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Dinostratus: more detail

320 Bc: 320 Bc Births, 320 Bc Deaths, Perdiccas, Timon of Phlius, Menaechmus, Timocharis, Gongsun Long, Dinostratus, Alcetas, Zoilus

Dinostratus: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001

390 Bc: 390 Bc Births, 390 Bc Deaths, Tollund Man, Andocides, Heraclides Ponticus, Mozi, Battle of the Allia, Dinostratus, Attalus, Amadocus I

lists with details

500-1000
350. Menaechmus (cones); dinostratus (quadrature with quadratrix, brother of Menaechmus);Xenocrates (history of geometry); Thymaridas (solution of systems of
http://euphrates.wpunj.edu/courses/math21180/chrono05.htm

Extractions: Possible date of the Sulvasutras (religious writings showing acquaintance with Pythagorean numbers and with geometric constructions); appearance of Chinese rod numerals Battle of Thermopylae. Beginning of Age of Pericles Parmenides (sphericity of the earth). Zeno paradoxes of motion Hippocrates of Chios (reduction of the duplication problem, Tunes, arrangement of the propositions of geometry in a scientific fashion); Anaxagoras (geometry). Antiphon (method of exhaustion). Plague at Athens Hippias of Elis trisection of angles with quadratrix); Theodorus of Cyrene (irrational numbers); Socrates Democritus (atomistic theory). Athens finally defeated by Sparta. Archytas (leader of Pythagorean school at Tarentum, applications of mathematics to mechanics). Death of Socrates Plato (mathematics in the training of the mind, Plato's Academy Theaetetus (incommensurables, regular solids).
Quadratrix Of Hippias -- From MathWorld
Quadratrix of Hippias, The quadratrix was discovered by Hippias of Elias in430 BC, and later studied by dinostratus in 350 BC (MacTutor Archive).
http://mathworld.wolfram.com/QuadratrixofHippias.html

Extractions: References Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 223, 1987. Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 195 and 198, 1972. Loomis, E. S. "The Quadratrix." §2.1 in The Pythagorean Proposition: Its Demonstrations Analyzed and Classified and Bibliography of Sources for Data of the Four Kinds of "Proofs," 2nd ed. Reston, VA: National Council of Teachers of Mathematics, pp. 19-20, 1968. Loy, J. "Trisection of an Angle."
Hippias2.html
square making'. dinostratus (circa 350 BC) was the first to use itfor this purpose, according to Pappus (circa 300 AD). . What
http://www.ms.uky.edu/~carl/ma330/hippias/hippias21.html

Extractions: Hippias and his quadratrix Hippias of Elis (430 BC) was a sophist who invented the quadratrix curve to trisect an angle. The problem of trisecting a given angle was one of the problems that generated a lot of mathematics during this period, and several mathematicians devised methods for solving this problem. Like many other sophists, Hippias was an itinerant teacher who made his living wowing the locals with his knowledge. Apparently, he did alright, but didn't leave much of a legacy except for the quadratrix. Definition of the curve The curve can be described in a few sentences. Let ABCD denote a square. Over a unit time period, allow the top segment of the square to fall at a uniform speed to the bottom of the square. During the same time, allow the left side of the square to rotate clockwise at a uniform speed to the bottom of the square. At each time, the two segments will intersect in a point P. The totality of all these points P is defined as the quadratrix. Drawing the quadratrix One can imagine how Hippias might have sketched the quadratrix in the sand, but one can hardly image how he would have made an accurate sketch of it.
130
(384 BC 322 BC) Aristotle, (475 - 524) Boethius, (1508-1555) Gemma Frisius.(390 BC - 320 BC) dinostratus, (476 - 550) Aryabhata, (1510-1558) Recorde.
http://www.sanalhoca.com/matematik/matematikci1.htm

Extractions: sanal hoca Ana Sayfa Kimya Matematik Fizik ... E-Posta ( 130 - 190 ) Theon of Smyrna (1013-1054) Hermann of R. (1364-1436) Qadi Zada ( 130 BC - 70 BC ) Geminus (1019-1066) Sripati (1390-1450) al'Kashi ( 150 BC - 70 BC ) Zeno of Sidon (1031-1095) Shen (1393-1449) Ulugh Beg ( 200 - 284 ) Diophantus (1048-1122) Khayyam (1401-1464) Cusa ( 240 - 300 ) Sporus (1070-1130) Abraham (1404-1472) Alberti ( 290 350 ) Pappus (1075-1160) Adelard (1412-1486) Qalasadi ( 300 360) Serenus (1092-1167) Ezra (1412-1492) Francesca ( 335 - 395 ) Theon (1114-1185) Bhaskara (1423-1461) Peurbach ( 370 - 415 ) Hypatia (1114-1187) Gherard (1424-1484) Borgi ( 60 AD - 120AD ) Nicomachus (1168-1253) Grosseteste (1436-1476) Regiomontanus ( 65 AD - 125AD ) Heron (1170-1250) Fibonacci (1445-1500) Chuquet ( 70 AD - 130AD ) Menelaus (1195-1256) Sacrobosco (1445-1517) Pacioli ( 78 AD - 139AD ) Heng (1200-1280) Albertus (1452-1519) Leonardo ( 85 AD - 165AD ) Ptolemy (1201-1274) Tusi (1462-1498) Widman (160 BC - 100 BC) Theodosius (1202-1261) Ch'in (1465-1526) Ferro (1680BC-1620BC) Ahmes (1219-1292) Bacon
The Quadratrix
The curve already appears in ancient Greek geometry. It's named afterHippias of Elis and was used by dinostratus and Nicomedes.
http://cage.rug.ac.be/~hs/quadratrix/quadratrix.html

Extractions: given (the radius of) a circle, construct (the side of) a square whose area equals the area of the circle. In the ancient Greek tradition the only tools that are available for these constructions are a ruler and a compass . During the 19th century the French mathematician Pierre Wantzel proved that under these circumstances the first two of those constructions are impossible and for the squaring of the circle it lasted until 1882 before a proof had been given by Ferdinand von Lindemann
Assignment 6
mathematics. Great mathematicians whose works were revived by Pappus includeEuclid, Archimedes, Apollonius, Nicomedes, and dinostratus.
http://www.cate.org/sms99/alg299/ahmwk99/asgmt19.htm

Extractions: Obvious is the most dangerous word in mathematics." (Eric Temple Bell ) PAPPUS (ca 300): An excellent mathematician who lived in Alexandria, Pappus attempted to rekindle interest in the mathematical works of the Greeks. This was not an easy task, since Christians had destroyed much of the ancient Greek documents, but Pappus managed to create his Mathematical Collection which cites or references over thirty different ancient mathematicians. Much of our knowledge of Greek mathematics has been derived from the works of Pappus. His work is often called the requiem of Greek mathematics. Great mathematicians whose works were revived by Pappus include Euclid Archimedes Apollonius Nicomedes , and Dinostratus
JMM HM DICIONÁRIO
Translate this page de Alexandria (c. 250) Diócles (c. -100) Diógenes Laércio, Diophantus, DemocritosDinostratos Diophantos Diocles, Democritos dinostratus Diophantus Diocles
http://phoenix.sce.fct.unl.pt/jmmatos/HISTMAT/HMHTM/HMDIC.HTM
Appariement De Unesco 3
Translate this page do know that Archimedes was the son of an astronomer, that Hypsicles' father wasa mathematician, that the geometers Menaechmus and dinostratus were brothers
http://www-rali.iro.umontreal.ca/TrialDir/corpus/Unesco3.fr-en.ref.html

Extractions: The very words " mathematics " and " mathematician ", or their equivalents in most European languages, are derived from the Greek word meaning " to know " or " to learn ", Before the classical era, however, when it took on the specialized meaning that it has today, the Greek word mathema meant " that which is taught ", in other words all branches of knowledge.
ALC III,2: The Science Of Magnitudes
science. Menaechmus, dinostratus, Athenaeus, Helicon, and especiallyEudoxs made very important mathematical discoveries. Their
http://www.op.org/domcentral/study/ashley/arts/arts302.htm

Extractions: BENEDICT M. ASHLEY, O.P.: THE ARTS OF LEARNING AND COMMUNICATION CHAPTER II The Science of Magnitudes THE BEGINNINGS THE GREEKS, SCIENTISTS AND ARTISTS In the last chapter we indicated that, while mathematical calculation was developed in a practical way by the people of Mesopotamia and Egypt, and carried still further by the Hindus and Chinese, it was the Greeks who made it a theoretical study. They transformed it into a true science, rigorously logical in structure, and a model for all other sciences. It was these same scientifically minded Greeks who first arrived at a perfect conception of the fine arts. The art of Mesopotamia was strong and grandiose, but without grace or subtlety. The art of Egypt was subtle and mysterious, but strangely static and without inner thought or feeling. Only in the art of Greece is there achieved a living balance of all the elements of beauty. Their art was classical (from Latin classicus ,meaning "first class"), and became a standard for all later art. Not, indeed, that art of later ages need confine itself to copying the style and subject-matter of Greek art, as some people have thought but that we can learn from Greek literature, sculpture, and architecture a true conception of the elements that go into a work of art and of the harmony with which they should be united. Today we are inclined to think of science and art as unrelated fields. The artist seems to be all imagination and emotion, living in a subjective world of free fancy. The scientist seems to be all facts and abstract theories, living in the objective world of experiment and measurement. Yet the Greeks excelled both in art and science. In order to learn something of this lesson from the Greeks in this chapter we are going to try to get clearer notions of two questions:
Mathematicians
Menaechmus (c. 350) *SB. Theudius of Magnesia (c. 350?). Thymaridas (c. 350).dinostratus (fl. c. 350) *SB. Speusippus (d. 339). Aristotle (384322) *SB *MT.
http://www.chill.org/csss/mathcsss/mathematicians.html

Extractions: List of Mathematicians printed from: http://aleph0.clarku.edu:80/~djoyce/mathhist/mathhist.html 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 Hippias of Elis (fl. c. 425) *SB *mt Theodorus of Cyrene (c. 425) Socrates (469-399) Philolaus of Croton (d. c. 390) *SB Democritus of Abdera (c. 460-370) *SB *mt 400 B.C.E. Hippasus of Metapontum (or of Sybaris or Croton) (c. 400?) Archytas of Tarentum (of Taras) (c. 428-c. 347) *SB *mt Plato (427-347) *SB *MT Theaetetus of Athens (c. 415-c. 369) *mt Leodamas of Thasos (fl. c. 380) *SB
CUBEBS
Thus Nicomedes invented the conchoid (qv); Diodes the cissoid (qv); dinostratus studiedthe quadratrix invented by Hippias; all these curves furnished solutions
http://83.1911encyclopedia.org/C/CU/CUBEBS.htm

Extractions: being the Historiafisica y polWca, and also the earlier work on which they are based, Historia económica-polltica y estadistica de - . Cuba (Havana, 1831); treatises on administrative law in Cuba by J. M. Morilla (Havana, 1847; 2nd ed., I865, 2 vols.) and Pt. Govin (~ vols., Havana, f882I883); A. S. Rowan and M. M. Ramsay, The Island of Cuba (New York, 1896); Coleccion de rca/es ordenes, decretos y disposiciones (Havana, serial, 1857f 898); Spanish Rule in Cuba. Laws Governing the Island. Reviews Published by the Coloisiai Office in Madrid - - - (New York, for the Spanish legation, 1896); and compilations of Spanish colonial laws listed under, article INDIEs, LAWS OF TIlE. On the new Republican régime: Gaceta Oficial (Havana, 1903 ); reports of departments of government; M. Romero Palafox, Agenda de la republita de Cuba (Havana, 1905). See also the Civil Reports of the United States military governors, J. R. Brooke (2 vols., 1899; Havana and Washington, 1900), L. Wood (33 vOls., 1900f902; Washington, 19011902). History.The works (see above) of Sagra, Humboldt and Arango are indispensable; also those of Francisco Calcagno, Diccionarw biogrdfico Cubano (ostensibly, New York, 1878); Vidal Morales y Morales, Iniciadores y primeros mdrtires de Ia revoiución Cabana (Havana, 1901); Jose Ahumada y Centurion, Memoria histórica politica de - - . Cuba (Havana, 1874); Jacobo de Ia Pezuela, Diccionario geogrdfico-estadistico-histôrico de - . - Cuba (4 tom., Madrid, 18631866); Historia de - - - Cuba, (4 tom., Madrid, 18681878; supplanting his Ensayo histórico de - . . Cuba, Madrid and New York, 1842); and José Antonio Saco, Obras (2 vols., New York, 1853), Papeles (3 tom., Paris, 18581859), and Coleccion ~ostuma de Papeles (Havana, 1881). Also: Rodriguez Ferrer, op. cit. above, vol. 2 (Madrid, 1888); P. G. Guitéras, Historia de
Index Of Ancient Greek Scientists
Menaechmus (350 BC). Brother of dinostratus. Wrote about conic sections, showingthat they can be used to duplicate the cube. Meton of Athens (440? BC).
http://www.ics.forth.gr/~vsiris/ancient_greeks/whole_list.html

Extractions: not complete Agatharchos. Greek mathematician. Discovered the laws of perspectives. Anaxagoras of Clazomenae (480-430 B.C.). Greek philosopher. Believed that a large number of seeds make up the properties of materials, that heavenly bodies are made up of the same materials as Earth and that the sun is a large, hot, glowing rock. Discovered that the moon reflected light and formulated the correct theory for the eclipses. Erroneously believed that the Earth was flat. Links: Anaxagoras of Clazomenae, MIT Anaximander (610-545 B.C.). Greek astronomer and philosopher, pupil of Thales. Introduced the apeiron (infinity). Formulated a theory of origin and evolution of life, according to which life originated in the sea from the moist element which evaporated from the sun ( On Nature ). Was the first to model the Earth according to scientific principles. According to him, the Earth was a cylinder with a north-south curvature, suspended freely in space, and the stars where attached to a sphere that rotated around Earth.
Kalendarium Matematyczne
Rozwiazal zadanie podwojenia szescianu. 360 pne Grek dinostratus za pomocakwadratrysy (krzywej Hippiasza) rozwiazal zadanie kwadratury kola.
http://gamma.im.uj.edu.pl/complex2001/imuj2002/files/ciekawostki/kalend/mat/khm2

Extractions: od 500 r. p.n.e. do 400 r. n.e. 420 p.n.e. Grek Hippiasz z Elidy odkry³ kwadratrysê - now¹ krzyw¹ oprócz znanych ju¿ wczeniej okrêgu i linii prostej. 420 p.n.e. Grecy odkrywaj¹ odcinki niewspó³mierne (liczby niewymierne). 414 p.n.e. Urodzi³ siê grecki matematyk Teataesz (zmar³ w 369 p.n.e.). Bada³ wielociany foremne i stwierdzi³, ¿e istnieje piêæ i tylko piêæ wielocianów foremnych. 408 p.n.e. Urodzi³ siê grecki filozof Eudoksos z Knidos (zmar³ w 355 p.n.e.). Opracowa³ model ruchu cia³ niebieskich ze skomplikowan¹ kombinacj¹ obracaj¹cych siê sfer. Stworzy³ teoriê proporcji, zajmowa³ siê (ok. 360 p.n.e.) z³otym podzia³em. Poda³ sposoby obliczania objêtoci pewnych bry³ metod¹ wyczerpywania. 400 p.n.e. Grecy sformu³owali trzy s³ynne zadania, które przez wieki bêd¹ stanowi³y zagadkê dla matematyków: kwadratura ko³a, podwojenie szecianu i trysekcja kata. Dopiero w XIX wieku udowodniono, ¿e ¿adne z tych zadañ nie jest wykonalne za pomoc¹ cyrkla i linijki (bez podzia³ki). 360 p.n.e. Grecki matematyk Menechemus odkry³ krzywe sto¿kowe, nazwane póniej elips¹, parabol¹, hiperbol¹. Rozwi¹za³ zadanie podwojenia szecianu.
Virtual Encyclopedia Of Mathematics
rené dickson leonard eugene dickstein samuel dieudonné jean alexandre eugènedigges thomas dinghas alexander dini ulisse dinostratus diocles dionis du
http://www.lacim.uqam.ca/~plouffe/Simon/supermath.html
ROV01_6.html
plot(ln(1sqrt(1-y^2)/y+sqrt(1-y^2)), y=0.1..1, scaling=constrained); `. 5. dinostratus'quadratrix . plot(x*cot(Pi*x)/2, x=-1/2..1/2, scaling=constrained);.
http://math.haifa.ac.il/ROVENSKI/rovenski/rov01_6.html

Extractions: ROV01_6.MWS Part 1. Functions and Graphs with MAPLE Rovenski Vladimir, Haifa Chapter . Graphs of Tabular and Continuous Functions restart: 1.1 Basic Two-Dimensional Plot with(plots): # for example, command display from the library plots Warning, existing definition for changecoords has been overwritten Temp.: 15 17 17.5 19 20 19.5 18 17 17 19 DateTemp:= [[12,15],[13,17],[14,17.5],[15,19],[16,20],[17,19.5],[18,18],[19,17],[20,17],[21,19]]; Plot the polygon through these points Line:=plot(DateTemp, labels=[T, D]): %; Plot the points separately Points:=plot(DateTemp, style=point, symbol=circle): %; Form arrays with x- and y-coordinates of the given points Days:=[seq(i+11, i=1..10)]; Temp:=[seq(op(2, DateTemp[i]), i=1..nops(Days))]; Transform the temperature from Celsius to Fahrenheit by the formula F=F(C) . (fix the number of to 3) Digits:=3: Plot the polygon LINE1 by the different method plot([seq([Days[i], Temp[i]], i=1..10)]);
OPE-MAT - Historique
Translate this page John Darwin, George Dinghas, Alexander Eckert, Wallace J Dase, Zacharias Dini, UlisseEddington, Arthur Davenport, Harold dinostratus Edgeworth, Francis Davidov
http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

Extractions: Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl
Jooned
juures. Aastal 350 uuris seda dinostratus ringi kvadratuuri probleemijuures. Kapajoont tuntakse ka kui Gutshoveni kõverat. Esimesena
http://www.art.tartu.ee/~illi/kunstigeomeetria/koverad/jooned7.htm
Quadratrix - ThesaurusDictionary.com :: All About Quadratrix
1. a curve made use of in the quadrature of other curves; as the quadratrix,of dinostratus, or of tschirnhausen. Back to ThesaurusDictionary.com
http://www.thesaurus-dictionary.com/files/q/u/a/quadratrix.html

Extractions: Search for a new word: a b c d ... z Previous Word: quadratojugal quadrature endorhiza 1. a curve made use of in the quadrature of other curves; as the quadratrix, of dinostratus, or of tschirnhausen. none available Games Free Everything Quadratrix Of Hippias Quadratrix of Hippias is the first named curve other than circle and line. It
ARTFL Project Webster Dictionary, 1913
NL. (Geom.) A curve made use of in the quadrature of other curves;as the quadratrix , of dinostratus, or of Tschirnhausen . Quadrature.
http://machaut.uchicago.edu/cgi-bin/WEBSTER.page.sh?PAGE=1171
Neue Seite 1
Translate this page Dinghas, Alexander (1908 - 1974). Dini, Ulisse (14.11.1845 - 28.10.1918).dinostratus (um 390 - um 320 v. Chr.). Diokles (um 240 - um 180 v. Chr.).
http://www.mathe-ecke.de/mathematiker.htm

Extractions: Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843) Aepinus, Franz Ulrich Theodosius (13.12.1724 - 10.8.1802) Agnesi, Maria (1718 - 1799) Ahlfors, Lars (1907 - 1996) Ahmed ibn Yusuf (835 - 912) Ahmes (um 1680 - um 1620 v. Chr.) Aida Yasuaki (1747 - 1817) Aiken, Howard Hathaway (1900 - 1973) Airy, George Biddell (27.7.1801 - 2.1.1892) Aithoff, David (1854 - 1934) Aitken, Alexander (1895 - 1967) Ajima, Chokuyen (1732 - 1798) Akhiezer, Naum Il'ich (1901 - 1980) al'Battani, Abu Allah (um 850 - 929) al'Biruni, Abu Arrayhan (973 - 1048) al'Chaijami (? - 1123) al'Haitam, Abu Ali (965 - 1039) al'Kashi, Ghiyath (1390 - 1450) al'Khwarizmi, Abu Abd-Allah ibn Musa (um 790 - um 850) Albanese, Giacomo (1890 - 1948) Albert von Sachsen (1316 - 8.7.1390)

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