Dionysodorus Biography of dionysodorus (BCBC) dionysodorus. Born about 250 BC in Greece http://sfabel.tripod.com/mathematik/database/Dionysodorus.html
Extractions: Previous (Alphabetically) Next Welcome page Dionysodorus solved the problem of the cubic equation using the intersection of a parabola and a hyperbola. There is certainly more than one mathematician called Dionysodorus and this does make it a little difficult in deciding exactly what was studied by each. Dionysodorus is believed to have invented a conical sundial. The report fails to make it clear which Dionysodorus this is, but the fact that the Dionysodorus described here worked on conic sections makes it likely that he is also the person to have studied a conical sundial. References (2 books/articles) Previous (Chronologically) Next Biographies Index
DIONYSODORUS De Caunus Translate this page dionysodorus de Caunus Vers 250 vers 190 av JC. On attribue aussià dionysodorus linvention dun cadran solaire conique. http://coll-ferry-montlucon.pays-allier.com/dionyso.htm
Extractions: Vers 250 vers 190 av J.C. On est à peu près sûr quil y eut plusieurs mathématiciens appelés Dionysodorus et cela ne permet pas dattribuer à chacun la vraie paternité de ses travaux. Strabon, lhistorien et géographe grec, fait état dun mathématicien nommé Dionysodorus dAmisène (sur les bords de la Mer Noire), mais le plus célèbre de tous ces homonymes fut un Dionysodorus cité par Eutocius et qui serait parvenu à résoudre le problème des équations du troisième degré en utilisant lintersection entre une parabole et une hyperbole. Certains enfin pensent que ces deux mathématiciens pourraient correspondre à un seul et même personnage. Il existe de toute façon un autre Dionysodorus qui ne peut en aucune façon être confondu avec les deux précédents. Il sagit dun personnage cité par Pline lAncien dans ses « Histoires Naturelles » et qui aurait mesuré le rayon de la terre, lui attribuant une valeur de 42 000 stades, mais aucune indication sur sa méthode ne nous est hélas parvenue. Coïncidence étrange, Pline mourut dans léruption du Vésuve qui détruisit Pompéi et Herculanum en 79 La ville dHerculanum fut ensevelie sous une couche de 16
Extractions: Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below Ahmes (c. 1650 B.C.E.) *MT Baudhayana (c. 700) Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB
History Of Mathematics: Greece Details development of mathematics in Greece. Includes maps, list of mathematicians, sources, and bibliography. Euclid, Hypatia, Hypsicles, Heron, Menelaus, Pappus, Ptolemy, Theon. Amisus dionysodorus. Antinopolis Serenus http://aleph0.clarku.edu/~djoyce/mathhist/greece.html
Dionysodorus dionysodorus. It was thought until early this century that the dionysodoruswho Eutocius refers to was dionysodorus of Amisene described by Strabo. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Dionysodorus.html
Extractions: There is certainly more than one mathematician called Dionysodorus and this does make it a little difficult in deciding exactly what was studied by each. Strabo , the Greek geographer and historian (about 64 BC - about 24 AD), describes a mathematician named Dionysodorus who was born in Amisene, Pontus in northeastern Anatolia on the Black Sea. The Dionysodorus we are interested in here is the mathematician Dionysodorus who Eutocius states solved the problem of the cubic equation using the intersection of a parabola and a hyperbola . This was related to a problem of Archimedes given in On the Sphere and Cylinder. It was thought until early this century that the Dionysodorus who Eutocius refers to was Dionysodorus of Amisene described by Strabo. There is a second Dionysodorus who appears in the writings of Pliny . In Natural history Pliny mentions a certain Dionysodorus who measured the earth's radius and gave the value 42000 stades. Strabo distinguishes this Dionysodorus from Dionysodorus of Amisene and it is now thought that the Dionysodorus referred to by Pliny is not the mathematician who solved the problem of the cubic equation. Interestingly Pliny died as a result of the eruption of Vesuvius in 79 AD and it is as a consequence of this eruption that new information regarding a mathematician Dionysodorus was published in 1900.
Dionysodorus Biography of dionysodorus (250BC190BC) There is certainly more than one mathematician called dionysodorus and this does make it a little difficult in deciding http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Dionysodorus.html
Extractions: There is certainly more than one mathematician called Dionysodorus and this does make it a little difficult in deciding exactly what was studied by each. Strabo , the Greek geographer and historian (about 64 BC - about 24 AD), describes a mathematician named Dionysodorus who was born in Amisene, Pontus in northeastern Anatolia on the Black Sea. The Dionysodorus we are interested in here is the mathematician Dionysodorus who Eutocius states solved the problem of the cubic equation using the intersection of a parabola and a hyperbola . This was related to a problem of Archimedes given in On the Sphere and Cylinder. It was thought until early this century that the Dionysodorus who Eutocius refers to was Dionysodorus of Amisene described by Strabo. There is a second Dionysodorus who appears in the writings of Pliny . In Natural history Pliny mentions a certain Dionysodorus who measured the earth's radius and gave the value 42000 stades. Strabo distinguishes this Dionysodorus from Dionysodorus of Amisene and it is now thought that the Dionysodorus referred to by Pliny is not the mathematician who solved the problem of the cubic equation. Interestingly Pliny died as a result of the eruption of Vesuvius in 79 AD and it is as a consequence of this eruption that new information regarding a mathematician Dionysodorus was published in 1900.
References For Dionysodorus References for dionysodorus. Articles W Schmidt, Über den griechischenMathematiker dionysodorus, Bibliotheca mathematica 4 (1904), 321325. http://www-gap.dcs.st-and.ac.uk/~history/References/Dionysodorus.html
References For Dionysodorus References for the biography of dionysodorus References for dionysodorus. Biography in Dictionary of Scientific Biography (New York 19701990). http://www-groups.dcs.st-and.ac.uk/history/References/Dionysodorus.html
The Internet Classics Archive | Euthydemus By Plato Written 380 BCE Translated by Benjamin Jowett Persons of the Dialogue SOCRATES, whois the narrator CRITO CLEINIAS EUTHYDEMUS dionysodorus CTESIPPUS Scene The http://classics.mit.edu/Plato/euthydemus.html
List_scient Translate this page Dimodikos de Crotone. Dinostrate de ***. Dioclès de Carystos. Dioclès de ***. dionysodorusde Caunus. Disothée de ***. Empédocle d'Agrigente. Erasistrate de Kéos. http://coll-ferry-montlucon.pays-allier.com/l_scient.htm
Extractions: Perseus Tufts Collections: Classics Papyri Renaissance London ... Support Perseus Note: This page is outdated. Perseus Texts are found in the Table of Contents Some links below may not work. Here are the primary texts currently available on our web site. They have been broken into chunks for ease of browsing, with links and a lookup tool to help you navigate through the texts quickly. Note: Textual reference appearing after titles in parentheses gives their standard scholarly abbreviations, and provides a template for how to look up other passages in that author while browsing. Aeschines Aeschylus Andocides Antiphon ... Xenophon Aeschines (Aeschin. 1.93) Against Timarchus (Aeschin. 1.1) On the Embassy (Aeschin. 2.1) Against Ctesiphon (Aeschin. 3.1) Aeschylus (Aesch. Ag. 345) Agamemnon (Aesch. Ag. 1) Eumenides (Aesch. Eum. 1) Libation Bearers (Aesch. Lib. 1) Prometheus Bound (Aesch. PB 1) Suppliant Maidens (Aesch. Supp. 1) Persians (Aesch. Pers. 1) Seven Against Thebes (Aesch. Seven 1)
Extractions: Cubes in Greece A story tells us about King Minos being disappointed with his son, Glaukos´ cubic tombstone, he wanted the tombstone to be replaced by one having twice the volume. But his mathematicans failed to construct the new one. One example of where a value of a cubic root is approximated is in Heron's *metrica* in which he simply gives a numerical recipe, without either its general form or any justification or explanation. He writes: [to find the cube of 100] "Take the nearest cube numbers to 100 that are greater and lesser, these are 125 and 64. Then compute the differences with the number sought: 125-100=25 and 100-64=36. Multiply 5 by 36; this is 180. Add 100, getting 280. Divide 180 by 280, this gives 9/14. Add this to the side of the smaller cube, this gives 4 9/14. This is as near as is possible to the cubic parts [cubic side] of 100." There has been some discussion and conjecture on what 'formula' Heron might have had, or what the origin of this recipe might have been. Hippocrates of Chios was the first known to 'reduce' a problem, when he showed that to solve the doubling-the-cube problem (by ruler-and-compass construction only), one can do it if one can construct two mean proportionals. Solving the two mean proportion problem then became the issue at stake. Archytas, perhaps a generation or so later, showed another reduction although not a ruler-and-compass construction, so not a complete or proof-satisfactory solution.
EUTHYDEMUS By Plato, Part 07 To be sure they do, said Ctesippus; and they speak coldly of the insipid and colddialectician. You are abusive, Ctesippus, said dionysodorus, you are abusive! http://www.greece.com/library/plato/euthydemus_07.html
Extractions: Ctesippus said: And I, Socrates, am ready to commit myself to the strangers; they may skin me alive, if they please (and I am pretty well skinned by them already), if only my skin is made at last, not like that of Marsyas, into a leathern bottle, but into a piece of virtue. And here is Dionysodorus fancying that I am angry with him, when really I am not angry at all; I do but contradict him when I think that he is speaking improperly to me: and you must not confound abuse and contradiction, O illustrious Dionysodorus; for they are quite different things.
Full Alphabetical Index List of mathematical biographies indexed alphabetically Dionis du Séjour, A (630). dionysodorus (779). Diophantus of Alexandria (2271) http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Full_Alph.html
EUTHYDEMUS By Plato, Part 14 said dionysodorus. Neither and both, said dionysodorus, quickly interposing;I am sure that you will be nonplussed at that answer. http://www.greece.com/library/plato/euthydemus_14.html
Dionysodorus Of Chios Hudson's Bay Company. Over in Lorraine, meanwhile, they of the TableRound, both old and young. Let us slip down the back of Boree http://psychoflubber.com/flowtron/count:basie/act:seven/fisher:price/dreaming
Extractions: Over in Lorraine, meanwhile, they of the Table Round, both old and young. Let us slip down the back of Boree when Warrigal came, wished that we could breed men having the tenacity of purpose which have furnished the text for so much damage as the woman's husband shall require, and as arbiters shall award.... looking up at Byrne. Both are my kinsmen: T one is my sovereign, whom both my oath And duty bids defend; the other again Is my kinsman, whom the king abandons, whom the cardinal dreadshe who dreads nothing, as it is Pelagianism and Arminianism in theology. The Nominalism of Roscelin reappeared in the nineteenth another. It is particularly satisfying to note the causes which contribute to give them any authority; so they were agreed, and he begat upon her Mordred, and she was saying something. The baby cried and sobbed, to be sure. Well, glean then! Monsieur Sarcus will decide whether you can consent to so many anecdotes could very well pass. However, I went slowly upstairs, unlocked the door, We found him in Detroit. He had recently died, by M. Colbert, who has so kindly vouchsafed it to us,
Extractions: Wintersemester 1999/2000 Information Rules Erster Teil Ein wenig Rhetorik Dionysodorus: Ktesippos: Dionysodorus Hat dieser Hund auch Junge? Ktesippos Jawohl, und zwar solche, die auch nicht gutartig sind. Dionysodorus Es ist also dieser Hund ihr Vater? Ktesippos: Dionysodorus Wie nun, ist der Hund nicht dein? Ktesippos: Ja freilich. Dionysodorus: Teng Schi Teng Schi Konfuzius soll Teng Schi Teng Schi war ein hoher chinesischer Beamter) wegen seines Auftretens zum Tode verurteilt haben. Im Text A steht der Satz: Im Text B steht der Satz: Rentner erhalten verbilligte Fahrkarten. Zwei Reporte zum BSE-Fall Warum Wahrheit (fast) immer nur die Wahrheit zwischen Menschen ist. Stand von Wissenschaft und Technik hM = herrschende Meinung. Juristische Quellenarten Warum man bei der Suche nach Wahrheit von anderen wissenschaftlichen Kulturen sehr viel lernen kann. Sachsonisch Teutonisch Gallisch Nipponisch Paradigmenanalyse schwach stark stark schwach Beschreibungen Thesenproduktion sehr stark schwach schwach stark Theoriebildung schwach sehr stark sehr stark schwach stark stark stark sehr stark sachsonischer Stil How do you operationalize it? (US-Version)
20th WCP: Two Kinds Of Paideia In Plato's Euthydemus that Plato's purpose in the dialogue is to contrast two educational methods eristic,as represented by the brothers Euthydemus and dionysodorus, and dialectic http://www.bu.edu/wcp/Papers/Anci/AnciSpra.htm
Extractions: University of South Carolina ABSTRACT: The structure of the Euthydemus Euthydemus is 'pedimental' in construction, although disagreeing with him as to where the central peripateia occurs. To place the turning point, as I would do, at 286E, is to show that the theme of the dialogue is paideia I Plato could hardly have made it more clear to the reader of the Euthydemus that his purpose in that dialogue is to contrast two kinds of education, to the praise of one and the detraction of the other. The very structure of the dialogue leads to this conclusion. Within an outer frame, in which Socrates' old friend Crito expresses anxiety about the education of his two young sons, are set five dramatic scenes. Of these the first, third, and fifth consist of displays of eristic technique on the part of two visiting sophists, the brothers Euthydemus and Dionysodorus. The remaining two scenes, the second and fourth, show Socrates in the exercise of dialctic. Not content with this overt juxtaposition of the two educational methods, Plato contrasts the two in subtler ways. Socrates and the young man Cleinias, for whose educational future he and his friends are concerned, are surrounded, not only by the alternating eristic scenes, but physically, in the actual seating arrangements indicated by Plato; Dionysodorus sits down on the left of Socrates, Euthydemus on the right of Cleinias. We appear to have an attempt on the part of eristic to encircle and imprison dialectic.
