21. Diocles Of Carystus diocles of Carystus Studies in Ancient Medicine, 22. This book presentsand discusses all the fragments and testimonies to diocles' views. http://www.brill.nl/product.asp?ID=870

22. Diocles Of Carystus diocles of Carystus Studies in Ancient Medicine, 23. This book presentsand discusses all the fragments and testimonies to diocles' views. http://www.brill.nl/product.asp?ID=9502

23. TMTh:: DIOCLES OF ALEXANDRIA MATHEMATICIAN, PHYSICIST diocles OF ALEXANDRIA (fl. 2nd century BC)Work diocles lived in Alexandria. His principal work is On http://www.tmth.edu.gr/en/aet/4/38.html

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN, PHYSICIST DIOCLES OF ALEXANDRIA (fl. 2nd century BC) Work Diocles lived in Alexandria. His principal work is: "On burning mirrors": A treatise on focal lenses that also deals with two familiar mathematical problems of the age: 1. "Archimedes' Problem", that is, how to divide a sphere by a plane in such a way that volumes of the resulting segments have a given ratio. Diocles solved it by means of two conical sections, an ellipse and an isosceles hyperbola. 2. "The Delian problem", that is, the duplication of the cube. Diocles drew a curve with two branches symmetrical about a cusp on the diameter and proceeding to infinity; this has since been known as the "cissoid of Diocles". In the 17th century Newton devised an instrument to trace it in a single movement Fragments of Diocles' work exist in Arabic translation in the Escorial (Spain). Contact the Technology Museum

24. DIOCLES Translate this page diocles. Médecin et chirurgien disciple d’Aristote. Cap Sounion.Projet Educatif Européen « SOCRATES COMENIUS » - Collège Jules http://coll-ferry-montlucon.pays-allier.com/diocles.htm

D IOCLES Médecin et chirurgien disciple d’ Aristote Cap Sounion Projet Educatif Européen « SOCRATES COMENIUS » - Collège Jules Ferry (Montluçon) LES ORIGINES DU PATRIMOINE SCIENTIFIQUE EUROPEEN Coordonnatrice du Projet : Melle BANKO Martine. Animateur du Projet : Mr GIRAUD Jean Auteur du document : Mme GALIOU Thaleia.Créateur de la page Web : Mr OLLIER Jean Pierre

25. DIOCLES De Carystos Translate this page diocles de Carystos Vers 240 – vers 180 AV JC. Dioclès était contemporaind’Apollonios. On ne connaît pratiquement rien de http://coll-ferry-montlucon.pays-allier.com/dioclkar.htm

D IOCLES de Carystos Vers 240 – vers 180 AV J.C. Dioclès était contemporain d’ Apollonios . On ne connaît pratiquement rien de lui à part quelques fragments de son travail cités par Eutocius dans son commentaire du texte d’ Archimède : « La sphère et le cylindre ». Ce texte nous apprend que pour tenter de résoudre le problème de la « duplication du cube , Dioclès inventa une courbe appelée « cissoïde ». Il aurait aussi travaillé sur un problème posé par Archimède et consistant à couper une sphère par un plan de telle sorte que les volumes des deux calottes obtenues soient dans un rapport donné. Des extraits notés par Eutocius à partir de l’ouvrage de Dioclès « Les miroirs incendiaires », ouvrage aujourd’hui disparu, montre que Dioclès fut le premier à démontrer la propriété focale des miroirs paraboliques. Bien que cet ouvrage ait été par la suite totalement ignoré par les Grecs, il eut une influence considérable sur les mathématiciens arabes. Cette connaissance ne parvint en Occident que vers l’an 1200 grâce à une traduction latine d’un ouvrage d’Al-Haytham. C’est cette traduction tardive qui permit de recueillir quelques nouvelles informations sur la vie de Dioclès. Lorsque

26. Cisoide De Diocles Translate this page CISOIDE DE diocles. Se trata de la cisoide más famosa. Es la curva cisoidede un punto O de una circunferencia respecto a la circunferencia http://centros5.pntic.mec.es/ies.marques.de.santillana/tallerma/conc0001/cis_dio

CISOIDE DE DIOCLES

27. CABRI CABRIWEB Translate this page La curva cisoide más conocida es la cisoide de diocles, utilizada pordiocles para resolver el problema de la duplicación del cubo. http://centros5.pntic.mec.es/ies.marques.de.santillana/tallerma/cisoide.htm

CURVAS CISOIDE S Las curvas cisoides se obtienen a partir de dos curvas C1 y C2 y de un punto fijo O utilizando el siguiente procedimiento: El siguiente applet muestra una cisoide en la que el polo es el punto O, la circunferencia es la primera curva y la recta tangente en el punto de la circunferencia diametralmente opuesto a O es la segunda curva. The thirteen books of the Elements y (R + x) = (R - x) (KM/OM = PN/ON; elevando al cuadrado: y /(R-x) = ON*NO' /ON , y /(R-x) = (R-x)/(R+x), y (R+ x) = (R - x)

28. Cisoide De Diocles Translate this page Cisoide de diocles. Fecha de primera versión 02-04-98. La ecuación genéricade la cisoide de diocles en coordenadas cartesianas es y 2 = x 2 /(2a -x). http://personal.redestb.es/javfuetub/Geometria/Curvas/Cisoide.htm

Cisoide de Diocles y = x /(2a -x) x = 2a sen q y = 2a sen q /cos q Dibuja la curva. http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html

29. Diocles - Wikipedia diocles. In Greek mythology, diocles was one of the first priests of Demeterand one of the first to learn the secrets of the Eleusinian mysteries. http://www.wikipedia.org/wiki/Diocles

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Diocles From Wikipedia, the free encyclopedia. In Greek mythology , Diocles was one of the first priests of Demeter and one of the first to learn the secrets of the Eleusinian mysteries Edit this page Discuss this page Older versions ... Recent changes It was last modified 21:19 Sep 3, 2002. All text is available under the terms of the GNU Free Documentation License Main Page Recent changes Random page ... Bug reports

30. The Charioteer Diocles Number, C304. Title, The Charioteer diocles. Findspot, Rome. Language,Latin. Source, ILS 5287. Trans, David Potter. Introduction, This inscription http://www.umich.edu/~classics/programs/class/cc/372/sibyl/db/C304.html

Number Title The Charioteer Diocles Findspot Rome Language Latin Source ILS 5287 Trans David Potter Introduction This inscription provides invaluable information about the way that a career unfolded, the way that events were ranked, the number of races that a charioteer might drive in, the way that races were run and the history of chariot racing in the 2nd century AD. Gaius Appu]leius Diocles, charioteer of the Red faction , a Spanish Lusitanian by birth, he lived for 42 years, 7 months and 23 days. He first raced for the White faction in the consulship of Acilius Aviola and Corellius Pansa . He won his first race for the same faction in the consulship of Manius Acilius Glabrio and Gaius Bellicius Torquatus . He raced for the first time for the Green faction in the second consulship of Torquatus Asprenas and Annius Libo . He won for the first time for the Red faction in the consulship of Laenas Pontianus and Antonius Rufinus Totals: he raced four hourse chariots for 24 years, he started in 4257 races, he won 1,463 times. In the first race after the procession: 110 times, in singles , 1064 times. He won 92 major prizes. Of these, 32 were of 30,000 HS, three of them with six-horse teams; 28 of 40,000 HS, two of them in races with six horse chariots, 38 of 50,000 HS, one of these in a seven-horse chariot; 3 of 60,000 HS. In

31. ( DIOCLES - EHUD ) diocles ( ) DIRK I COUNT OF HOLLAND ( - 0939) DIRK II OF HOLLAND( - 0988) DIRK III OF HOLLAND ( - 1039) Luke DIRSCHERL ( - http://members.tripod.com/richwendling/index/ind0019.html

Index of Persons DIOCLES DIRK I COUNT OF HOLLAND DIRK II OF HOLLAND DIRK III OF HOLLAND ... DODG (ABT 1534 - ) DOGBERT DOGBERT DOGOBERT DOLL ... Maurice DOLT (16 APR 1883 - 06 JUL 1952) Robert Rawson DOLT William Sherman DOLT ADELINE de DOMFRONT MARIA DOMINICO (ABT 1185 - ) DOMONGART KING OF DALRIADA DOMONGART (DONGARD) II DONACH MAOL-NA-NIBO KING OF LEINSTER DONAL KING OF LEINSTER ... ELIZABETH DORR (DOW?) (06 JAN 1801 - 08 AUG 1840) DOUCE HEIRESS OF PROVENCE Archibald DOUGLAS Earl of Angus Martha DOW (20 JUL 1799 - ) Rebecca DOW (07 JAN 1808 - ) THOMAS DOW (DORR?) CAPTAIN Glenn DOWNEY Norlin DOWNEY CATHERINE DE DRAYTON ... ALICE de DRIBY (1340 - 12 OCT 1412) JOHN de DRIBY ( - AFT 30 NOV 1357) DUACH LADHRACH 59TH MONARCH ( - BC 0737 ) DUBUN PATIENCE PATRICIA DUDLEY (04 FEB 1616 - 08 FEB 1690) ROGER DUDLEY (1535 - BETWEEN 1585 AND 1590) THOMAS DUDLEY (12 OCT 1576 - ) Margaret DUKENFIELD DUMA DUMAH Charles DUN ... DUNCAN I MACCRINAN KING OF SCOTLAND ( - 14 AUG 1040) Daniel DUNHAM David DUNHAM Deborah DUNHAM John DUNHAM ... Mary DUNHAM (1642 - 19 APR 1715) Mercy DUNHAM (1716 - FEB 1801) Seth DUNHAM DUNLANG KING OF LIENSTER REBECCA DURKEE DYDDGU OF BUILTH ... EADGIFU (EDGINA) LADY ( - 25 AUG 0968) EADRON EADWIG King of England EAFA KING OF THE WEST SAXONS EAHLMUND KING OF KENT AND WEST SAXONS ... EBER (c BC 2281 - c BC 1817 ) EBERHARD COUNT EBERHARD DUKE OF ALSATIA EBERHARD MARGRAVE OF FRIULI ( - 11 MAY 1033) EBLES MANCER EBLUD EDBURGA John EDDY ... EDERSCEOL (EDERUS) 95TH MONARCH OF IRELAND ( - BC 0110 )

32. Main Directory Index Page WHV3'S Ultimate Online Community FREE*Freebies*FREE Free Animations, Banners, gifs , Flags, and Pictures. 2100st Century EMail. E-Mail Tim Vance. diocles Born Death About 300 BC. Burial http://members.tripod.com/~tgv7/index-2990.html

Main Directory Index Page WHV3'S Ultimate Online Community Something For Everyone The Holy Bible On-Line With A Search Engine For Words And Phrases FREE*Freebies*FREE Free Animations, Banners, "gifs", Flags, and Pictures 2100 st Century E-Mail E-Mail Tim Vance Diocles Born: Death: About 300 BC Burial: Marriage: Father: Helenus Mother: Spouse: Born: Death: Burial: Father: Mother: Children: Bassanus Information Source Ancestry.com

33. Diocles ILIUM / (Unknown) diocles ILIUM / (Unknown). Husband diocles ILIUM. Born Abt 360 BC, at Marriedat AM 3704 or,300 BC. Died 300 BC, at Father HELENUS. Mother Notes 599. http://www.genpc.com/gen/files/d0046/f0000020.html

Diocles ILIUM / (Unknown) Husband: Diocles ILIUM Born: Abt 360 B.C at: Married: at: A M 3704 or,300 B.C. Died: 300 B.C at: Father: HELENUS Mother: Notes: Wife: CHILDREN Name: Bassanus Mangus "Priest" ILIUM Born: Abt 340 BC at: Married: at: Died: 228/250 B.C. at: Spouses: (Orkney) of The ORCADES Pedigree Chart for: Diocles ILIUM Son PRIAM Camera TROY HELENUS ... INDEX !Royal Ancestors of Some LDS Families by Michel L. Call, chart 804. Ancestry and Progentry of Captain James Blount - Immigrant, by Robert F. Pfafman p E-24. Aided the Saxtons against the Goths(Gauls). FILE: Royal Line (Adamic Genealogy) March 1980, Albert F. Schmuhl; Peter Grard Gentala REIGNED: King of Sicambri ( - 300 B.C.) !Royal Ancestors of Some LDS Families by Michel L. Call, chart 804. Ancestry and Progentry of Captain James Blount - Immigrant, by Robert F. Pfafman p E-24. Married the daughter of the King of the Orcades, a Norwegian King. REIGNED: King of Sicambri (300 B.C. - 250 B.C.) FILE: Royal Line (Adamic Genealogy) March 1980, Albert F. Schmuhl; Peter Grard Gentala OCCUPATION: Priest.

34. Diocles diocles. A famous charioteer of the Imperial Tournament who, unlike many ofhis contemporaries, survived to retire with his longearned rich earnings. http://www.chroniclesofempire.net/library/resources/gatheringencyclopaedia/d/dio

Welcome to: GATHERING Encyclopaedia suggested links A B C ... society DIOCLES A famous charioteer of the Imperial Tournament who, unlike many of his contemporaries, survived to retire with his long-earned rich earnings.

35. I7094: Maud* FitzJohn (FITZGEOFFREY) (____ - 1301) diocles*. 300 BC. DEATH 300 BC. Family 1 Unknown +Basanus*.INDEX. HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 12/31 http://www.afn.org/~lawson/d0006/g0000065.html

Maud* FitzJohn (FITZGEOFFREY) DEATH Family 1 William* IV DE BEAUCHAMP Guy* DE BEAUCHAMP INDEX HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 03/10/2003 08:27:59 PM Eastern Standard Time Alice* BELLHOUSE BIRTH : 1306, Ramsden Bellhouse,Essex,England Father: Sir Knight John* BELLHOUSE Family 1 Sir Knight Nicholas* DE BARENTEN Nicholas* BARENTEN Alice* BELLHOUSE INDEX HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 03/10/2003 08:27:59 PM Eastern Standard Time Ralph* I DE TOENI BIRTH : 0955, Toeni,Eure,France Father: Hugo* DE CALVACAMP Family 1 Ralph* "Rodolf" II DE TOENI Robert de Tosny, Lord of BELVOIR Ralph* I DE TOENI INDEX HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 03/10/2003 08:27:59 PM Eastern Standard Time Robert* de Sudeley, Lord EWYAS Father: Robert* FitzHarold de Eways, BARON Mother: Sybil of GLOUSTERSHIRE Family 1 Petronella SCUDAMORE Sibil* DE EWYAS Robert* de Sudeley, Lord EWYAS INDEX HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000) on 03/10/2003 08:27:59 PM Eastern Standard Time Oakie HOWARD Father: Marion HOWARD Mother: Pheriba BANKS _Marion HOWARD Oakie HOWARD _Pheriba BANKS ... INDEX HTML created by GED2HTML v3.6-WIN95 (Jan 18 2000)

36. Cissoid This construction has been done by the Greek scholar diocles (about 160 BC) 1) .He used the cissoid to solve the Delian problem, dealing with the duplication http://www.2dcurves.com/cubic/cubicc.html

cissoid cubic last updated: The cissoid can be constructed as follows: Given a circle C with diameter OA and a tangent l through A. Now, draw lines m through O, cutting circle C in point Q, line l in point R. Then the cissoid is the set of points P for which OP = QR. This construction has been done by the Greek scholar Diocles (about 160 BC) . He used the cissoid to solve the Delian problem, dealing with the duplication of the cube. He did not use the name cissoid. The name of the curve, meaning 'ivy-shaped', is found for the first time in the writings of the Greek Geminus (about 50 BC). Because of Diocles' previous work on the curve his name has been added: cissoid of Diocles Roberval and Fermat constructed the tangent of the cissoid (1634): from a given point there are either one ore three tangents. In 1658 Huygens and Wallis showed that the area between the curve and his asymptote is p The cissoid of Diocles is a special case of the generalized cissoid , where line l and circle C have been substituted by arbitrary curves C1 and C2. The curve, having one cusp and one asymptote, has as Cartesian coordinates:

37. (generalized) Cissoid Page line tangent to the circle, on circle, opposite the tangent, cissoid (ofdiocles). The first cissoid to be discovered was the cissoid of diocles. http://www.2dcurves.com/derived/cissoid.html

(generalized) cissoid main last updated: Given curves C1 and C2 and a fixed point O. Draw lines l through O that intersect C1 in Q1, and C2 in Q2. Then the cissoid is defined as the collection of points P (on l) for which OP is equal to the distance between the intersections (Q1Q2). Some special cases of the cissoid: curve C1 curve C2 pole O cissoid line line parallel to C1 any point line circle center of the circle conchoid (of Nicomedes) circle concentric circle center circle line tangent to the circle on circle, opposite the tangent cissoid (of Diocles) line tangent to the circle on circle oblique cissoid radial line on circle (right) strophoid circle of equal size any point hippopede The first cissoid to be discovered was the cissoid of Diocles

38. (Ethel Mae Davenport - Calvin Luther David ) Index of Persons diocles Josef Disson 77792 individuals, 28100 familiesfrom file C\FTW\BOBSPU.GED (21 Aug 2002). Index of Persons. http://www.gendex.com/users/bobspu/spurgeon/index/ind0679.html

Index of Persons Ethel Mae Davenport (25 Jun 1951 - ) Gloria Jean Davenport (12 Dec 1948 - ) Howard Laverne Davenport Hugh Davenport John Davenport Leroy Davenport ... Linda Marie Davenport (21 Apr 1950 - ) Lois Davenport Margaret Davenport Mary Davenport Matilda Davenport ... Sue Ann Davenport (19 Feb 1962 - ) William Archie Davenport Kim Daves Annette Mary Davey Evonna Lou Davey ... Joseph Davey (21 Jul 1941 - ) Lorie L. Davey Patricia Lynn Davey Thomas Davey Calvin Luther David ... UP (Violet Dasse - Roger De Coigniers ) BACK (Violet Dasse - Elmer Bliane Davenport , Jr.) NEXT (Hazel May David - Clara Davidson ) SURNAMES HOME HTML created by GED2HTML v3.6-FreeBSD (May 16 2000) on Thu Feb 13 00:35:53 2003 GMT

39. (Violet Dasse - Elmer Bliane Davenport , Jr.) Index of Persons diocles Ann Draper 77792 individuals, 28100 familiesfrom file C\FTW\BOBSPU.GED (21 Aug 2002). Index of Persons. http://www.gendex.com/users/bobspu/spurgeon/index/ind0678.html

Index of Persons Violet Dasse (24 Jul 1929 - Nov 1994) George Daubek Eugene Dale Daugherty Bob Daughtry (7 Jul 1943 - ) Sara Elaine Daughtry (25 Nov 1966 - ) Susan Elizabeth Daughtry (22 Jul 1963 - ) Casper Daumann Elizabeth (Nana) Daumann (21 Oct 1876 - 1950) John Daumann Joseph Daumann Mary Daumann Mastron Daumann ... Anna Davee (ABT 1828 - ABT 1866) Cheryl Louise Davenport (26 Feb 1954 - ) Christopher McNary Davenport (ABT 1819 - 4 Nov 1839) Elmer Bliane Davenport Elmer Bliane Davenport , Jr. (16 Jan 1953 - ) UP (Violet Dasse - Roger De Coigniers ) BACK NEXT (Ethel Mae Davenport - Calvin Luther David ) SURNAMES HOME HTML created by GED2HTML v3.6-FreeBSD (May 16 2000) on Thu Feb 13 00:35:53 2003 GMT

40. Diocles diocles. Born about 240 BC in Carystus (now Karistos), Euboea (now Evvoia),Greece Died about 180 BC. diocles was a contemporary of Nicomedes. http://sfabel.tripod.com/mathematik/database/Diocles.html

Diocles Born: about 240 BC in Carystus (now Karistos), Euboea (now Evvoia), Greece Died: about 180 BC Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Diocles was a contemporary of Nicomedes . He studied the cissoid as part of an attempt to duplicate the cube. He also studied the problem of Archimedes to cut a sphere by a plane in such a way that the volumes of the segments shall have a given ratio. Diocles wrote On burning mirrors which proves the focal property of a parabolic mirror for the first time. Largely ignored by later Greeks it had a large influence on the Arab mathematicians, in particular on al'Haitam and Latin translations from about 1200 of al'Haitam brought the properties of parabolic mirrors discovered by Diocles to the West. References (5 books/articles) References elsewhere in this archive: Tell me about the Cissoid of Diocles Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996

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