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Eutocius of Ascalon

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1672: 1659: 428: 1532: 1132: 116:, possibly as early as 525. From his testimony, it seems he traveled to other cultural centers of his time to find missing manuscripts. 1726: 1610: 913: 449: 421: 395: 317:
of Apollonius was dedicated to Anthemius of Tralles (t534), an able mathematician and architect of St. Sophia of Constantinople."
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Historians owe much of their knowledge of Archimedes' solution of a cubic by means of intersecting conics, alluded to in
1587: 414: 347: 309:. It is to Eutocius that we owe the Archimedean solution of a cubic through intersecting conics, referred to in 1556: 1489: 1122: 1002: 1625: 1382: 1270: 445: 167: 305:
Boyer, p. 193. "Eutocius (born ca. 480), commented on several Archimedean treatises and on the Apollonian
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but not otherwise extant except through the commentary of Eutocius. The commentary by Eutocius on the
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520s) was a Greek mathematician who wrote commentaries on several
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Little is known about the life of Eutocius. He was born in
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City and School in Late Antique Athens and Alexandria
49: 37: 34: 335: 384: 1688: 206:, also a mathematician and the architect of the 342:(Second ed.). John Wiley & Sons, Inc. 436: 422: 112:, and he was succeeded in this position by 429: 415: 104:Eutocius probably became the head of the 396:MacTutor History of Mathematics Archive 1689: 1458:Latin translations of the 12th century 1188:Straightedge and compass construction 410: 358: 330: 1153:Incircle and excircles of a triangle 16:5th–6th century Greek mathematician 13: 363:. University of California Press. 144:Commentaries on Archimedes' work: 127:. The surviving commentaries are: 14: 1738: 378: 162:In Archimedis Dimensionem Circuli 1727:6th-century Byzantine scientists 1670: 1657: 267:Eutocii Ascalonitae commentarius 87: 24: 135:on the first four books of the 119:Eutocius wrote commentaries on 1490:A History of Greek Mathematics 1003:The Quadrature of the Parabola 299: 274: 258: 233: 224: 100:and lived during the reign of 1: 1722:6th-century Byzantine writers 217: 180:An introduction to Book I of 70: 66: 1707:Ancient Greek mathematicians 1271:Intersecting secants theorem 7: 1712:Ancient Greeks from Ascalon 1266:Intersecting chords theorem 1133:Doctrine of proportionality 10: 1743: 1717:6th-century mathematicians 962:On the Sphere and Cylinder 915:On the Sizes and Distances 324: 196:On the Sphere and Cylinder 149:On the Sphere and Cylinder 1664:Ancient Greece portal 1653: 1603: 1481: 1468:Philosophy of mathematics 1438: 1431: 1405: 1383:Ptolemy's table of chords 1327: 1309: 1208: 1201: 1057: 1019: 836: 444: 438:Ancient Greek mathematics 359:Watts, Edward J. (2006). 157:Measurement of the Circle 62: 1335:Aristarchus's inequality 908:On Conoids and Spheroids 401:University of St Andrews 338:A History of Mathematics 1443:Ancient Greek astronomy 1256:Inscribed angle theorem 1246:Greek geometric algebra 901:Measurement of a Circle 311:The Sphere and Cylinder 1677:Mathematics portal 1463:Non-Euclidean geometry 1418:Mouseion of Alexandria 1291:Tangent-secant theorem 1241:Geometric mean theorem 1226:Exterior angle theorem 1221:Angle bisector theorem 925:On Sizes and Distances 282:"Eutocius – Biography" 63:Εὐτόκιος ὁ Ἀσκαλωνίτης 1365:Pappus's area theorem 1301:Theorem of the gnomon 1178:Quadratrix of Hippias 1101:Circles of Apollonius 1049:Problem of Apollonius 1027:Constructible numbers 851:Archimedes Palimpsest 391:"Eutocius of Ascalon" 77:treatises and on the 1581:prehistoric counting 1378:Ptolemy's inequality 1319:Apollonius's theorem 1158:Method of exhaustion 1128:Diophantine equation 1118:Circumscribed circle 935:On the Moving Sphere 387:Robertson, Edmund F. 332:Boyer, Carl Benjamin 204:Anthemius of Tralles 1667: • 1473:Neusis construction 1393:Spiral of Theodorus 1286:Pythagorean theorem 1231:Euclidean algorithm 1173:Lune of Hippocrates 1042:Squaring the circle 798:Theon of Alexandria 473:Aristaeus the Elder 385:O'Connor, John J.; 20:Eutocius of Ascalon 1360:Menelaus's theorem 1350:Irrational numbers 1163:Parallel postulate 1138:Euclidean geometry 1106:Apollonian circles 648:Isidore of Miletus 169:On the Equilibrium 106:Alexandrian school 1684: 1683: 1649: 1648: 1401: 1400: 1388:Ptolemy's theorem 1261:Intercept theorem 1111:Apollonian gasket 1037:Doubling the cube 1010:The Sand Reckoner 370:978-0-520-25816-7 245:whistleralley.com 230:Watts, p. 233-234 1734: 1675: 1674: 1662: 1661: 1660: 1436: 1435: 1423:Platonic Academy 1370:Problem II.8 of 1340:Crossbar theorem 1296:Thales's theorem 1236:Euclid's theorem 1206: 1205: 1123:Commensurability 1084:Axiomatic system 1032:Angle trisection 997: 987: 949: 939: 929: 919: 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of sines 1211: 1143:Golden ratio 1008: 1001: 992: 986:(Theodosius) 982: 974: 967: 960: 953: 944: 934: 928:(Hipparchus) 924: 914: 906: 899: 890: 880: 872: 867:(Apollonius) 863: 855: 843: 818:Zeno of Elea 597: 578:Eratosthenes 568:Dionysodorus 394: 360: 337: 314: 310: 306: 301: 289:. Retrieved 285: 276: 270:. 1401–1500. 266: 260: 248:. Retrieved 244: 235: 226: 208:Hagia Sophia 199: 195: 193: 185: 171: 168: 161: 155: 147: 136: 118: 114:Olympiodorus 91: 81: 19: 18: 1564:mathematics 1372:Arithmetica 969:Ostomachion 938:(Autolycus) 857:Arithmetica 633:Hippocrates 563:Dinostratus 548:Dicaearchus 478:Aristarchus 250:25 February 75:Archimedean 1702:540 deaths 1697:480 births 1691:Categories 1616:Babylonian 1516:arithmetic 1482:History of 1311:Apollonius 996:(Menelaus) 955:On Spirals 874:Catoptrics 813:Xenocrates 808:Thymaridas 793:Theodosius 778:Theaetetus 758:Simplicius 748:Pythagoras 733:Posidonius 718:Philonides 678:Nicomachus 673:Metrodorus 663:Menaechmus 618:Hipparchus 608:Heliodorus 558:Diophantus 543:Democritus 523:Chrysippus 493:Archimedes 488:Apollonius 458:Anaxagoras 450:(timeline) 291:27 October 218:References 133:Commentary 125:Archimedes 121:Apollonius 108:following 102:Justinian. 96:, then in 79:Apollonian 1077:Inscribed 837:Treatises 828:Zenodorus 788:Theodorus 763:Sosigenes 708:Philolaus 693:Oenopides 688:Nicoteles 683:Nicomedes 643:Hypsicles 538:Ctesibius 528:Cleomedes 513:Callippus 498:Autolycus 483:Aristotle 463:Anthemius 172:of Planes 1641:Japanese 1626:Egyptian 1569:timeline 1557:timeline 1545:timeline 1540:geometry 1533:timeline 1528:calculus 1521:timeline 1509:timeline 1212:Elements 1058:Concepts 1020:Problems 993:Spherics 983:Spherics 948:(Euclid) 894:(Euclid) 891:Elements 884:(Euclid) 845:Almagest 753:Serenus 728:Porphyry 668:Menelaus 623:Hippasus 598:Eutocius 573:Domninus 468:Archytas 334:(1991). 241:"Conica" 187:Almagest 160:(Latin: 110:Ammonius 1621:Chinese 1576:numbers 1504:algebra 1432:Related 1406:Centers 1202:Results 1072:Central 743:Ptolemy 738:Proclus 703:Perseus 658:Marinus 638:Hypatia 628:Hippias 603:Geminus 593:Eudoxus 583:Eudemus 553:Diocles 325:Sources 182:Ptolemy 123:and on 94:Ascalon 69:480s – 1636:Indian 1413:Cyrene 945:Optics 864:Conics 783:Theano 773:Thales 768:Sporus 713:Philon 698:Pappus 588:Euclid 518:Carpus 508:Bryson 367:  346:  315:Conics 307:Conics 200:Conics 138:Conics 82:Conics 1631:Incan 1552:logic 1328:Other 1096:Chord 1089:Axiom 1067:Angle 723:Plato 613:Heron 533:Conon 175:I-II. 152:I-II. 59:Greek 1593:list 881:Data 653:Leon 503:Bion 365:ISBN 344:ISBN 293:2021 252:2021 1495:by 1209:In 210:in 202:to 184:'s 1693:: 399:, 393:, 389:, 284:. 243:. 214:. 164:). 131:A 84:. 71:c. 67:c. 65:; 61:: 57:; 41:oʊ 32:uː 430:e 423:t 416:v 373:. 352:. 295:. 254:. 190:. 53:/ 50:s 47:ə 44:ʃ 38:t 35:ˈ 29:j 26:/ 22:(

Index

/jˈtʃəs/
Greek
Archimedean
Apollonian
Ascalon
Palestina Prima
Justinian.
Alexandrian school
Ammonius
Olympiodorus
Apollonius
Archimedes
Commentary
Conics
On the Sphere and Cylinder
Measurement of the Circle
On the Equilibrium of Planes
Ptolemy
Almagest
Anthemius of Tralles
Hagia Sophia
Constantinople
"Conica"
Eutocii Ascalonitae commentarius
"Eutocius – Biography"
Boyer, Carl Benjamin
A History of Mathematics
ISBN
0-471-54397-7
ISBN

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