Auswahl der wissenschaftlichen Literatur zum Thema „Conics (Apollonius, of Perga)“
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Zeitschriftenartikel zum Thema "Conics (Apollonius, of Perga)"
Tripepi, Alessandro. „International Perspectives on the Florentine Edition of Apollonius’ Conics“. Nuncius 38, Nr. 3 (23.11.2023): 690–710. http://dx.doi.org/10.1163/18253911-bja10085.
Der volle Inhalt der QuelleStavek, Jiri. „Newton’s Hyperbola Observed from Newton’s Evolute (1687), Gudermann’s Circle (1833), the Auxiliary Circle (Pedal Curve and Inversion Curve), the Lemniscate of Bernoulli (1694) (Pedal Curve and Inversion Curve) (09.01.2019)“. Applied Physics Research 11, Nr. 1 (29.01.2019): 65. http://dx.doi.org/10.5539/apr.v11n1p65.
Der volle Inhalt der QuelleStavek, Jiri. „Galileo’s Parabola Observed from Pappus’ Directrix, Apollonius’ Pedal Curve (Line), Galileo’s Empty Focus, Newton’s Evolute, Leibniz’s Subtangent and Subnormal, Ptolemy’s Circle (Hodograph), and Dürer-Simon Parabola (16.03.2019)“. Applied Physics Research 11, Nr. 2 (30.03.2019): 56. http://dx.doi.org/10.5539/apr.v11n2p56.
Der volle Inhalt der QuelleFlorio, Emilia. „Claude Mydorge Reader and Interpreter of Apollonius’ Conics“. Mathematics 9, Nr. 3 (28.01.2021): 261. http://dx.doi.org/10.3390/math9030261.
Der volle Inhalt der QuelleHogendijk, Jan P. „Desargues' Brouillon Project and the Conics of Apollonius“. Centaurus 34, Nr. 1 (März 1991): 1–43. http://dx.doi.org/10.1111/j.1600-0498.1991.tb00687.x.
Der volle Inhalt der QuelleBello-Chávez, Jhon Helver. „Elementa Curvarum Linearum more Apollonius that Descartes“. Visión electrónica 2, Nr. 2 (06.12.2019): 435–38. http://dx.doi.org/10.14483/22484728.18442.
Der volle Inhalt der QuelleOlmstead, Eugene A., und Arne Engebretsen. „Technology Tips: Exploring the Locus Definitions of the Conic Sections“. Mathematics Teacher 91, Nr. 5 (Mai 1998): 428–34. http://dx.doi.org/10.5951/mt.91.5.0428.
Der volle Inhalt der QuelleHogendijk, Jan P. „"Apollonius Saxonicus": Die Restitution eines verlorenen Werkes des Apollonius von Perga durch Joachim Jungius, Woldeck Weland und Johannes Müller. Bernd Elsner“. Isis 83, Nr. 4 (Dezember 1992): 665–66. http://dx.doi.org/10.1086/356327.
Der volle Inhalt der QuelleJones, Alexander. „Book Review: On Isagogical Questions: Prolegomena Mathematica: From Apollonius of Perga to the Late Neoplatonists“. Journal for the History of Astronomy 30, Nr. 3 (August 1999): 315–16. http://dx.doi.org/10.1177/002182869903000309.
Der volle Inhalt der QuelleBellosta, Hélène. „DE L'USAGE DES CONIQUES CHEZ IBRĀHĪM IBN SINĀN“. Arabic Sciences and Philosophy 22, Nr. 1 (27.02.2012): 119–36. http://dx.doi.org/10.1017/s0957423911000129.
Der volle Inhalt der QuelleDissertationen zum Thema "Conics (Apollonius, of Perga)"
McKinney, Colin Bryan Powell. „Conjugate diameters: Apollonius of Perga and Eutocius of Ascalon“. Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/711.
Der volle Inhalt der QuelleKarimian, Zeinab. „La Recension des Coniques d’Apollonius par Naṣīr al-Dīn al-Ṭūsī : texte, traduction et commentaire du livre I“. Thesis, Université de Paris (2019-....), 2019. http://www.theses.fr/2019UNIP7184.
Der volle Inhalt der QuelleThe treatise of Conics, written in eight Books by Apollonius of Perga (III-II BC) is one of the greatest Greek mathematical works, which examines the fundamental properties of conic sections. This treatise has a long history of transmission. The Conics was translated into Arabic in 9th century in Bagdad, and it contributed to the new research in several fields of mathematics in Islamic world. Moreover, several new redactions of the Conics – entitled abridgement, rectification and recension – were composed in order to facilitate the access to this treatise and to enrich the initial text.One of the Arabic writings to which gave rise the Conics was due to Naṣīr al-Dīn al-Ṭūsī (1201 – 1274), the mathematician and philosopher of 13th century, who has provided also the new recensions of other mathematical treatises. Until now, the Recension of the Conics by al-Ṭūsī had been never the subject of a separate study. Such a study enables us to estimate the extent to which the initial Arabic translation of the Conics had been enriching over the time. Furthermore, it sheds light on the destiny of the transmission of this treatise into the medieval Islamic world. The aim of this thesis is to partially fill this gap. It is divided into four chapters. Chapter I treat the problem of the transmission of the Conics to the Arabic language as well as the applications of conics in the mathematics written in the Arabic language. Chapter II is devoted to the recension of the Conics by al-Ṭūsī, the problem of its attribution, its sources, etc. Chapters III and IV present the first critical edition of the first Book of the Recension of the Conics by al-Ṭūsī, accompanying the French translation and the mathematical and historical analysis.During our research on the recension of al-Ṭūsī, we found out that it contains technical terms, some formulations and geometrical figures borrowed from one of his predecessors, Maḥmūd ibn Qāsim al-Iṣfahānī (12th century). For this reason, we have extended our research to the study of the redaction of al-Iṣfahānī, namely The Summery of the Conics. The results of this study are presented as an Appendix, which includes the first critical edition of the first Book of this treatise, as well as the French translation and the mathematical commentaries of a part of this Book, devoted to the explanation of the new vocabulary coined by the author
Macedo, Helder Rodrigues. „Estudo sistemático das parábolas“. Universidade Federal da Paraíba, 2015. http://tede.biblioteca.ufpb.br:8080/handle/tede/9431.
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This work presents one proposal that allows High School teachers and students a historical study of the construction of Conics, developed by Apollonius of Perga, the Mathematician and Astronomer that contributed immensely with the definitions we study nowadays in Mathematics. In a second moment, with Conics well defined by Pierre Fermat, the goal of the work is to address the content of Analytical Geometry as taught in the initial school years and Calculus courses. In a third moment, the approach is done through the study of Quadratic Functions, using a review of the content taught in Sophomore year of High School.
Este trabalho apresenta uma proposta de abordagem que permite tanto ao professor quanto ao aluno do ensino médio um estudo histórico da construção das Cônicas desenvolvidas pelo Matemático e Astrónomo Apolônio de Perga que contribuiu imensamente com as definições hoje estudadas na Matemática. No segundo momento, já bem mais definidas as Cônicas por Pierre Fermat o estudo tem como objetivo abordar o conteúdo da Geometria Analítica como é ensinado nas séries básicas e nas disciplinas de Cálculo. No terceiro momento, a abordagem é feita através do estudo das Funções Quadráticas, uma revisão da primeira série do Ensino Médio.
Decorps, Micheline. „Les Coniques d'Apollonios de Pergè“. Clermont-Ferrand 2, 1994. http://www.theses.fr/1994CLF20067.
Der volle Inhalt der QuelleThe conics treatise is the masterpiece of the famous geometer apollonius of perga (3rd 2nd century b. C. ). Its seven book s (the eighth book is lost) constitute a systematic exposition of the theory of conics sections. Only the first four books, which according to apollonius form an elementary introduction, survive in greek; books 5-7 exist in arabic. The present work is devoted to the history of the greek text until the editio princeps of the astronomer halley iin 1710. It constitutes the contents of volume one (fasc. One and two). Volumes two and three consist of the critical edition and the translation of book one 8with philological notes). The greek manuscripts and the arabic manuscripts now registered don't contain the original text of books 1-4, but the recentsion of eutocius of ascalon, the commentator of archimedes's treatises (sixth century a. D. ). The study of the greek indirect tradition makes clear how the text was shaped in philoso phical schols of the late antiquity. Our second aim has been to determine the process of diffusion and transmission of the text among oriental and occidental communities of mathematicians and teachers. The collation of all greek manuscripts now known and the use of the works of renaissance mathematicians have permitted to renew entirely the heiber g's edition (1891-3) and confirm the pre-eminent place of vaticanus gr. 206
Souza, Oertes Alves. „Problemas de Apolônio“. reponame:Repositório Institucional da UFABC, 2014.
Den vollen Inhalt der Quelle findenDissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, 2014.
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.
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 Pergamum , just using a ruler and compass or with the aid of a dynamic geometry software.
Maronne, Sébastien. „La théorie des courbes et des équations dans la géométrie cartésienne : 1637-1661“. Paris 7, 2007. http://www.theses.fr/2007PA070061.
Der volle Inhalt der QuelleIn this thesis, we study three topics which appeared central to us in the Cartesian Geometry: the Pappus' problem, the problem of tangents and normals, and a problem of gnomonic known under the name of Problema Astronomicum. By "Cartesian Geometry", we understand the corpus formed not only by the Geometry, published in 1637, but also by the Cartesian Correspondence and the two Latin editions directed by Frans van Schooten, published respectively in 1649 and 1659-1661. We study the genesis of the theory of geometrical curves defined by algebraic equations in particular through the controversies which appear in the Cartesian correspondence: the controversy with Roberval about the Pappus' problem, the controversy with Fermat about tangents, and the controversy with Stampioen about the Problema astronomicum. We would thus like to show that the Geometry of the Correspondence constitutes a mean term between the Geometry of 1637 and the Latin editions of 1649 and 1659-1661, sheding light on stakes and difficulties of the creation process of the algebraic curve as object. Moreover, we examine Fermat's method for tangents and Descartes' method for normals, by referring them to a common matrix formed by Apollonius' Conics more precisely, Book I and Book V devoted to a theory of minimal straight lines
Rhodes, Diana L. „A mathematical translation of Apollonius of Perga's Conics IV“. 2005. http://etda.libraries.psu.edu/theses/approved/WorldWideIndex/ETD-851/index.html.
Der volle Inhalt der QuelleBücher zum Thema "Conics (Apollonius, of Perga)"
Vladimirovich, Habelashvili Albert. Problem by Apollonius from Perga. Pererva: A.V. Habelashvili, 1994.
Den vollen Inhalt der Quelle findenApollonius. Apollonius de Perge, Coniques. Berlin: Walter de Gruyter, 2010.
Den vollen Inhalt der Quelle findenToomer, Gerald J., Hrsg. Apollonius: Conics Books V to VII. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4613-8985-9.
Der volle Inhalt der QuelleApollonius. Apollonius de Perge, Coniques: Texte grec et arabe. Berlin: W. de Gruyter, 2008.
Den vollen Inhalt der Quelle findenEuclid, Hrsg. The Mathematical writings of Euclid, Archimedes, Apollonius of Perga, Nicomachus of Gerasa. Franklin Center, Pa: Franklin Library, 1985.
Den vollen Inhalt der Quelle findenBernd, Elsner, Apollonius of Perga, Jungius Joachim 1587-1657, Weland Woldeck 1614-1641 und Müller Johannes 1611-1671, Hrsg. Apollonius Saxonicus: Die Restitution eines verlorenen Werkes des Apollonius von Perga durch Joachim Jungius, Woldeck Weland und Johannes Müller. Göttingen: Vandenhoeck & Ruprecht, 1988.
Den vollen Inhalt der Quelle findenMansfeld, Jaap. Prolegomena mathematica: From Apollonius of Perga to late Neoplatonism : with an appendix on Pappus and the history of Platonism. Leiden: Brill, 1998.
Den vollen Inhalt der Quelle findenHeath, Thomas. Apollonius Of Perga Treatise On Conic Sections. Archaeology & Art Publications, 2015.
Den vollen Inhalt der Quelle finden), Apollonius (of Perga, und Ludwig Leo Michael Nix. Fünfte Buch der Conica des Apollonius Von Perga. Creative Media Partners, LLC, 2023.
Den vollen Inhalt der Quelle findenHorsley, Sam, Apollonius und W. A. Diesterweg. Die Bücher des Apollonius Von Perga de Inclinationibus. de Gruyter GmbH, Walter, 2021.
Den vollen Inhalt der Quelle findenBuchteile zum Thema "Conics (Apollonius, of Perga)"
Decorps-Foulquier, Micheline. „“Parts of Text” in the Mathematical Literature of Ancient Greece: From the Author to His Commentator. The Example of Conics by Apollonius of Perga“. In Pieces and Parts in Scientific Texts, 135–57. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78467-0_6.
Der volle Inhalt der QuelleWinter, Thomas Nelson. „Apollonius of Perga“. In Biographical Encyclopedia of Astronomers, 89. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4419-9917-7_60.
Der volle Inhalt der QuelleAydüz, Salim, Leonard B. Abbey, Thomas R. Williams, Wayne Orchiston, Hüseyin Topdemir, Christof A. Plicht, Margherita Hack et al. „Apollonius of Perga“. In The Biographical Encyclopedia of Astronomers, 52. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-30400-7_60.
Der volle Inhalt der QuelleHerrmann, Dietmar. „Apollonius of Perga“. In Ancient Mathematics, 251–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. http://dx.doi.org/10.1007/978-3-662-66494-0_15.
Der volle Inhalt der QuelleKhabelashvili, Albert V. „Problem by Apollonius of Perga“. In Studies in History of Mathematics Dedicated to A.P. Youschkevitch, 125–40. Turnhout: Brepols Publishers, 2002. http://dx.doi.org/10.1484/m.dda-eb.4.01009.
Der volle Inhalt der QuelleHogendijk, J. P. „The Conics of Apollonius“. In Sources in the History of Mathematics and Physical Sciences, 30–40. New York, NY: Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4757-4059-2_3.
Der volle Inhalt der QuelleBaltus, Christopher. „Conics in Greek Geometry: Apollonius, Harmonic Division, and Later Greek Geometry“. In Collineations and Conic Sections, 45–57. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46287-1_4.
Der volle Inhalt der QuelleFried, 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, 37–113. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0146-9_7.
Der volle Inhalt der QuelleFant, Clyde E., und Mitchell G. Reddish. „Perga“. In A Guide to Biblical Sites in Greece and Turkey. Oxford University Press, 2003. http://dx.doi.org/10.1093/oso/9780195139174.003.0041.
Der volle Inhalt der QuelleRashed, Roshdi. „Arabic Versions and Reediting Apollonius’ Conics“. In New Perspectives on the History of Islamic Science, 343–54. Routledge, 2017. http://dx.doi.org/10.4324/9781315248011-17.
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