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Relevant bibliographies by topics / The problem of Apollonius

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Academic literature on the topic 'The problem of Apollonius'

Author: Grafiati

Published: 24 April 2022

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Journal articles on the topic "The problem of Apollonius"

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

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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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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Schroth, Andreas E. "The Apollonius problem in four-dimensional Laguerre planes." Journal of Geometry 51, no. 1-2 (1994): 138–49. http://dx.doi.org/10.1007/bf01226863.

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Scheiber, Ernest. "v." SERIES III - MATEMATICS INFORMATICS PHYSICS 1(63), no. 2 (2022): 139–48. http://dx.doi.org/10.31926/but.mif.2021.1.63.2.12.

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In GeoGebra, the development method based on programming for geometry is exempli ed by solving some Apollonius problems. For each problem we review the method used to build a GeoGebra tool and we reproduce the code. Finally, we indicate findings to facilitate the use of this approach.

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Kim, Donguk, Deok-Soo Kim, and Kokichi Sugihara. "Apollonius tenth problem via radius adjustment and Möbius transformations." Computer-Aided Design 38, no. 1 (2006): 14–21. http://dx.doi.org/10.1016/j.cad.2005.04.003.

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Dissertations / Theses on the topic "The problem of Apollonius"

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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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Pietsch, Christian. "Die Argonautika des Apollonios von Rhodos : Untersuchungen zum Problem der einheitlichen Konzeption des Inhalts /." Stuttgart : F. Steiner, 1999. http://catalogue.bnf.fr/ark:/12148/cb370900544.

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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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7

DeForest, Mary. "Apollonius' "Argonautica" : a Callimachean epic /." Leiden : E. J. Brill, 1994. http://catalogue.bnf.fr/ark:/12148/cb36680528n.

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Berkowitz, Gary. "Semi-public narration in Apollonius' Argonautica /." Leuven ; Paris ; Dudley (Mass.) : Peeters, 2004. http://catalogue.bnf.fr/ark:/12148/cb39233620k.

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Seo, Joanne Mira. "Allusive characterization from Apollonius to Statius." [S.l. : s.n.], 2004. http://catalog.hathitrust.org/api/volumes/oclc/174205418.html.

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Barnes, Elizabeth. "Emotions in the Argonautica of Apollonius." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439295357.

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Books on the topic "The problem of Apollonius"

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

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2

Die Argonautika des Apollonios von Rhodos: Untersuchungen zum Problem der einheitlichen Konzeption des Inhalts. F. Steiner, 1999.

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3

Philostratus. Apollonius of Tyana. Harvard University Press, 2006.

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4

Apollonius of Tyana. Kessinger Pub. Comp., 1992.

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5

Jackson, Steven. Mainly Apollonius: Collected studies. Hakkert, 2005.

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6

Apollonius. Apollonius de Perge, Coniques. Walter de Gruyter, 2010.

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Decorps-Foulquier, Micheline, and Michel Federspiel, eds. Apollonius de Perge, Coniques. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110217230.

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8

Mainly Apollonius: Collected studies. Hakkert, 2004.

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9

DeForest, Mary Margolies. Apollonius' Argonautica: A Callimachean epic. E.J. Brill, 1994.

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10

Hunter, R. L. The Argonautica of Apollonius: Literary studies. Cambridge University Press, 2004.

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Book chapters on the topic "The problem of Apollonius"

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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Bonadeo, Cecilia Martini, Angela Guidi, Antonella Straface, et al. "Apollonius of Tyana." In Encyclopedia of Medieval Philosophy. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-1-4020-9729-4_32.

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8

Burnett, Charles. "Apollonius of Tyana." In Encyclopedia of Medieval Philosophy. Springer Netherlands, 2020. http://dx.doi.org/10.1007/978-94-024-1665-7_32.

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9

Winter, Thomas Nelson. "Apollonius of Perga." In Biographical Encyclopedia of Astronomers. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4419-9917-7_60.

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Keyser, Paul T. "Apollonius of Myndos." In Biographical Encyclopedia of Astronomers. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4419-9917-7_9220.

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Conference papers on the topic "The problem of Apollonius"

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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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2

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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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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Hoshen, J. "On the Apollonius solutions to the GPS equations." In 1999 IEEE Africon. 5th Africon Conference in Africa. IEEE, 1999. http://dx.doi.org/10.1109/afrcon.1999.820773.

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McLean, Alex, Frederic Fol Leymarie, and Geraint Wiggins. "Apollonius diagrams and the Representation of Sounds and Music." In 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007). IEEE, 2007. http://dx.doi.org/10.1109/isvd.2007.7.

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Song, Julong, Xiangjian He, and Zhenxian Lin. "Global Optimization under Nonlinear Constraints Based on Apollonius Fill." In Third International Conference on Natural Computation (ICNC 2007) Vol V. IEEE, 2007. http://dx.doi.org/10.1109/icnc.2007.405.

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Ates, Seda Habergoturen, Ertugrul Aksoy, Suleyman Kuzu, and Nursel Akcam. "Analysis of apollonius circles fractals as frequency selective surface." In 2017 18th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF). IEEE, 2017. http://dx.doi.org/10.1109/isef.2017.8090695.

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Xiao, Zhu, Tong Li, Wenchi Cheng, and Dong Wang. "Apollonius Circles Based Outbound Handover in Macro-Small Wireless Cellular Networks." In GLOBECOM 2016 - 2016 IEEE Global Communications Conference. IEEE, 2016. http://dx.doi.org/10.1109/glocom.2016.7841608.

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Fulton, Neale L., Grace S. Garden, Sarah A. Mecklem, Brendan P. Williams, and Reece A. Clothier. "Aircraft Proximity: a synthesis of Apollonius, X-track, and Well Clear Volume paradigms." In 2018 IEEE/AIAA 37th Digital Avionics Systems Conference (DASC). IEEE, 2018. http://dx.doi.org/10.1109/dasc.2018.8569870.

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Reports on the topic "The problem of Apollonius"

1

McKinley, M. S. Problem Description. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1498464.

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Hornung, R. D., J. A. Keasler, and M. B. Gokhale. Hydrodynamics challenge problem. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1117905.

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Donahue, Bruce E. The Irish Problem. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada442479.

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BAILEY, DAVID H., and JONATHAN M. BORWEIN. PROPOSED SIAM PROBLEM. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/983316.

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Davies, E., ed. IETF Problem Statement. RFC Editor, 2004. http://dx.doi.org/10.17487/rfc3774.

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Li, X., S. Dawkins, D. Ward, and A. Durand, eds. Softwire Problem Statement. RFC Editor, 2007. http://dx.doi.org/10.17487/rfc4925.

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Barley, Michael W. Adaptive Problem Solving. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada606629.

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Jean, Brian Altom. LANL problem setup. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1068931.

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Forsythe, Frank. Problem-Based Learning. The Economics Network, 2010. http://dx.doi.org/10.53593/n1164a.

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Chang, B. Tipton Test Problem. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1763948.

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