81. AAC Database - Browse - List 1, Nicolson, William. 1, nicomachus Gerasenus See nicomachus,of gerasa. 1,nicomachus, of gerasa. 1, nicomachus, the Pythagorean See nicomachus,of gerasa. http://valeph.tau.ac.il/ALEPH/ENG/TAU/AAC/AAC/SCAN-F/1159161

Sourasky Central Library Browse - AUTHOR list - ALL DOCUMENTS The numbers in the list below indicate the number of documents listed under a term. To display the documents, click on an eye . To move up or down the list, click on the arrow. Nicolson, Robert Nicolson, Roderick I. Nicolson, Victoria Mary Sackville-West, 1892-1962 See: Sackville-West, V.(Victoria),1892-1962 Nicolson, William Nicomachus Gerasenus See: Nicomachus,of Gerasa Nicomachus, of Gerasa Nicomachus, the Pythagorean See: Nicomachus,of Gerasa Nicon, Cretensis, Saint, 10th cent. Nicon, Monachus Raithensis, in Palestina, 12th cent. See: Nicon,Monk of Raethus,12th cent. Nicon, Monk of Raethus, 12th cent. Nicosia (Cyprus). Cathedral of Holy Wisdom See: Cathedral of Holy Wisdom (Nicosia, Cyprus) Nicosia (Cyprus). Cathedral of Saint Sophia See: Cathedral of Holy Wisdom (Nicosia, Cyprus)

82. NICOMACHUS nicomachus, a Neopythagorean philosopher and mathematician, born at gerasa in ArabiaPetraea, flourished about AD 100. In his musical treatise he m. nicomachus. http://67.1911encyclopedia.org/N/NI/NICOMACHUS.htm

NICOMACHUS NICOMACHUS NICOMACHUS, of Thebes, Greek painter, of the early part of the 4th century, was a contemporary of the greatest painters of Greece; Vitruvius observes that if his fame was less than theirs, it was the fault of fortune rather than of demerit. Pliny (xxxv. 108) gives a list of his works; among them a " Rape of Persephone," " Victory in a Quadriga," a group of Apollo and Artemis, and the " Mother of the Gods seated on a Lion." Pliny tells us that he was a very rapid worker and used but four colors (the last seems impossible). Plutarch mentions his paintings as possessing the Homeric merit of ease and absence of effort. WILLIAM NICOL NICOMACHUS (OF THEBES)

83. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Moldavia Died 5 Aug 1981 in Oakland, California, USA nicomachus, nicomachus ofgerasa Born about 60 in gerasa, Roman Syria (now Jarash, Jordan) Died about http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=N

84. Walisch Kim: Sieb Des Eratosthenes (EcprimeV1.12) Www.primzahlen.de Translate this page Etwa 300 Jahre später überlieferte nicomachus von gerasa das Verfahren in seinemBuch ?Introductio Arithmeticae“ und gab ihm den Namen ?Sieb des http://www.primzahlen.de/files/referent/kw/sieb.htm

Walisch Kim: Sieb des Eratosthenes (EcprimeV1.4) Eratosthenes Programm Algorithmus Benchmark ... Download Eratosthenes von Kyrene: Sieb des Eratosthenes: Das Sieb des Eratosthenes und das davon abgeleitete Sieb von Atkin sind bis heute die schnellsten Methoden um alle Primzahlen bis circa 10^10 zu finden. Programm Beschreibung: Algorithmus: Das Programm ist in effizientem C/C++ geschrieben. 31, 37, 41, 43, 47, 49, 53, 59 //Byte Benchmarks: Getestet auf einem Pentium III 550MHZ, Sieve size 15015 bytes. x Prims(x) Twins(x) Time 0.010 sek 0.010 sek 0.010 sek 0.010 sek 0.010 sek 0.010 sek 0.030 sek 0.200 sek 2.533 sek 38.515 sek Intel C++ 6.0 Download: ecprime.exe.zip 64 kb Windows ecprime.source.zip 17 kb Windows Forschung: pix.html (noch nicht komplett) Feedback: kim_walisch@gmx.net Links: http://wwwhomes.uni-bielefeld.de/achim/prime_sieve.html (The Art of Prime Sieving) http://cr.yp.to/primegen.html (D. J Bernstein, primegen) http://www.trnicely.net/pi/tabpi.html (table of prime counts)

85. Biography-center - Letter N Nicollier, Claude www.jsc.nasa.gov/Bios/htmlbios/nicollie.html; nicomachus ofGerasa, wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/nicomachus.html; http://www.biography-center.com/n.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish N 192 biographies Nabokov, Vladimir www.libraries.psu.edu/iasweb/nabokov/bio.htm Nabokov, Vladimir www.randomhouse.com/features/nabokov/biography.html Nadar, www.getty.edu/art/collections/bio/a1622-1.html Nadar, Paul www.getty.edu/art/collections/bio/a1621-1.html Nadi, Nedo www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=54806 Naegeli, Oskar www.whonamedit.com/doctor.cfm/984.html Naffziger, Howard Christian www.whonamedit.com/doctor.cfm/752.html Nagel, Steven R. www.jsc.nasa.gov/Bios/htmlbios/nagel.html Nageotte, Jean www.whonamedit.com/doctor.cfm/756.html Nagyrapolt, Albert Szent-Györgyi www.whonamedit.com/doctor.cfm/1542.html Naher, Walter www.grandprix.com/gpe/cref-nahwal.html Naipaul, Sir Vidiadhar Surajprasad www.nobel.se/literature/laureates/2001/naipaul-bibl.html Naish, Robby

86. History Of Perfect Numbers The first significant study of Perfect Numbers was conducted by Nicomachusof gerasa who wrote his famous text Introductio Arithmetica in 100AD. http://students.bath.ac.uk/ma2le/History.html

The History of Perfect Numbers The first significant study of Perfect Numbers was conducted by Nicomachus of Gerasa who wrote his famous text Introductio Arithmetica in 100AD. This gave a classification of numbers based on the concepts of Perfect Numbers. Nicomachus He divided numbers into 3 classes; 1. Superabundant - the sum of the numbers aliquot parts is greater than the number. 2. Deficient - the sum of the numbers aliquot parts is less than the number. 3. Perfect Numbers - the sum of the numbers aliquot parts is equal to the number. Nicomachus also describes these certain results concerning Perfect Numbers all of which he gave without attempting any proofs. They are; 1. The n th Perfect Number has n digits. 2. All Perfect Numbers end in 6 and 8 alternately. 3. All Perfect Numbers are even. 4. Euclid's algorithm to generate Perfect Numbers will give all Perfect Numbers. ie every Perfect Number is of the form 2 k-1 k -1), for some k>1, where 2 k -1 is prime. 5. There are infinately many Perfect Numbers. It is thought that these 5 assertions are not based on anything more prolific than Euclid's algorithm and the fact that there only existed the first 4 Perfect Numbers for him to compare and contrast but this is not certain.

87. The Classical Quarterly, Volume 48, Issue 1, 1998: Pp. 324-327 Volume 48, Issue 1, 1998 pp. 324327. Shorter note. The chronology of Nicomachusof gerasa. AH Criddle. Great Barford, Bedford, UK. Table of Contents. http://www3.oup.co.uk/clquaj/hdb/Volume_48/Issue_01/480324.sgm.abs.html

Select a journal... Adelphi Papers African Affairs Age and Ageing Alcohol and Alcoholism American Journal of Epidemiology American Law and Economics Review American Literary History Annals of Botany Annals of Occupational Hygiene Annals of Oncology Applied Linguistics Australasian Journal of Philosophy Behavioral Ecology Bioinformatics Biometrika Biostatistics BJA: British Journal of Anaesthesia Brain Brief Treatment and Crisis Intervention British Journal of Aesthetics British Journal of Criminology British Jnl. for the Philosophy of Sci. British Journal of Social Work British Medical Bulletin BWP Update Cambridge Journal of Economics Cambridge Quarterly Cancer Science Carcinogenesis Cerebral Cortex Chemical Senses Classical Quarterly Classical Review Clinical Psychology: Science and Practice Communication Theory Community Development Journal Computer Bulletin Computer Journal Contemporary Economic Policy BJA: CEACCP Contributions to Political Economy ELT Journal Early Music Economic Inquiry English Historical Review Environmental Practice Epidemiologic Reviews ESHRE Monographs Essays in Criticism European Journal of International Law European Journal of Orthodontics European Journal of Public Health European Review of Agricultural Economics European Sociological Review Evidence-based Compl. and Alt. Medicine

88. The Classical Quarterly, Volume 48, Issue 1, 1998 pp. 320324 Details. Shorter note. The chronology of nicomachus ofGerasa AH Criddle pp. 324-327 Details. Shorter note. Philoponus http://www3.oup.co.uk/clquaj/hdb/Volume_48/Issue_01/

Select a journal... Adelphi Papers African Affairs Age and Ageing Alcohol and Alcoholism American Journal of Epidemiology American Law and Economics Review American Literary History Annals of Botany Annals of Occupational Hygiene Annals of Oncology Applied Linguistics Australasian Journal of Philosophy Behavioral Ecology Bioinformatics Biometrika Biostatistics BJA: British Journal of Anaesthesia Brain Brief Treatment and Crisis Intervention British Journal of Aesthetics British Journal of Criminology British Jnl. for the Philosophy of Sci. British Journal of Social Work British Medical Bulletin BWP Update Cambridge Journal of Economics Cambridge Quarterly Cancer Science Carcinogenesis Cerebral Cortex Chemical Senses Classical Quarterly Classical Review Clinical Psychology: Science and Practice Communication Theory Community Development Journal Computer Bulletin Computer Journal Contemporary Economic Policy BJA: CEACCP Contributions to Political Economy ELT Journal Early Music Economic Inquiry English Historical Review Environmental Practice Epidemiologic Reviews ESHRE Monographs Essays in Criticism European Journal of International Law European Journal of Orthodontics European Journal of Public Health European Review of Agricultural Economics European Sociological Review Evidence-based Compl. and Alt. Medicine

89. Recommended Reading List 23. Tacitus (c.55117). Histories Annals Agricola Germania. 24. nicomachus ofGerasa (fl.c. 100 AD). Introduction to Arithmetic. 25. Epictetus (c.60-120). http://www.sheboyganfalls.k12.wi.us/staff/dehogue/AP/recommended_reading_list.ht

A Recommended Reading List Home Books currently in our curriculum are in color. from Appendix A of How to Read a Book , by Mortimer Adler and Charles Van Doren 1. Homer (9th Century B.C.?) Iliad Odyssey 2. The Old Testament 3. Aeschylus (c.525-456 B.C.) Tragedies 4. Sophocles (c.495-406 B.C.) Tragedies ( Oedipus Rex 5. Herodotus (c.484-425 B.C.) History 6. Euripides (c.485-406 B.C.) Tragedies 7. Thucydides (c.460-400 B.C.) History of the Peloponnesian War 8. Hippocrates (c.460-377? B.C.) Medical Writings 9. Aristophanes (c.448-380 B.C.) Comedies 10. Plato (c.427-347 B.C.) Dialogues 11. Aristotle (384-322 B.C.) Works 12. Epicurus (c.341-270 B.C.) ``Letter to Herodotus'' ``Letter to Menoecus'' 13. Euclid (fl.c. 300 B.C.) Elements 14. Archimedes (c.287-212 B.C.) Works 15. Apollonius of Perga (fl.c.240 B.C.) Conic Sections 16. Cicero (106-43 B.C.) Works 17. Lucretius (c.95-55 B.C.) On the Nature of Things 18. Virgil (70-19 B.C.) Works 19. Horace (65-8 B.C.) Works 20. Livy (59 B.C.A.D. 17) History of Rome 21. Ovid (43 B.C.A.D. 17) Works 22. Plutarch (c.45-120) Parallel Lives Moralia 23. Tacitus (c.55-117)

90. ADLER AND VAN DOREN'S READING LIST Tacitus (c. 55117), Histories, Annals, Agricola, Germania. Nicomachusof gerasa (fl. c.100 AD), Introduction to Arithemetic. Epictetus http://home.comcast.net/~dwtaylor1/adler.html

ADLER AND VAN DOREN'S RECOMMENDED READING LIST In their How to Read a Book (1940, 1972), Mortimer Adler and Charles Van Doren append "A Recommended Reading List." They write: "On the following pages appears a list of books that it would be worth your while to read. We mean the phrase 'worth your while' quite seriously. Although not all of the books listed are 'great' in any of the commonly accepted meanings of the term, all of them will reward you for the effort you make to read them. All of these books are over most people's heads - sufficiently so, at any rate, to force most readers to stretch their minds to understand and appreciate them. And that, of course, is the kind of book you should seek out if you want to improve your reading skills, and at the same time discover the best that has been thought and said in our literary tradition." In some instances where a general title for an author is cited, e.g. Works, Tragedies, the particular titles recommended by the authors are shown in parentheses. Homer (9th century B.C.)

91. OnTab Online: Tabel 51 125 vC. Hero van Alexandrie, ca. 75. Ptolemaeus, ca. 85 ca. 165. nicomachus vanGerasa, ca. 100. Theoon van Smyrna, ca. 125. Diophantus, 1ste of 3de eeuw. Pappus,ca. http://www.casia.nl/OnTab/tabel51.html

51. Wiskundigen Ahmes ca. 1650 vC Pythagoras ca. 540 vC Hippocrates ca. 440 vC Plato ca. 430 vC - ca. 349 vC Hippias ca. 425 vC Theaethetus ca. 417 vC - ca. 369 vC Archytas ca. 400 vC Xenocrates 396 vC - 314 vC Theodorus ca. 390 vC Aristoteles 384 vC - 322 vC Menaechmus ca. 350 vC Euclides ca. 300 vC Archimedes ca. 287 vC - ca. 212 vC Nicomedes ca. 240 vC Eeratosthenes ca. 230 vC Diocles ca. 180 vC Hipparchus ca. 180 vC - ca. 125 vC Hero van Alexandrie ca. 75 Ptolemaeus ca. 85 - ca. 165 Nicomachus van Gerasa ca. 100 Theoon van Smyrna ca. 125 Diophantus 1ste of 3de eeuw Pappus ca. 320 Iamblichus ca. 325 Produs Zu Chongzhi Brahmagupta ca. 628 Al-Chwarizmi ca. 825 Thabit ibn Qurra Mahavira ca. 850 Bhaskara 1114 - ca. 1185 Leonardo van Pisa (Fibonacci) ca. 1170 - na 1240 Ibn Al-Banna Zhu Shijie ca. 1303 Pacioli, Fra Luca ca. 1445 - 1517 Vinci, Leonardo da Durer, Albrecht Stifel, Michael Tartaglia, Niccolo ca. 1500 - 1557 Cardano, Girolamo

92. Book Review A number of obscure characters such as Moderatus of Gades and nicomachus ofGerasa also flit across the pages from time to time, receiving a rare but http://www.practical-philosophy.org.uk/Volume5Reviews/Pythagoras.htm

PRACTICAL PHILOSOPHY THE JOURNAL OF THE SOCIETY FOR PHILOSOPHY IN PRACTICE www.practical-philosophy.org.uk www.society-for-philosophy-in-practice.org Pythagoras and the Pythagoreans: a brief history Charles H. Kahn 2001 Indianapolis: Hackett. pp. xi + 195 ISBN 0-87220-575-4 (pb). £10.95 Practical Philosophy (Book Reviews) Spring 2002Volume 4.2 Reviewed by: Trevor Curnow Although not usually regarded as the first western philosopher (that accolade being traditionally reserved for Thales), Pythagoras is nevertheless a seminal figure. In one sense perhaps he was the first ‘philosopher’, as he is widely credited with the invention of that term. More importantly, however, he seems to have been the first to see philosophy as involving a particular way of life, and it was in the hope of learning more about what that way of life entailed that I approached this book. Unfortunately, it did not have very much to say on the subject. However, that is not the author’s fault. Kahn is to be commended for sticking close to what is actually known, and resisting the temptation to indulge in groundless speculation so as to fill in the many gaps. What emerges is a sketchy but engaging narrative, with several interesting twists and turns. One of the difficulties in getting to the bottom of the Pythagorean philosophy is the fact that its founder wrote nothing and its earliest adherents were bound by a vow of silence. It is not always easy to disentangle the original teaching from its later accretions and adaptations. Vegetarianism, for example, while often associated with Pythagorean living, seems not to have been practised from the outset, although dietary regulations of some kind (including the famous injunction not to eat beans) were obviously always important. More generally, since so little was known about Pythagoras, he became a convenient figure for later generations to attribute all kinds of ideas and activities to, presumably because such attributions were so difficult to disprove.

93. The Great Books The Spirit of Laws N. NEWTON, GBWW I 34vii Principles Optics NICOMACHUSOF gerasa, GBWW I 11811 Arithmetic O. P. PASCAL, GBWW I http://www.thegreatideas.org/gb.html

The Great Ideas from The Great Books Index of Authors AUTHOR, location in GBWW [I] volume:page A B C D ... Z Title or collection For electronic texts on-line, consult Great Books Index A AESCHYLUS, GBWW [I] 5:1 Tragedies APOLLONIUS OF PERGA, GBWW [I] 11:603 Conics AQUINAS, GBWW [I] 19-20 Summa Theologica ARCHIMEDES, GBWW [I] 11:403 Elements ARISTOPHANES, GBWW [I] 5:449 Comedies ARISTOTLE, GBWW [I] 8-9 Complete Works Articles of Confederation GBWW [I] 43:5 AUGUSTINE, GBWW [I] 18 Confessions GBWW [I] 18:ix City of God GBWW [I] 18:127 Christian Doctrine GBWW [I] 18:619 AURELIUS, GBWW [I] 12:253 Meditations B BACON, GBWW [I] 30 Advancement of Learning GBWW [I] 30:ix Novum Organum GBWW [I] 30:103 New Atlantis GBWW [I] 30:197 BERKELEY, GBWW [I] 35:397 Human Knowledge Bible GBWW Bible , OLD TESTAMENT: K. J. V. (D) [Douay] Bible , NEW TESTAMENT: K. J. V. (D) [Douay] BOSWELL, GBWW [I] 44 Johnson C CERVANTES, GBWW [I] 29 Don Quixote CHAUCER, GBWW [I] 22 Troilus and Cressida GBWW [I] 22:ix Canterbury Tales GBWW [I] 22:157 Constitution GBWW [I] 43:11 COPERNICUS, GBWW [I] 16:481, 505 Revolutions of the Heavenly Spheres D DANTE

94. Simon Finch His De Arithmetica is an adaptation of the Arithmetike eisagoge of nicomachus ofGerasa, author of the second century CE whose work on music, Encheiridion http://www.simonfinch.com/pages/highlights.php?CatID=3&id=8

95. The Harmony Of The Spheres Preface and Acknowledgments I. Classical 1. Plato 2. Pliny The Elder 3. Nicomachusof gerasa 4. Theon of Smyrna 5. Ptolemy 6. Censorinus 7. The Hymns of http://www.innertraditions.com/titles/harsph.htm

The Harmony of the Spheres: The Pythagorean Tradition In Music by Joscelyn Godwin ISBN 0-89281-265-6 Inner Traditions International 512 pages, 6 x 9 Hardcover, $29.95 (CAN $48.00) About the Book About the Author Table of Contents Reviews Excerpt Ordering Return to Inner Traditions' homepage About the Book Professor of Music at Colgate University and a widely respected musicologist, Godwin here traces the idea, held since ancient times, that the whole cosmos is in some way a musical or harmonious entity. Table of Contents The Harmony of the Spheres The Pythagorean Tradition In Music Preface and Acknowledgments I. Classical 1. Plato 2. Pliny The Elder 3. Nicomachus of Gerasa 4. Theon of Smyrna 5. Ptolemy 6. Censorinus 7. The Hymns of Orpheus 8. Saint Athanasius 9. Aristeides Quintilianus 10. Calcidius 11. Macrobius 12. Proclus 13. Boethius II. Medieval 14. Hunayn 15. Aurelian of Reome 16. John Scotus Eriugena 17. Regino of Prum 18. The Ikhwan Al-Safa" (Brethren of Purity) 19. Al-Hasan Al-Katib 20. Anonymous of the Twelfth Century 21. Isaac Ben Abraham Ibn Latif

96. Progressioni Geometriche by Martin Luther D Ooge, with notes by Frank Egleston Robbins and Louis http://utenti.quipo.it/base5/numeri/progrgeom.htm

BASE Cinque Appunti di Matematica ricreativa BASE Cinque Collezione Progressioni geometriche a n = a n-1 d Il cavallo stanco Un cavallo ha percorso 700 miglia in 7 giorni, dimezzando la sua velocità ogni giorno. Quanto ha percorso ogni giorno? Zhang Qiujian Suan Jing Dilapidare la ricchezza Un uomo possiede inizialmente 100 denari e spende ogni giorno 1/10 di ciò che ha. Con quanto rimane dopo 12 giorni? Fibonacci. 1202 Il viaggiatore Un uomo percorre 1, 3, 9, ... leghe in giorni successivi. Continuando a questo ritmo, quante leghe percorrerà in 5 giorni e mezzo? Chuquet, 1484 La botte che si svuota Una botte contiene una quantità di vino pari a 9,5 barili. Il suo contenuto viene trasferito nei barili in modo tale che: il primo barile si riempie in 1 ora; il secondo barile si riempie in 2 ore; il terzo barile si riempie in 4 ore; e così via, raddoppiando ogni volta il tempo. Quanto tempo è necessario per svuotare la botte? Chuquet, 1484

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