1. Dionysodorus Biography of dionysodorus (BCBC) dionysodorus. Born about 250 BC in Greece http://sfabel.tripod.com/mathematik/database/Dionysodorus.html

Dionysodorus Born: about 250 BC in Greece Died: about 190 BC Show birthplace location Previous (Chronologically) Next Biographies Index 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 Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996

2. DIONYSODORUS De Caunus Translate this page dionysodorus de Caunus Vers 250 – vers 190 av JC. On attribue aussià dionysodorus l’invention d’un cadran solaire conique. http://coll-ferry-montlucon.pays-allier.com/dionyso.htm

DIONYSODORUS de Caunus Vers 250 – vers 190 av J.C. On est à peu près sûr qu’il y eut plusieurs mathématiciens appelés Dionysodorus et cela ne permet pas d’attribuer à chacun la vraie paternité de ses travaux. Strabon, l’historien et géographe grec, fait état d’un mathématicien nommé Dionysodorus d’Amisène (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 l’intersection 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 s’agit d’un personnage cité par Pline l’Ancien 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 l’éruption du Vésuve qui détruisit Pompéi et Herculanum en 79 La ville d’Herculanum fut ensevelie sous une couche de 16

3. History Of Mathematics: Chronology Of Mathematicians 200 B.C.E. dionysodorus of Amisus (c. 200?) *SB http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Chronological List of Mathematicians 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 Table of Contents 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 List of Mathematicians 1700 B.C.E. Ahmes (c. 1650 B.C.E.) *MT 700 B.C.E. Baudhayana (c. 700) 600 B.C.E. 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) 500 B.C.E. 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

4. 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

Greece Cities Abdera: Democritus Alexandria : Apollonius, Aristarchus, Diophantus, Eratosthenes, Euclid , Hypatia, Hypsicles, Heron, Menelaus, Pappus, Ptolemy, Theon Amisus: Dionysodorus Antinopolis: Serenus Apameia: Posidonius Athens: Aristotle, Plato, Ptolemy, Socrates, Theaetetus Byzantium (Constantinople): Philon, Proclus Chalcedon: Proclus, Xenocrates Chalcis: Iamblichus Chios: Hippocrates, Oenopides Clazomenae: Anaxagoras Cnidus: Eudoxus Croton: Philolaus, Pythagoras Cyrene: Eratosthenes, Nicoteles, Synesius, Theodorus Cyzicus: Callippus Elea: Parmenides, Zeno Elis: Hippias Gerasa: Nichmachus Larissa: Dominus Miletus: Anaximander, Anaximenes, Isidorus, Thales Nicaea: Hipparchus, Sporus, Theodosius Paros: Thymaridas Perga: Apollonius Pergamum: Apollonius Rhodes: Eudemus, Geminus, Posidonius Rome: Boethius Samos: Aristarchus, Conon, Pythagoras Smyrna: Theon Stagira: Aristotle Syene: Eratosthenes Syracuse: Archimedes Tarentum: Archytas, Pythagoras Thasos: Leodamas Tyre: Marinus, Porphyrius Mathematicians Thales of Miletus (c. 630-c 550)

5. 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

Dionysodorus Born: about 250 BC in Caunus, Caria, Asia Minor (now in Turkey) Died: about 190 BC Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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.

6. 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

Dionysodorus Born: about 250 BC in Caunus, Caria, Asia Minor (now in Turkey) Died: about 190 BC Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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.

7. 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 Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: F D Cousins, Sundials (London, 1969). T L Heath, A History of Greek Mathematics II (Oxford, 1921). I Thomas, Selections illustrating the history of Greek mathematics II (London, 1941). Articles: Bibliotheca mathematica 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/history/References/Dionysodorus.html

8. The Internet Classics Archive | Against Dionysodorus By Demosthenes Against dionysodorus By Demosthenes Translated by Vince/DeWitt/Murray Thiswork is only provided via the Perseus Project at Tufts University. http://classics.mit.edu/Demosthenes/dem.56.html

Home Browse and Comment Search ... Help Against Dionysodorus By Demosthenes Translated by Vince/DeWitt/Murray This work is only provided via the Perseus Project at Tufts University. You may begin reading the English translation as well as the Greek version and a Greek version with morphological links If you have any questions about the Perseus Project texts in the Internet Classics Archive, including the Perseus Project , please consult the help pages . Please direct any inquiries about the texts themselves to the Perseus Project Webmaster at webmaster@perseus.tufts.edu. Commentary: No comments have been posted about Against Dionysodorus Add your own comment to start discussion. Reader Recommendations: Recommend a Web site you feel is appropriate to this work, list recommended Web sites , or visit a random recommended Web site

9. 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

References for Dionysodorus Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: F D Cousins, Sundials (London, 1969). T L Heath, A History of Greek Mathematics II (Oxford, 1921). I Thomas, Selections illustrating the history of Greek mathematics II (London, 1941). Articles: Bibliotheca mathematica 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/history/References/Dionysodorus.html

10. 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

Home Browse and Comment Search ... Help Euthydemus By Plato Commentary: A few comments have been posted about Euthydemus Read them or add your own Reader Recommendations: Recommend a Web site you feel is appropriate to this work, list recommended Web sites , or visit a random recommended Web site Download: A 81k text-only version is available for download Euthydemus By Plato Written 380 B.C.E Translated by Benjamin Jowett Persons of the Dialogue SOCRATES, who is the narrator CRITO CLEINIAS EUTHYDEMUS DIONYSODORUS CTESIPPUS Scene The Lyceum. Crito. Who was the person, Socrates, with whom you were talking yesterday at the Lyceum? There was such a crowd around you that I could not get within hearing, but I caught a sight of him over their heads, and I made out, as I thought, that he was a stranger with whom you were talking: who was he? Socrates. There were two, Crito; which of them do you mean? Cri. The one whom I mean was seated second from you on the right-hand side. In the middle was Cleinias the young son of Axiochus, who has wonderfully grown; he is only about the age of my own Critobulus, but he is much forwarder and very good-looking: the other is thin and looks younger than he is.

11. The Internet Classics Archive | Against Dionysodorus By Demosthenes Against dionysodorus by Demosthenes, part of the Internet Classics Archive http://chemicool.com/Demosthenes/dem.56.html

Home Browse and Comment Search ... Help Against Dionysodorus By Demosthenes Translated by Vince/DeWitt/Murray This work is only provided via the Perseus Project at Tufts University. You may begin reading the English translation as well as the Greek version and a Greek version with morphological links If you have any questions about the Perseus Project texts in the Internet Classics Archive, including the Perseus Project , please consult the help pages . Please direct any inquiries about the texts themselves to the Perseus Project Webmaster at webmaster@perseus.tufts.edu. Commentary: No comments have been posted about Against Dionysodorus Add your own comment to start discussion. Reader Recommendations: Recommend a Web site you feel is appropriate to this work, list recommended Web sites , or visit a random recommended Web site

12. 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

Alkmaion de Crotone Anaxagore de Clazomènes Alkmaion de Crotone Anaxagore de Clazomènes ... d'Elée

13. Texts In Perseus For Browsing: English 55.1). Against dionysodorus (Dem. 56.1). Against Eubulides (Dem. http://www.perseus.tufts.edu/Texts/chunk_TOC.html

Perseus Tufts Collections: Classics Papyri Renaissance London ... Support Perseus Primary Text Index: English Translations 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. Index of Authors Aeschines Aeschylus Andocides Antiphon ... Xenophon Authors and their works: 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)

14. Cubes In Greece A Story Tells Us About King Minos Being dionysodorus (about 250 190 BC) solved the problem of the cubicequation using the intersection of a parabola and a hyperbola. http://hem.passagen.se/ceem/greece.htm

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.

15. 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

Home Directory/Search Online Library News ... Travel/Hotels EUTHYDEMUS by Plato, Part 07 Plato Index To be sure they do, said Ctesippus; and they speak coldly of the insipid and cold dialectician. You are abusive, Ctesippus, said Dionysodorus, you are abusive! Indeed, I am not, Dionysodorus, he replied; for I love you and am giving you friendly advice, and, if I could, would persuade you not like a boor to say in my presence that I desire my beloved, whom I value above all men, to perish. 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. Contradiction! said Dionysodorus; why, there never was such a thing.

16. 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

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (1317*) Adrianus , Romanus (419) Aepinus , Franz (822) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (2362*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912*) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

17. 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

Home Directory/Search Online Library News ... Travel/Hotels EUTHYDEMUS by Plato, Part 14 Plato Index That which has the quality of vision clearly. And you also see that which has the quality Of vision? he said. Yes, I do. Then do you see our garments? Yes. Then our garments have the quality of vision. They can see to any extent, said Ctesippus. What can they see? Nothing; but you, my sweet man, may perhaps imagine that they do not see; and certainly, Euthydemus, you do seem to me to have been caught napping when you were not asleep, and that if it be possible to speak and say nothing-you are doing so. And may there not be a silence of the speaker? said Dionysodorus. Impossible, said Ctesippus. Or a speaking of the silent? That is still more impossible, he said. But when you speak of stones, wood, iron bars, do you not speak of the silent? Not when I pass a smithy; for then the iron bars make a tremendous noise and outcry if they are touched: so that here your wisdom is strangely mistaken, please, however, to tell me how you can be silent when speaking (I thought that Ctesippus was put upon his mettle because Cleinias was present). When you are silent, said Euthydemus, is there not a silence of all things?

18. 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

Hudson's Bay Company 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,

19. Kei Ishii & Bernd Lutterbeck folgender platonischer Dialog abgedruckt dionysodorus dionysodorus. http://ig.cs.tu-berlin.de/w99/1332l501/t07/

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)

20. 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

Ancient Philosophy Two Kinds of Paideia in Plato's Euthydemus Rosamond Kent Sprague 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.

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