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Relevant bibliographies by topics / Apollonius's problem

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Academic literature on the topic 'Apollonius's problem'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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Journal articles on the topic "Apollonius's problem"

1

Волошинов, Д., and Denis Voloshinov. "Visual-Graphic Design of a Unitary Constructive Model to Solve Analogues For Apollonius Problem Taking into Account Imaginary Geometric Images." Geometry & Graphics 6, no. 2 (2018): 23–46. http://dx.doi.org/10.12737/article_5b559c70becf44.21848537.

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The Apollonius problem on construction of circles, tangent to three arbitrary given circles of a plane, is one of classical geometry’s well-studied problems. The presented paper’s materials are directed at development a unified theory for Apollonius problem solving, taking into account it’s not only real, but also invisible complex-valued images. In the paper it has been demonstrated, that fundamental geometric structures, on which Apollonius problem is based on, are applicable not only to real, but also to complex-valued data, that makes possible to eliminate many exceptions, currently existi

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2

Ripco Sipos, Elvira. "Apollonius' problems in grammar school." Teaching Mathematics and Computer Science 7, no. 1 (2009): 69–85. http://dx.doi.org/10.5485/tmcs.2009.0205.

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Kunkel, Paul. "The tangency problem of Apollonius: three looks." BSHM Bulletin: Journal of the British Society for the History of Mathematics 22, no. 1 (2007): 34–46. http://dx.doi.org/10.1080/17498430601148911.

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Schroth, Andreas E. "The apollonius problem in flat laguerre planes." Journal of Geometry 42, no. 1-2 (1991): 141–47. http://dx.doi.org/10.1007/bf01231874.

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Berger, André, Alexander Grigoriev, Artem Panin, and Andrej Winokurow. "Location, pricing and the problem of Apollonius." Optimization Letters 11, no. 8 (2017): 1797–805. http://dx.doi.org/10.1007/s11590-017-1159-0.

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White, Heather. "Textual Problems in Apollonius Rhodius' Argonautica." L'antiquité classique 61, no. 1 (1992): 135–57. http://dx.doi.org/10.3406/antiq.1992.1136.

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Santos-Trigo, Manuel, Fernando Barrera-Mora, and Matías Camacho-Machín. "Teachers’ Use of Technology Affordances to Contextualize and Dynamically Enrich and Extend Mathematical Problem-Solving Strategies." Mathematics 9, no. 8 (2021): 793. http://dx.doi.org/10.3390/math9080793.

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This study aims to document the extent to which the use of digital technology enhances and extends high school teachers’ problem-solving strategies when framing their teaching scenarios. The participants systematically relied on online developments such as Wikipedia to contextualize problem statements or to review involved concepts. Likewise, they activated GeoGebra’s affordances to construct and explore dynamic models of tasks. The Apollonius problem is used to illustrate and discuss how the participants contextualized the task and relied on technology affordances to construct and explore pro

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Atherton, Catherine. "Apollonius Dyscolus and the ambiguity of ambiguity." Classical Quarterly 45, no. 2 (1995): 441–73. http://dx.doi.org/10.1017/s0009838800043512.

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Apollonius Dyscolus’ use of ambiguity in grammatical problem-solving has in recent years had the benefit of two scholarly studies. David Blank, in the course of his analysis of the Syntax as a whole (1982), has described the broad functions which Apollonius assigns to ambiguity. Jean Lallot's 1988 paper, ‘Apollonius Dyscole et l'ambigüité linguistique: problemes et solutions’, is devoted exclusively to the treatment of linguistic ambiguity in Apollonius’ work. Yet it is to be feared that the flood of light thrown by these scholars on what had been an unregarded corner of ancient grammar has sh

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Hoshen, J. "The GPS equations and the Problem of Apollonius." IEEE Transactions on Aerospace and Electronic Systems 32, no. 3 (1996): 1116–24. http://dx.doi.org/10.1109/7.532270.

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Knight, Robert D. "The Apollonius contact problem and Lie contact geometry." Journal of Geometry 83, no. 1-2 (2005): 137–52. http://dx.doi.org/10.1007/s00022-005-0009-x.

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Dissertations / Theses on the topic "Apollonius's problem"

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BERKOWITZ, GARY CHARLES. "NARRATIVE PROBLEMS IN APOLLONIUS' ARGONAUTICA." University of Cincinnati / OhioLINK, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1025633098.

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Melo, Alysson Espedito de. "Soluções Geométrica e Algébrica do Problema de Apolônio." Universidade Federal da Paraíba, 2015. http://tede.biblioteca.ufpb.br:8080/handle/tede/7519.

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Submitted by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-10-15T13:21:41Z No. of bitstreams: 1 arquivototal.pdf: 1372611 bytes, checksum: 18883b7d19f6cce33b3e6ef02355d9e6 (MD5)<br>Approved for entry into archive by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-10-15T13:44:29Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 1372611 bytes, checksum: 18883b7d19f6cce33b3e6ef02355d9e6 (MD5)<br>Made available in DSpace on 2015-10-15T13:44:29Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1372611 bytes, checksum: 18883b7d19f6cce33b3e6ef02355d9e6 (MD5) Previous issue dat

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Vieira, Mariana Araújo. "Construções geométricas e os problemas de apolônio." Universidade Federal de Goiás, 2013. http://repositorio.bc.ufg.br/tede/handle/tede/3128.

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Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2014-09-23T12:11:15Z No. of bitstreams: 2 Vieira, Mariana Araujo.pdf: 2336552 bytes, checksum: a3cdecc71ec9fe00f17a840ededdcce2 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2014-09-23T15:10:25Z (GMT) No. of bitstreams: 2 Vieira, Mariana Araujo.pdf: 2336552 bytes, checksum: a3cdecc71ec9fe00f17a840ededdcce2 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Made available in DSpace on 2014-09-23T1

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Sousa, Cristiano Benevides de. "Inversão Geométrica Aplicada à Resolução dos Problemas de Apolônio." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7570.

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Submitted by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-11-09T15:46:19Z No. of bitstreams: 1 arquivototal.pdf: 1967459 bytes, checksum: a691ca832c8c32056bec4fdb8b24f47a (MD5)<br>Approved for entry into archive by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-11-10T11:33:54Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 1967459 bytes, checksum: a691ca832c8c32056bec4fdb8b24f47a (MD5)<br>Made available in DSpace on 2015-11-10T11:33:54Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1967459 bytes, checksum: a691ca832c8c32056bec4fdb8b24f47a (MD5) Previous issue date: 2014-0

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Souza, Oertes Alves. "Problemas de Apolônio." reponame:Repositório Institucional da UFABC, 2014.

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Orientador: Prof. Dr. Márcio Fabiano da Silva<br>Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, 2014.<br>Inspirado em um capítulo do Livro de I. M. Yaglom [7], neste trabalho estudaremos a geometria inversiva a m de resolver alguns dos antigos problemas de Apolônio de Pérgamo, apenas com o uso de régua e compasso ou com o auxílio de um software de geometria dinâmica.<br>Based on the work of I. M. Yaglom [7], in this work we study the inversive geometry to solve some old problems of Apollonius of

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Maronne, Sebastien. "La théorie des courbes et des équations dans la Géométrie cartésienne : 1637-1661. [version corrigée]." Phd thesis, Université Paris-Diderot - Paris VII, 2007. http://tel.archives-ouvertes.fr/tel-00203094.

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Dans cette thèse, nous étudions trois thèmes qui nous sont apparus centraux dans la Géométrie cartésienne : le problème de Pappus, le problème des tangentes et des normales, et un problème de gnomonique connu sous le nom de Problema Astronomicum. Par " Géométrie cartésienne ", nous entendons le corpus formé non seulement par la Géométrie, publiée en 1637, mais également par la Correspondance cartésienne et les deux éditions latines placées sous la direction de Frans van Schooten, publiées respectivement en 1649 et 1659-1661. Nous étudions la genèse de la théorie des courbes géométriques défini

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Maronne, Sebastien. "La théorie des courbes et des équations dans la Géométrie cartésienne : 1637-1661. [version déposée]." Phd thesis, Université Paris-Diderot - Paris VII, 2007. http://tel.archives-ouvertes.fr/tel-00204125.

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Dans cette thèse, nous étudions trois thèmes qui nous sont apparus centraux dans la Géométrie cartésienne : le problème de Pappus, le problème des tangentes et des normales, et un problème de gnomonique connu sous le nom de Problema Astronomicum. Par " Géométrie cartésienne ", nous entendons le corpus formé non seulement par la Géométrie, publiée en 1637, mais également par la Correspondance cartésienne et les deux éditions latines placées sous la direction de Frans van Schooten, publiées respectivement en 1649 et 1659-1661. Nous étudions la genèse de la théorie des courbes géométriques défini

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8

Fabián, Tomáš. "Algebraické křivky v historii a ve škole." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-346770.

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TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three i

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Fabián, Tomáš. "Algebraické křivky v historii a ve škole." Master's thesis, 2015. http://www.nusl.cz/ntk/nusl-349422.

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TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three i

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Books on the topic "Apollonius's problem"

1

Vladimirovich, Habelashvili Albert. Problem by Apollonius from Perga. A.V. Habelashvili, 1994.

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Book chapters on the topic "Apollonius's problem"

1

Khabelashvili, Albert V. "Problem by Apollonius of Perga." In Studies in History of Mathematics Dedicated to A.P. Youschkevitch. Brepols Publishers, 2002. http://dx.doi.org/10.1484/m.dda-eb.4.01009.

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Kim, Deok-Soo, Donguk Kim, Kokichi Sugihara, and Joonghyun Ryu. "Apollonius Tenth Problem as a Point Location Problem." In Computational Science — ICCS 2001. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45545-0_84.

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3

Berger, André, Alexander Grigoriev, Artem Panin, and Andrej Winokurow. "Location, Pricing and the Problem of Apollonius." In Discrete Optimization and Operations Research. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44914-2_44.

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Luther, Irina. "The solution of Apollonius' problem in the Medieval Arab East." In Science and Technology in the Islamic World. Brepols Publishers, 2002. http://dx.doi.org/10.1484/m.dda-eb.4.00503.

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Garnier, L., J. P. Bécar, L. Druoton, L. Fuchs, and G. Morin. "Minkowski-Lorentz Spaces Applications: Resolution of Apollonius and Dupin Problems." In Encyclopedia of Computer Graphics and Games. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-08234-9_381-1.

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6

Fried, Michael N. "Apollonius of Perga’s on Conics: Book Eight Restored or the Book on Determinate Problems Conjectured." In Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0146-9_7.

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7

Sevici, Constantin A. "SOLVING THE PROBLEM OF APOLLONIUS AND OTHER RELATED PROBLEMS." In Graphics Gems III (IBM Version). Elsevier, 1992. http://dx.doi.org/10.1016/b978-0-08-050755-2.50046-4.

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8

"Folklore Versus Fakelore: Some Problems In The Life Of Apollonius." In Theios Sophistès. BRILL, 2009. http://dx.doi.org/10.1163/ej.9789004171091.i-408.47.

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9

"6. Problème de détermination de certains éléments liés à la section conique." In Apollonius de Perge, Coniques - Tome 2.1: Livres II et III. Commentaire historique et mathématique, édition et traduction du texte arabe, edited by Roshdi Rashed, Micheline Decorps-Foulquier, and Michel Federspiel. DE GRUYTER, 2010. http://dx.doi.org/10.1515/9783110217162.1.66.

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Conference papers on the topic "Apollonius's problem"

1

Nocar, David, Radka Dofková, and Květoslav Bártek. "APOLLONIUS’ PROBLEM LLC AT HIGH SCHOOL USING ICT." In 13th annual International Conference of Education, Research and Innovation. IATED, 2020. http://dx.doi.org/10.21125/iceri.2020.0595.

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Nocar, David, and Radka Dofková. "APOLLONIUS’ PROBLEMS IN SECONDARY EDUCATION USING ICT." In 12th International Conference on Education and New Learning Technologies. IATED, 2020. http://dx.doi.org/10.21125/edulearn.2020.0998.

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Xu, Hai-Yin, and Xiongbing Fang. "An extension of Kim's algorithm for Apollonius tenth problem." In 2012 IEEE International Conference on Computer Science and Automation Engineering (CSAE). IEEE, 2012. http://dx.doi.org/10.1109/csae.2012.6272920.

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Nocar, David, Jiří Vaško, and Tomáš Zdráhal. "APOLLONIUS’ PROBLEM PPL AND PPC AT HIGH SCHOOL USING ICT." In 13th International Conference on Education and New Learning Technologies. IATED, 2021. http://dx.doi.org/10.21125/edulearn.2021.1887.

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