of the second-order curves formation as a range of the second order and its dual form – a second-order cluster (with regard to well-known theorems and relations, including

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Dissertations / Theses on the topic "Brianchon's theorem"

1

MIFKOVÁ, Žaneta. "Sbírka příkladů na téma kuželosečky." Master's thesis, 2015. http://www.nusl.cz/ntk/nusl-189347.

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Diploma thesis deals especially with practical examples on the topic of conics. It is divided into two parts. The first part includes chapters with examples on the topics discussed in the course Geometry I. In the second part affine properties of conics, which can be used in construction tasks, Pascal's theorem and Brianchon's theorem and their use are mentioned. The aim of this thesis is to ilustrate the conics on typical examples for those interested and then to show them the interesting properties, for which there is no space in the course Geometry I.

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MÍKOVÁ, Lucie. "Vybrané problémy z planimetrie." Master's thesis, 2017. http://www.nusl.cz/ntk/nusl-381442.

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This diploma thesis is focused on Selected problems in planimetry. The aim of this diploma thesis is description not only planimetric problems and their verification in a dynamic mathematical program GeoGebra, but also presentation of the author after whom it is called. The thesis is illustrated with pictures, which can help the reader to understand the problem and verification. This thesis can be used as a supplement the curriculum in secondary schools, where using dynamic program GeoGebra and subsequent verification may reach a better understanding of the topic.

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