41. CSLA: Henry Mendell Oxford Studies in Ancient Philosophy, 16 (1998), 160225. 1998, Reflectionson Eudoxus, callippus and their Curves Hippopedes and Callippopedes . http://www.calstatela.edu/faculty/hmendel/

Madeleine Mendell (for me you'll have to visit Phil. Dept. Faculty Teaching Interests Research Interests Educational Background ... Office Hours On Greek Mathematics and Philosophy of Mathematics Vignettes of Ancient Mathematics Henry Mendell Prof. Phone: (323) 343-4178 FAX: (323) 343-4193 Email: hmendel@calstatela.edu TEACHING INTERESTS I mostly teach ancient philosophy. However, I also teach annually a course in the history of the philosophy of science, which focuses on astronomy and mathematics. This course uses lots of graphics to illustrate Greek mathematics and astronomy, and spread sheets to illustrate Babylonian astronomy. Some of this I shall add to this WEB site; others are available on a CD-ROM (Mac) I enjoy teaching logic. RESEARCH INTERESTS My principal areas of interest at present include ancient Greek philosophy (especially Aristotle), ancient Greek mathematics, ancient astronomy (especially Eudoxus). These focus on the relation between philosophical issues in ancient treatments of scientific problems and how ancient philosophers responded to those issues. Current projects involve Aristotelian logic, conceptions of relational quantities in Greek mathematics, infinitary arguments in Greek mathematics, the relation between first principles in Aristotle and in Greek mathematics, sources for Eudoxus, 4th cent. B.C.E. conceptions of astronomy, and Plato's Phaedo. Representative Professional Activities Date Recent Publications Eloge for Wilbur Knorr. Isis 92 (2001): 339-343

42. Online treatment Also those against whom we have had any grievance or any previous differenceswith them as callippus had when he You can find a lot of information http://www.all-for-pc-and-mac.com/computer_component_part_mfg.asp

43. Online callippus 21 Another line of argument refers to things which are supposed to happenand yet seem incredible We may argue We offer all kind of high quality http://www.all-for-pc-and-mac.com/gran_turismo_3com.asp

44. Greek And Copernican Astronomy callippus of Cyzicus (c. 330BC)—34 spheres; models of Eudoxus and callippus werepurely mathematical constructions; said nothing about the actually mechanics http://www.msu.edu/course/lbs/492/stillwell/greekastro.html

LBS 333 Topics in the History of the Physical Sciences Spring 1998 Lecture 3: Astronomical Systems: Plato to Copernicus The Pythagorean theory: planet and fixed stars distinguished; all celestial bodies-revolve around the central fire; no precise account of the movements of heavenly bodies (number mysticism, not practical applications) PLATONIC THEORY: Two kinds of movements: (1) sphere of the fixed stars (shared by all the heavenly bodies) and (2) the independent movements of the sun, moon, and planets along the ecliptic in an opposite sense to that of the movement of the fixed stars. Plato—a Pythagorean: astronomy is geometrical problems, not just pure observations; mathematical structure of the universe. Problem of the motions of the planets: wandering planets ; Eudoxus of Cnidus (409-356 BC) 27 concentric spheresfour for each planet and three for the moon and sun; only simple circular motions; model failed to account for the observed phenomena in at least four ways. 1) Figure 8 movements not like the observed variation of planetary retrogradations ;

45. L'Encyclopédie De L'Agora: La Vie De Dion - 3e Partie Translate this page LX. Trame perfide de callippus contre Dion. -LXI. LXII. callippus rassure,par les plus forts serments, la femme et la sœur de Dion. – LXIII. http://agora.qc.ca/reftext.nsf/Documents/Platon--La_vie_de_Dion_-_3e_partie_par_

Accueil Index Catégories Dossiers ... Imprimer La guerre sur Internet Une recension complète du conflit américano-irakien sur Internet. Des centaines d'hyperliens: l'opposition à la guerre ; associé au dossier Platon La vie de Dion - 3e partie Plutarque Présentation première année de la 93e olympiade environ jusqu'à la 3e année de la 106e , 354 ans avant J.-C.. Extrait « Péloponnésiens, leur dit-il, et vous, nos alliés, je vous ai rassemblés ici, afin que vous délibériez sur ce qui vous concerne personnellement; car il me serait honteux de penser à moi quand Syracuse est au moment de périr. Si je ne puis la sauver, j'irai du moins me jeter au milieu des feux qui la consumeront, et m'ensevelir sous ses ruines. Pour vous, si vous daignez encore nous secourir, nous les plus imprudents et les plus malheureux des hommes, venez relever une ville qui est votre ouvrage. Texte XLVII Dès que cette parole qu'on avait eu enfin le courage de prononcer eut été entendue, ce ne fut, de la part des Syracusains, qu'un cri unanime accompagné de larmes de joie; ils suppliaient les dieux de le leur

46. L'Encyclopédie De L'Agora: La Vie De Dion - 2e Partie Translate this page Syracusains il marchait à la tête de ses troupes, couvert d'armes brillantes,ayant à ses côtés Mégaclès son frère et l'Athénien callippus, tous deux http://agora.qc.ca/reftext.nsf/Documents/Platon--La_vie_de_Dion_-_2e_partie_par_

Accueil Index Catégories Dossiers ... Imprimer La guerre sur Internet Une recension complète du conflit américano-irakien sur Internet. Des centaines d'hyperliens: l'opposition à la guerre ; associé au dossier Platon La vie de Dion - 2e partie Plutarque Présentation Extrait Dion parut à la vue des Syracusains: il marchait à la tête de ses troupes, couvert d'armes brillantes, ayant à ses côtés Mégaclès son frère et l'Athénien Callippus, tous deux couronnés de fleurs, et suivis de cent soldats étrangers qui lui servaient de gardes; les autres marchaient en ordre de bataille, sous la conduite de leurs capitaines. Les Syracusains, ravis de les voir, les reçurent comme une pompe sacrée, digne du regard des dieux, et qui leur ramenait, après quarante-huit ans, la liberté et la démocratie, exilées de leur ville. Texte XXII. Enfin Denys, ayant fait vendre tous les biens de Dion, en retint l'argent; il fit quitter à Platon l'appartement qu'il lui avait donné dans ses jardins, et le renvoya au milieu de ses satellites, qui, irrités des conseils qu'il donnait à Denys de renoncer à la tyrannie et de casser sa garde, le haïssaient depuis longtemps et cherchaient à le tuer. Archytas, informé du péril où se trouvait Platon , envoya promptement à Denys, sur une galère à trente rames, des ambassadeurs chargés de lui redemander Platon et de le faire ressouvenir que ce philosophe n'était allé en Sicile que parce qu'Archytas s'était rendu caution auprès de lui qu'il y serait en sûreté. Denys, pour se justifier du reproche de haïr Platon , eut soin de le combler avant son départ de témoignages d'estime et d'amitié; et quand il fut sur le point de s'embarquer: « Platon, lui dit-il, je crois que, de retour à Athènes, vous direz bien du mal de nous avec vos philosophes. - A Dieu ne

47. Creative Essays - Free Essays, Free Term Papers, Free College Essays, Free Book Aristotle refined callippus' geometrical and spherical concepts, and developedthe geocentric theory, which was believed for two thousand years. http://www.freeessay.com/creative/science/skx130.shtml

FREE COLLEGE ESSAYS Home Search Links Contact ... Top 100 Essay Sites PAID ADVERTISEMENT Heliocentrism: The Vatican Menace Bibliography Words: 2686 PAID ADVERTISEMENT Not Free Essay's EssayFind Search Part of the

48. ATHENA: Literature, Books; Pierre Perroud Translate this page 2 (in English, at PERSEUS) · Against Callicles (in English, at PERSEUS) · AgainstCallicles (in English, at THE-TECH.MIT) · Against callippus (in English http://un2sg4.unige.ch/athena/html/author_d.html

Athena getting ready to write (amphora from Nola). ATHENA Alphabetical List Authors whose name begin with "D" DAGONET, Henri: DAHLGREN, Carl Fredrik: DAHN, Felix: Ein Kampf um Rom (auf Deutsch, in GUTENBERG-DE) DALTON, John: Experimental Enquiry into the Proportion of the Several Gases or Elastic Fluids, Constituting the Atmosphere (in English, at GIUNTA) DAM, Kenneth and LIN, Herbert: Cryptography's Role in Securing the Information Society (in English, at NAP) DANA, Marvin: Within the Law (in English, at PG) DANDREY, P., PARIAN, A., RAYNOUARD, A.: Jean de La Fontaine. L'Abeille et le Papillon. La Transformation des Fables DANGEAU, Philippe de Courcillon: D'ANNUNZIO, Gabriele: Alcyone (in italiano, a UNIMI/MANUZIO) Alcyone (in italiano, a LIBERLIBER) Alcyone (in italiano, a UNIMI/MANUZIO) Il Piacere (in italiano, a LIBERLIBER) Il Piacere (in italiano, a UNIMI/MANUZIO) Il Piacere (in italiano, a CRS4) Le Novelle della Pescara (in italiano, a UNIMI/MANUZIO) Le novelle della Pescara (in italiano, a LIBERLIBER) DANTE ALIGHIERI: Divina Commedia (in English, at CCEL)

49. Bigchalk: HomeworkCentral: Time Measurement (Reference) Equation of Time; History of Time; History of Time From Thales to callippusCLOCKS; Introduction; Sundials; Clepsydra; Astrolabe; Pendulum http://www.bigchalk.com/cgi-bin/WebObjects/WOPortal.woa/Homework/High_School/Ref

Home About Us Newsletters My Products ... Product Info Center Email this page to a friend! K-5 Time Measurement document.write(''); document.write(''); document.write(''); document.write(''); HOROLOGY Electrical Horology Systems Equation of Time History of Time ... Contact Us

50. Bigchalk: HomeworkCentral: Horology (Time Measurement) Analemmas, Mean Time Analemmatic Sundial; Electrical Horology Systems; Equationof Time; History of Time; History of Time From Thales to callippus. http://www.bigchalk.com/cgi-bin/WebObjects/WOPortal.woa/Homework/Middle_School/R

Home About Us Newsletters My Products ... Product Info Center Email this page to a friend! K-5 Horology document.write(''); document.write(''); document.write(''); document.write(''); Electrical Horology Systems Equation of Time History of Time History of Time From Thales to Callippus ... Contact Us

51. Njudge.htm contains the number of days the Sun spends in each zodiacal sign, and also sayson which day various authorities Euctemon, Eudoxus, callippus place the http://hbar.phys.msu.su/gorm/almagest/njudge.htm

JUDGEMENT ON PTOLEMY Journal for the history of astronomy, 12, p.59, 1981 Ancient Planetary Observations and the Validity of Ephemeris Time. Robert R. Newton (Johns Hopkins University Press, Baltimore, 1976). Pp. xviii+749. $25. For over a decade Robert R. Newton has engaged in the laudable project of analyzing ancient and medieval astronomical observations in order to obtain improved determinations of the retardation of the Earth's rotation and of the Moon's secular acceleration. More recently he has become better known for his prosecution of Ptolemy, whom he considers to be the arch-criminal of science. The present work is concerned with both subjects. The object of this book is to determine whether the rate of the rotation of the Earth is subject to a long-period variation independent of the retardation produced by lunar tidal forces. The method used is to examine ancient and medieval observations of the Sun, Mercury, Venus, and Mars to see whether they show accelerations consistent with such a variation, and then to determine its rate. The results found are not positive, nor are they negative, nor are they even inconclusive; they are simply meaningless. Even accepting the author's statistical analyses of the observations and the accelerations, which are very questionable, the accelerations of Mercury and Venus are, when compared to the solar acceleration, far too low, the acceleration of Mars is too high, and the standard deviations of the estimates are so large as to make ail the numerical estimates, including those for the Sun, without value.

52. Mathematician Index Johann(II) Bernoulli, Johann(III) Bernoulli, Nicolaus(I) Bernoulli, Nicolaus(II)Bombelli, Raphael Brahe, Tycho Bruns, Heinrich callippus Cardano, Girolamo http://members.fortunecity.com/kokhuitan/mathematicianindex.html

Index of Mathematicians Abel, Niels Henrik Apollonius Archimedes Archytas ... Zeno Return to Maths Homepage

53. Bibliotheca Augustana Translate this page Id quidem callippus 1) et Eudoxus 2) per concentricos circulos deducere laborantesnon potuerunt et his omnium in motu sidereo reddere rationem, non solum eorum http://www.fh-augsburg.de/~harsch/Chronologia/Lspost16/Copernicus/kop_c01.html

B I B L I O T H E C A A U G U S T A N A Nicolai Copernici commentariolus D e h y p o t h e s i b u s m o t u u m c a e l e s t i u m a s e c o n s t i t u t i s c o m m e n t a r i o l u s [ P r a e f a t i o ] M ultitudinem orbium caelestium maiores nostros eam maxime ob causam posuisse video, ut apparentem in sideribus motum sub regularitate salvarent. valde enim absurdum videbatur caeleste corpus in absolutissima rotunditate non semper aeque moveri. fieri autem posse animadverterant, ut etiam compositione atque concursu motuum regularium diversimodo ad aliquem situm moveri quippiam videretur. Id quidem Callippus et Eudoxus per concentricos circulos deducere laborantes non potuerunt et his omnium in motu sidereo reddere rationem, non solum eorum, quae circa revolutiones siderum videntur, verum etiam, quod sidera modo scandere in sublime, modo descendere nobis videntur, quod concentricitas minime sustinet. itaque potior sententia visa est per eccentricos et epicyclos id agi , in qua demum maxima pars sapientium convenit.

54. Dem. 50 50.47 When it was manned, callippus, the son of Philon, of Aexone, cameon board, and ordered the pilot to steer the course for Macedonia. http://www.mit.edu/afs/athena/course/21/21h.401/www/local/demosthenes_50.html

Demosthenes (50), Apollodorus against Polycles In suits of this nature, men of the jury, it is fitting that those who are to render a decision, as well as the litigants themselves, should give the closest attention. For the suit is not a private one concerning Polycles and myself alone, but it touches also the interests of the state as well. In cases where the charges indeed are of a private nature, but the injury is public, it is surely fitting that you should listen and decide aright. If I had come before you quarrelling with Polycles about a contract of some other sort, the contest would have concerned Polycles and myself alone; but as it is, the question concerns the succession to a ship, and extra trierarchal expenses for five months and six days, and it concerns also the laws, whether they are to be in force, or not. It seems to me, therefore, to be necessary to explain all the facts to you from the beginning. And by the gods, men of the jury, I beg you not to think that I am talking idly, if I set forth at some length what I have expended and what I have done, to show that my several services were rendered opportunely, and that they were helpful to the state. If anyone is able to show that I am uttering falsehoods, let him get up in the time allotted to me and disprove whatever statement I may make to you which he holds to be false. But if my statements are true, and no one would contradict them save the defendant, I make of you all a request that is fair.

55. DGC Linksammlung Sonnenuhren Translate this page Die Geometrie des Krieges, 1500-1750. Von Thales zu callippus Eine kleine Einführungin deutsch Sonnenuhren. Interessante Thesen Startime sundial. http://www.dg-chrono.de/links/dgc-links-sonnenuhren.html

Sonnenuhren Sonnenuhren im WWW: Die gewaltige “Sundials.co.uk” GNOMONICA - Meridiane e Orologi Solari - italienische Impressionen Eine wissenschaftliche Herangehensweise... Die Geometrie des Krieges, 1500-1750 ... Gnomonica e Fabio Savian

56. Hypertext Library -- Authors D Androtion Against Apatourius Against Aphobus 2 Against Aristocrates Against Aristogiton2 Against Boeotus Against Callicles Against callippus Against Conon http://www.tulane.edu/~jhouston/library/authorD.htm

Authors D Dante Alighieri Divine Comedy (with commentary, uses frames) Clarence Darrow The Lord's Day Alliance Facing Life Fearlessly Absurdities Of The Bible Charles Darwin The Voyage of the Beagle The Voyage of the Beagle Richard Harding Davis Adventures and Letters of Richard Harding Davis Her First Appearance The King's Jackal The Lion and the Unicorn ... The Scarlet Car (illustrated) Soldiers of Fortune Daniel Defoe Robinson Crusoe Demosthenes Against Androtion Against Apatourius Against Aphobus 2 Against Aristocrates ... The Uncommercial Traveller Emily Dickinson Poems (Third Series, 1896) Poems by Emily Dickinson (Second Series, 1891) Denis Diderot Search the Encyclopedie for headwords Dinarchus Against Philocles Against Demosthenes Against Aristogiton Diodorus The Historical Library of Diodorus the Sicilian Thomas Dixon The Foolish Virgin John Donne Death's Duel Devotions upon emergent occasions Fyodor Dostoevsky Crime and Punishment Sir Arthur Conan Doyle The Adventures of Gerard The Adventures of Sherlock Holmes ... The Vital Message Dryden, John, trans. (Vergil) The Aeneid Selected Poems Alexandre Dumas The Man in the Iron Mask The Three Musketeers email me!

57. Aristotle's Rhetoric: Book II - Chapter 23 since it is not well to be unpopular or you answer, No, it is well to be educated,since it is well to be wise. The Art of Rhetoric of callippus is made up http://www.public.iastate.edu/~honeyl/Rhetoric/rhet2-23.html

Book II - Chapter 23 1. One line of positive proof is based upon consideration of the opposite of the thing in question. Observe whether that opposite has the opposite quality. If it has not, you refute the original proposition; if it has, you establish it. E.g. "Temperance is beneficial; for licentiousness is hurtful." Or, as in the Messenian speech, "If war is the cause of our present troubles, peace is what we need to put things right again." Or For if not even evil-doers should Anger us if they meant not what they did, Then can we owe no gratitude to such As were constrained to do the good they did us. Or Since in this world liars may win belief, Be sure of the opposite likewise-that this world Hears many a true word and believes it not. 2. Another line of proof is got by considering some modification of the key-word, and arguing that what can or cannot be said of the one, can or cannot be said of the other: e.g. "just" does not always mean "beneficial," or "justly" would always mean "beneficially," whereas it is not desirable to be justly put to death.

58. Pausanias Attica The thesmothetae (lawgivers) were painted by Protogenes 3 the Caunian, and Olbiades4 portrayed callippus, who led the Athenians to Thermopylae to stop the http://www.earth-history.com/Ancient-texts/Greece/Pausanias/pausanias-attica-boo

Search my website, type a word or phrase and hit search Search Query Sign my Guest Book Pausanias c. 160 CE Description of Greece with an English Translation by W.H.S. Jones, Litt.D. in 4 Volumes. Volume 1.Attica and Cornith, Cambridge, MA, Harvard University Press; London, William Heinemann Ltd., 1918. Book I: Attica [1.1.1] On the Greek mainland facing the Cyclades Islands and the Aegean Sea the Sunium promontory stands out from the Attic land. When you have rounded the promontory you see a harbor and a temple to Athena of Sunium on the peak of the promontory. Farther on is Laurium, where once the Athenians had silver mines, and a small uninhabited island called the Island of Patroclus. For a fortification was built on it and a palisade constructed by Patroclus, who was admiral in command of the Egyptian men-of-war sent by Ptolemy, son of Ptolemy, son of Lagus, to help the Athenians, when Antigonus, son of Demetrius, was ravaging their country, which he had invaded with an army, and at the same time was blockading them by sea with a fleet. [1.1.2] The Peiraeus was a parish from early times, though it was not a port before Themistocles became an archon of the Athenians.

59. References For Callippus References for callippus. Biography in Dictionary of Scientific http//wwwhistory.mcs.st-andrews.ac.uk/history/References/callippus.html. http://www.math.hcmuns.edu.vn/~algebra/history/history/References/Callippus.html

60. World's Literature Against Timotheus. Against Polycles. On the Trierarchic Crown. AppollodorusAgainst callippus. Appollodorus Against Nicostratus. Against Conon. http://griffe.com/projects/worldlit/author.phtml?name=Demosthenes

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