21. Diocles - Wikipedia, The Free Encyclopedia diocles Translate this page diocles. Médecin et chirurgien disciple d’Aristote. Cap Sounion.Projet Educatif Européen « SOCRATES COMENIUS » - Collège Jules http://en.wikipedia.org/wiki/Diocles

Diocles From Wikipedia, the free encyclopedia. In Greek mythology Diocles , or Díoklês was one of the first priests of Demeter and one of the first to learn the secrets of the Eleusinian mysteries See also Diocletian , formerly named Diocles This article is a stub . You can help Wikipedia by expanding it Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Special pages This page was last modified 03:28, 20 Feb 2004. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

22. 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

23. Diocles Of Carystus diocles of Carystus. The study of diocles ideas has long been hamperedby the absence of a reliable collection of the remaining evidence. http://www.brill.nl/product.asp?ID=870

24. Cissoid Of Diocles Cissoid of diocles. © Copyright 2003, Jim Loy. This is the cissoidof diocles. The distance from the red dot on the circle to http://www.jimloy.com/cindy/cissoid.htm

Return to my Cinderella pages Return to my Mathematics pages Go to my home page Cissoid of Diocles This is the cissoid of Diocles. The distance from the red dot on the circle to the dot on the top of the circle is the same as the distance from the green dot to the moving dot on the green horizontal line. Please enable Java for an interactive construction (with Cinderella). The above Java animation was created with Cinderella (a geometry program). Return to my Cinderella pages Return to my Mathematics pages Go to my home page

25. **Diocles - I2987 - Individual Information - PHPGedView 2.12 Total Execution time 0.057 sec. Family with Parents. Father, Family with spouse**Helenus I **diocles. **Helenus I Death 0338 BC. Mother, Family with Spouse. http://wiley.ed.usu.edu/familyhistory/individual.php?pid=I2987

26. **Diocles Family Information - PHPGedView 2.12 Husband Family with spouse **diocles **Basanus. **diocles Death 0299 BC. Familywith spouse **Helenus I **diocles. **Helenus I Death 0338 BC. Wife Children. http://wiley.ed.usu.edu/familyhistory/family.php?famid=F897

27. 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://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Dcls.htm

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 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Diocles.html

28. Cissoid Cissoid of diocles. Cartesian equation y = x /(2ax). The Cissoid of dioclesis the roulette of the vertex of a parabola rolling on an equal parabola. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Cssd.htm

Cissoid of Diocles Cartesian equation: y = x /(2a-x) Polar equation: r = 2a tan( )sin( Click below to see one of the Associated curves. Definitions of the Associated curves Evolute Involute 1 Involute 2 ... Caustic curve wrt another point If your browser can handle JAVA code, click HERE to experiment interactively with this curve and its associated curves. This curve (meaning 'ivy-shaped') was invented by Diocles in about 180 BC in connection with his attempt to duplicate the cube by geometrical methods. The name first appears in the work of Geminus about 100 years later. Fermat and Roberval constructed the tangent in 1634. Huygens and Wallis found, in 1658, that the area between the curve and its asymptote was 3 a . From a given point there are either one or three tangents to the cissoid. The Cissoid of Diocles is the roulette of the vertex of a parabola rolling on an equal parabola. Newton gave a method of drawing the Cissoid of Diocles using two line segments of equal length at right angles. If they are moved so that one line always passes through a fixed point and the end of the other line segment slides along a straight line then the mid-point of the sliding line segment traces out a Cissoid of Diocles Diocles was a contemporary of Nicomedes . He studied the cissoid in his attempt to solve the problem of finding the length of the side of a cube having volume twice that of a given 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.

29. Diocles - Encyclopedia Article About Diocles. Free Access, No Registration Neede diocles inNRICH PLUS maths.org Google. Definition level 3. A special http://encyclopedia.thefreedictionary.com/Diocles

Dictionaries: General Computing Medical Legal Encyclopedia Diocles Word: Word Starts with Ends with Definition In Greek mythology "For the last two thousand years it has been the fashion to dismiss the myths as bizarre or chimerical fancies, a charming legacy from the childhood of the Greek intelligence, which the Church naturally depreciated in order to emphasize the greater spiritual importance of the Bible." (Robert Graves, The Greek Myths , introduction) Greek mythology is the set of myths which Click the link for more information. Diocles , or Díoklês was one of the first priests of Demeter Dêmêtêr (or Demetra ) (DEH-MEH-ter) ("goddess mother" or "barley mother") is the Greek goddess of agriculture, the pure nourisher of youth and the green earth, the health-giving cycle of life and death, and preserver of marriage and the sacred law. She is invoked as the "bringer of seasons" in the Homeric hymn, a subtle sign that she was worshiped long before the Olympians arrived. She and her daughter Persephone were the central figures of the Eleusinian mysteries that also predated the Olympian pantheon. Click the link for more information.

30. SoCalEuro NorCalEuro - Profile diocles, Page Views 0. Real Name Location N/A US. Email n/a. Status Post Count0. Avatar diocles s Journal, No journal entries found. diocles s Guestbook. http://www.socaleuro.com/forum/profile.aspx?user_name=Diocles&user_id=3657

31. Www.matematicas.net - Geointeractiva ~ Cisoide De Diocles Translate this page Geointeractiva ~ Cabri . Cisoide de diocles. Se trata de la cisoidemás famosa. Es la curva cisoide de un punto O de una circunferencia http://www.matematicas.net/paraiso/cabri.php?id=cis_dioc

32. 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:

33. 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

34. Metriophasma Diocles - Le Monde Des Phasmes Translate this page Metriophasma diocles. Metriophasma diocles - (Westwood, 1859) - PSEUDOPHASMATINAE- Origine Panama - Nourriture Epipremnum aureum http://www.ifrance.com/phasme/html/zMetriophasma.htm

35. Metriophasma Diocles - Juergen Berger Rainer Wirth - Le Monde Metriophasma diocles. We studied topdown and bottom-up effects on firstinstar nymphs of the oligophagous stick insect, Metriophasma diocles. http://www.ifrance.com/phasme/html/dismetroidop.htm

36. Index Of First Names : Diocles web hosting, domain name, free web site, email address web hosting domain namesemail addresses. Index of first names diocles. diocles. LinkExchange. http://members.fortunecity.com/jocelynpayne/s586.html

web hosting domain names email addresses Index of first names : Diocles Diocles web hosting domain names web design ... online casino

37. Diocles diocles. Summary. diocles was born in Abt. 360B.C. He died in 300B.C. Parents. Mother,Father. Not known, Helenus. Children. Children. Bassanus Mangus. Events. http://members.fortunecity.com/jocelynpayne/p3910.html

web hosting domain names email addresses Diocles Summary Diocles was born in Abt. 360B.C. He died in 300B.C. Parents Mother Father Not known Helenus Children Children Bassanus Mangus Events Event Date Place Note Source Born Abt. 360B.C. Died 300B.C. Formal Title [King-Sicambri] Links to other pages This site has details of other people with the surname Diocles and an index to other surnames . Why not visit the home page for this site web hosting domain names web design ... online casino

38. Ancistroides Nigrita Diocles Ancistroides nigrita diocles (Moore,1866). ON * Nisoniades nigrita diocles Moore,1866OD Proc. THAILAND Kerana diocles evaira ; Godfrey,1916 145. http://yutaka.it-n.jp/hes/91560010.html

Ancistroides nigrita diocles (Moore,[1866]) ON : * Nisoniades nigrita diocles Moore,[1866] OD : Proc. zool. Soc. Lond. 1865(3):787. TL : Bengal, India. Distribution : Sikkim to Myanmar, N.Thailand, Laos, Vietnam, Hainan. Records taken from Literature [ THAILAND ] Kerana diocles evaira ; Godfrey,1916 : 145. Kerana nigrita ; Godfrey,1930 : 371. (Pak Jong / Chonburi: Sriracha / Me Wong, West) Ancistroides nigrita maura ; Reeves,19XXa : 128. (Khao Yai) Ancistroides nigrita diocles ; Pinratana,1985 : 63, pl.21, fig.125a. (Chiang Mai / Nakhon Nayok) [ LAOS ] Ancistroides nigrita maura Ancistroides nigrita maura [ VIETNAM ] Kerana diocles ; Lemee,1950 : 25. (Hagiang / Backan) Specimens Examined Notes This page was last updated on 04. Sep. 1999.

39. Detailed Record diocles on burning mirrors the Arabic translation of the lost Greek original •By diocles, (Mathematician) ; G J Toomer • Publisher Berlin ; New York http://worldcatlibraries.org/wcpa/ow/c5291c72a1bf548d.html

About WorldCat Help For Librarians Diocles on burning mirrors : the Arabic translation of the lost Greek original Diocles, (Mathematician) G J Toomer Find libraries with the item Enter a postal code, state, province or country WorldCat is provided by OCLC Online Computer Library Center, Inc. on behalf of its member libraries.

40. Cissoid Of Diocles Cissoid of diocles. A curve invented by diocles in about 180 BC in connectionwith his attempt to duplicate the cube by geometrical methods. http://icl.pku.edu.cn/yujs/MathWorld/math/c/c346.htm

Cissoid of Diocles A curve invented by Diocles in about 180 BC in connection with his attempt to duplicate the cube by geometrical methods. The name ``cissoid'' first appears in the work of Geminus about 100 years later. Fermat and Roberval constructed the tangent in 1634. Huygens and Wallis found, in 1658, that the Area between the curve and its asymptote was MacTutor Archive ). From a given point there are either one or three Tangents to the cissoid. Given an origin and a point on the curve, let be the point where the extension of the line intersects the line and be the intersection of the Circle of Radius and center with the extension of . Then the cissoid of Diocles is the curve which satisfies The cissoid of Diocles is the Roulette of the Vertex of a Parabola rolling on an equal Parabola Newton gave a method of drawing the cissoid of Diocles using two line segments of equal length at Right Angles . If they are moved so that one line always passes through a fixed point and the end of the other line segment slides along a straight line, then the Midpoint of the sliding line segment traces out a cissoid of Diocles.

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