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Eutocius of Ascalon

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1683: 1670: 439: 1543: 1143: 127:, possibly as early as 525. From his testimony, it seems he traveled to other cultural centers of his time to find missing manuscripts. 1737: 1621: 924: 460: 432: 406: 328:
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
1598: 425: 358: 320:. It is to Eutocius that we owe the Archimedean solution of a cubic through intersecting conics, referred to in 1567: 1500: 1133: 1013: 1636: 1393: 1281: 456: 178: 316:
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
60: 48: 45: 346: 395: 1699: 217:, also a mathematician and the architect of the 353:(Second ed.). John Wiley & Sons, Inc. 447: 433: 123:, and he was succeeded in this position by 440: 426: 115:Eutocius probably became the head of the 407:MacTutor History of Mathematics Archive 14: 1700: 1469:Latin translations of the 12th century 1199:Straightedge and compass construction 421: 369: 341: 1164:Incircle and excircles of a triangle 27:5th–6th century Greek mathematician 24: 374:. University of California Press. 155:Commentaries on Archimedes' work: 138:. The surviving commentaries are: 25: 1749: 389: 173:In Archimedis Dimensionem Circuli 1738:6th-century Byzantine scientists 1681: 1668: 278:Eutocii Ascalonitae commentarius 98: 35: 146:on the first four books of the 130:Eutocius wrote commentaries on 1501:A History of Greek Mathematics 1014:The Quadrature of the Parabola 310: 285: 269: 244: 235: 111:and lived during the reign of 13: 1: 1733:6th-century Byzantine writers 228: 191:An introduction to Book I of 81: 77: 1718:Ancient Greek mathematicians 1282:Intersecting secants theorem 7: 1723:Ancient Greeks from Ascalon 1277:Intersecting chords theorem 1144:Doctrine of proportionality 10: 1754: 1728:6th-century mathematicians 973:On the Sphere and Cylinder 926:On the Sizes and Distances 335: 207:On the Sphere and Cylinder 160:On the Sphere and Cylinder 1675:Ancient Greece portal 1664: 1614: 1492: 1479:Philosophy of mathematics 1449: 1442: 1416: 1394:Ptolemy's table of chords 1338: 1320: 1219: 1212: 1068: 1030: 847: 455: 449:Ancient Greek mathematics 370:Watts, Edward J. (2006). 168:Measurement of the Circle 73: 1346:Aristarchus's inequality 919:On Conoids and Spheroids 412:University of St Andrews 349:A History of Mathematics 1454:Ancient Greek astronomy 1267:Inscribed angle theorem 1257:Greek geometric algebra 912:Measurement of a Circle 322:The Sphere and Cylinder 1688:Mathematics portal 1474:Non-Euclidean geometry 1429:Mouseion of Alexandria 1302:Tangent-secant theorem 1252:Geometric mean theorem 1237:Exterior angle theorem 1232:Angle bisector theorem 936:On Sizes and Distances 293:"Eutocius – Biography" 74:Εὐτόκιος ὁ Ἀσκαλωνίτης 1376:Pappus's area theorem 1312:Theorem of the gnomon 1189:Quadratrix of Hippias 1112:Circles of Apollonius 1060:Problem of Apollonius 1038:Constructible numbers 862:Archimedes Palimpsest 402:"Eutocius of Ascalon" 88:treatises and on the 1592:prehistoric counting 1389:Ptolemy's inequality 1330:Apollonius's theorem 1169:Method of exhaustion 1139:Diophantine equation 1129:Circumscribed circle 946:On the Moving Sphere 398:Robertson, Edmund F. 343:Boyer, Carl Benjamin 215:Anthemius of Tralles 1678: • 1484:Neusis construction 1404:Spiral of Theodorus 1297:Pythagorean theorem 1242:Euclidean algorithm 1184:Lune of Hippocrates 1053:Squaring the circle 809:Theon of Alexandria 484:Aristaeus the Elder 396:O'Connor, John J.; 31:Eutocius of Ascalon 1371:Menelaus's theorem 1361:Irrational numbers 1174:Parallel postulate 1149:Euclidean geometry 1117:Apollonian circles 659:Isidore of Miletus 180:On the Equilibrium 117:Alexandrian school 1695: 1694: 1660: 1659: 1412: 1411: 1399:Ptolemy's theorem 1272:Intercept theorem 1122:Apollonian gasket 1048:Doubling the cube 1021:The Sand Reckoner 381:978-0-520-25816-7 256:whistleralley.com 241:Watts, p. 233-234 16:(Redirected from 1745: 1686: 1685: 1673: 1672: 1671: 1447: 1446: 1434:Platonic Academy 1381:Problem II.8 of 1351:Crossbar theorem 1307:Thales's theorem 1247:Euclid's theorem 1217: 1216: 1134:Commensurability 1095:Axiomatic system 1043:Angle trisection 1008: 998: 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65: 32: 19: 1679: 1666: 1508:Thomas Heath 1499: 1382: 1366:Law of sines 1222: 1154:Golden ratio 1019: 1012: 1003: 997:(Theodosius) 993: 985: 978: 971: 964: 955: 945: 939:(Hipparchus) 935: 925: 917: 910: 901: 891: 883: 878:(Apollonius) 874: 866: 854: 829:Zeno of Elea 608: 589:Eratosthenes 579:Dionysodorus 405: 371: 348: 325: 321: 317: 312: 300:. Retrieved 296: 287: 281:. 1401–1500. 277: 271: 259:. Retrieved 255: 246: 237: 219:Hagia Sophia 210: 206: 204: 196: 182: 179: 172: 166: 158: 147: 129: 125:Olympiodorus 102: 92: 30: 29: 1575:mathematics 1383:Arithmetica 980:Ostomachion 949:(Autolycus) 868:Arithmetica 644:Hippocrates 574:Dinostratus 559:Dicaearchus 489:Aristarchus 261:25 February 86:Archimedean 1713:540 deaths 1708:480 births 1702:Categories 1627:Babylonian 1527:arithmetic 1493:History of 1322:Apollonius 1007:(Menelaus) 966:On Spirals 885:Catoptrics 824:Xenocrates 819:Thymaridas 804:Theodosius 789:Theaetetus 769:Simplicius 759:Pythagoras 744:Posidonius 729:Philonides 689:Nicomachus 684:Metrodorus 674:Menaechmus 629:Hipparchus 619:Heliodorus 569:Diophantus 554:Democritus 534:Chrysippus 504:Archimedes 499:Apollonius 469:Anaxagoras 461:(timeline) 302:27 October 229:References 144:Commentary 136:Archimedes 132:Apollonius 119:following 113:Justinian. 107:, then in 90:Apollonian 1088:Inscribed 848:Treatises 839:Zenodorus 799:Theodorus 774:Sosigenes 719:Philolaus 704:Oenopides 699:Nicoteles 694:Nicomedes 654:Hypsicles 549:Ctesibius 539:Cleomedes 524:Callippus 509:Autolycus 494:Aristotle 474:Anthemius 183:of Planes 1652:Japanese 1637:Egyptian 1580:timeline 1568:timeline 1556:timeline 1551:geometry 1544:timeline 1539:calculus 1532:timeline 1520:timeline 1223:Elements 1069:Concepts 1031:Problems 1004:Spherics 994:Spherics 959:(Euclid) 905:(Euclid) 902:Elements 895:(Euclid) 856:Almagest 764:Serenus 739:Porphyry 679:Menelaus 634:Hippasus 609:Eutocius 584:Domninus 479:Archytas 345:(1991). 252:"Conica" 198:Almagest 171:(Latin: 121:Ammonius 18:Eutocius 1632:Chinese 1587:numbers 1515:algebra 1443:Related 1417:Centers 1213:Results 1083:Central 754:Ptolemy 749:Proclus 714:Perseus 669:Marinus 649:Hypatia 639:Hippias 614:Geminus 604:Eudoxus 594:Eudemus 564:Diocles 336:Sources 193:Ptolemy 134:and on 105:Ascalon 80:480s – 1647:Indian 1424:Cyrene 956:Optics 875:Conics 794:Theano 784:Thales 779:Sporus 724:Philon 709:Pappus 599:Euclid 529:Carpus 519:Bryson 378:  357:  326:Conics 318:Conics 211:Conics 149:Conics 93:Conics 1642:Incan 1563:logic 1339:Other 1107:Chord 1100:Axiom 1078:Angle 734:Plato 624:Heron 544:Conon 186:I-II. 163:I-II. 70:Greek 1604:list 892:Data 664:Leon 514:Bion 376:ISBN 355:ISBN 304:2021 263:2021 1506:by 1220:In 221:in 213:to 195:'s 1704:: 410:, 404:, 400:, 295:. 254:. 225:. 175:). 142:A 95:. 82:c. 78:c. 76:; 72:: 68:; 52:oʊ 43:uː 441:e 434:t 427:v 384:. 363:. 306:. 265:. 201:. 64:/ 61:s 58:ə 55:ʃ 49:t 46:ˈ 40:j 37:/ 33:( 20:)

Index

Eutocius
/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

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