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         Nicomachus Of Gerasa:     more detail
  1. The Thirteen Books of Euclid's Elements; The Works of Archimedes Including the Method; On Conic Sections; and Introduction to Arithmetic (Britannica Great Books, 11) by Euclid, Archimedes, et all 1952
  2. The Manual of Harmonics of Nicomachus the Pythagorean by Nicomachus, Flora R. Levin, 1993-12
  3. Nicomachus of Gerasa: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001
  4. Euclid - Archimedes - Apollonius of Perga - Nicomachus of Gerasa (The Great Books of the Western World, 25th Anniversary Edition) by Euclid, Archimedes, et all 1985
  5. The arithmetical philosophy of Nicomachus of Gerasa by George Johnson, 1916-01-01
  6. Volume 11 Great Books of the Western World: The Thirteen Books of Euclid's Elements; the Works of Archimedes Including the Method; on Conic Sections By Apollonius of Perga and Introduction to Arithmetic By Nicomachus of Gerasa by Unknown, 1952
  7. The Great Books of the St. John''s Program - Nicomachus of Gerasa (c.100 A.D.): Introduction to Arithmetic by Martin Luther (trans.) Nicomachus of Gerasa; D''Ooge, 1946
  8. Nicomachus of Gerasa: Introduction to Arithmetic by Nicomachus of Gerasa. Translated by Martin Luther D'ooge., 1960
  9. The Mathematical Writings of Euclid, Archimedes, Apollonius of Perga, Nicomachus of Gerasa (The Great Books of the Western World) by Euclid, Archimedes, et all 1985
  10. Introduction to Arithmetic by Martin [translator] Nicomachus of Gerasa; D'Ooge, 1926
  11. Introduction To Arithmetic by Nicomachus Of Gerasa; Translated By Martin Luther Dodge, 1960
  12. The Thirteen Books of Euclid's Elements: The Works of Archimedes Including the Method: On Conic Sections: Introduction to Arithmetic (Great Books of the Western World, Vol. 11) by Euclid, Archimedes, et all 1987

1. Nicomachus
nicomachus of gerasa is mentioned in a small number of sources and we can datehim fairly accurately from the information given. Nicomachus himself refers
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Nicomachus.html
Nicomachus of Gerasa
Born: about 60 in Gerasa, Roman Syria (now Jarash, Jordan)
Died: about 120
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to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
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Nicomachus of Gerasa is mentioned in a small number of sources and we can date him fairly accurately from the information given. Nicomachus himself refers to Thrasyllus who died in 36 AD so this gives lower limits on his dates. On the other hand Apuleius , the Platonic philosopher, rhetorician and author whose dates are 124 AD to about 175 AD, translated Nicomachus's Introduction to Arithmetic into Latin so this gives an upper limit on his dates. One of the most interesting references is by Lucian , the rhetorician, pamphleteer and satirist who was born about 120 AD, who makes one of his characters say:- You calculate like Nicomachus. Clearly Nicomachus had achieved fame for his arithmetical work! In the paper [7] Dillon argues that Nicomachus died in 196 AD. His argument is based on the fact that Marinus claimed that Proclus believed that he was the reincarnation of Nicomachus. Since

2. Figure 6 For Kappraff's "The 'Arithmetic' Of Nicomachus Of Gerasa
Figures for Jay Kappraff's The Arithmetic of nicomachus of gerasa and its Applications to Systems of Proportion Fig. 1 Fig. 2 Fig.
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3. References For Nicomachus
nicomachus of gerasa, Introduction to Arithmetic (New York, 1926). JM Dillon,A date for the death of nicomachus of gerasa, Classical Review 19 (1969),
http://www-groups.dcs.st-and.ac.uk/~history/References/Nicomachus.html
References for Nicomachus
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  • Biography in Dictionary of Scientific Biography (New York 1970-1990).
  • Biography in Encyclopaedia Britannica. Books:
  • M L D'Ooge (trs.), Nicomachus of Gerasa, Introduction to Arithmetic (New York, 1926).
  • T L Heath, A History of Greek Mathematics (2 Vols.) (Oxford, 1921). Articles:
  • S Brentjes, Untersuchungen zum Nicomachus Arabus, Centaurus
  • M Crubellier and J Sip, Looking for perfect numbers, History of Mathematics : History of Problems (Paris, 1997), 389-410.
  • J M Dillon, A date for the death of Nicomachus of Gerasa, Classical Review
  • Rev. Histoire Sci.
  • H R Muzafarova, Nicomachos' arithmetic in a work by Qutb ad-Din as-Shirazi (Russian), in Mathematics and the methodology of its teaching (Russian) I (Dushanbe, 1974), 124-131.
  • Trans. Amer. Philos. Soc. Main index Birthplace Maps Biographies Index
    History Topics
    ... Anniversaries for the year
    JOC/EFR April 1999 School of Mathematics and Statistics
    University of St Andrews, Scotland
    The URL of this page is:
    http://www-history.mcs.st-andrews.ac.uk/References/Nicomachus.html
  • 4. Figure 9 For Kappraff's "The 'Arithmetic' Of Nicomachus Of Gerasa
    Figures for Jay Kappraff's The Arithmetic of nicomachus of gerasa and its Applications to Systems of Proportion Fig. 1 Fig. 2 Fig.
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    5. Malaspina Great Books - Nicomachus Of Gerasa (c. 100)
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    7. The Arithmetic Of Nichomachus Of Gerasa By Jay Kappraff For The Nexus Network Jo
    The Arithmetic of nicomachus of gerasa and its Applications to Systems of nicomachus of gerasa nicomachus of gerasa (Figure 1, at left) has gained a
    http://www.nexusjournal.com/Kappraff.html
    Abstract. Mathematician Jay Kappraff discusses a pair of tables of integers found in the Nicomachus's Introduction to Arithmetic and shows how they lead to a general theory of proportion. He shows how the system of musical proportions developed by the neo-Platonic Renaissance architects Leon Battista Alberti and Andrea Palladio, the Roman system of proportions described by Theon of Smyrna, and the Modulor of Le Corbusier are derived naturally from the Nicomachus tables.
    The Arithmetic of Nicomachus of Gerasa
    and its Applications to Systems of Proportion Jay Kappraff
    New Jersey Institute of Technology
    Department of Mathematics
    University Heights
    Newark, New Jersey 07102 USA To speed up loading times, this text is hyperlinked to illustrations on a separate page. To go directly to the illustrations to the text, click here INTRODUCTION
    N
    icomachus of Gerasa (Figure 1, at left) has gained a position of importance in the history of ancient mathematics due in great measure to his Introduction to Arithmetic [1]. This book is one of the only surviving documentations of Greek number theory. Little is known about the life of Nicomachus, and the period of his life can only be estimated to lie between the middle of the first century and the middle of the second century AD, making him contemporary with Theon of Smyrna and Ptolemy. I will discuss a pair of tables of integers found in the

    8. Euclid (1985) The Mathematical Writings Of Euclid, Archimedes
    The Mathematical writings of Euclid, Archimedes, Apollonius of Perga, nicomachus of gerasa. Post a Comment. CONTRIBUTORS Author Euclid.
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    9. Figure 3 For Kappraff's "The 'Arithmetic' Of Nicomachus Of Gerasa In Nexus Netwo
    Figures for Jay Kappraff s The Arithmetic of nicomachus of gerasa and itsApplications to Systems of Proportion. Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig.
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    The
    Arithmetic of Nicomachus of Gerasa
    and its Applications to Systems of Proportion
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    11. Nicomachus Of Gerasa --  Encyclopædia Britannica
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    19. Malaspina.com - Nicomachus Of Gerasa (fl. Ca. 100 AD)
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