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Euclid's Phaenomena

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1624: 17: 344: 1611: 37:. The book is divided into 18 propositions, each dealing with "the important arcs on the celestial sphere". The book was fully translated into English in 1996, authors used two surviving copies for translation. 380: 1484: 140: 1648: 1562: 865: 401: 373: 1409: 1139: 1104: 112:"Euclid's Phaenomena: A Translation and Study of a Hellenistic Treatise in Spherical Astronomy . Euclid, J. L. Berggren, R. S. D. Thomas". 1472: 1084: 875: 1539: 366: 141:"Euclid's Phaenomena: A Translation and Study of a Hellenistic Treatise in Spherical Astronomy | Mathematical Association of America" 262: 81: 303: 200: 1508: 1441: 1074: 954: 1577: 1334: 1222: 397: 51: 1217: 1286: 913: 729: 704: 1448: 1419: 779: 634: 298: 1653: 1582: 859: 1316: 1544: 1520: 1394: 1329: 1270: 1207: 1197: 933: 852: 714: 624: 504: 1567: 1515: 1414: 1242: 1192: 1177: 1172: 943: 744: 679: 669: 619: 329: 1615: 1467: 1252: 1129: 1052: 1000: 802: 709: 559: 1623: 1311: 1592: 1532: 1496: 1339: 1162: 1109: 1079: 1069: 978: 841: 734: 649: 604: 584: 429: 414: 231: 193: 1572: 1491: 1479: 1460: 1424: 1344: 1262: 1247: 1237: 1187: 1182: 1124: 993: 885: 814: 749: 739: 639: 609: 549: 524: 449: 439: 424: 277: 272: 34: 1628: 1587: 1527: 1455: 1321: 1114: 1089: 1057: 654: 599: 564: 459: 282: 267: 1296: 895: 238: 1301: 1212: 1062: 988: 961: 724: 544: 534: 469: 389: 77: 70:
Euclid's phaenomena: a translation and study of a hellenistic treatise in spherical astronomy
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(2006). 104: 1410:Latin translations of the 12th century 1140:Straightedge and compass construction 7: 1105:Incircle and excircles of a triangle 14: 175:, New York-Heidelberg-Berlin 1975 1649:Ancient Greek mathematical works 1622: 1609: 343: 342: 1442:A History of Greek Mathematics 955:The Quadrature of the Parabola 120:(3): 528–529. September 1997. 1: 1223:Intersecting secants theorem 1218:Intersecting chords theorem 1085:Doctrine of proportionality 1670: 914:On the Sphere and Cylinder 867:On the Sizes and Distances 1616:Ancient Greece portal 1605: 1420:Philosophy of mathematics 1390: 1335:Ptolemy's table of chords 390:Ancient Greek mathematics 338: 55:, published in Romæ, 1591 1287:Aristarchus's inequality 860:On Conoids and Spheroids 1395:Ancient Greek astronomy 1208:Inscribed angle theorem 1198:Greek geometric algebra 853:Measurement of a Circle 1629:Mathematics portal 1415:Non-Euclidean geometry 1370:Mouseion of Alexandria 1243:Tangent-secant theorem 1193:Geometric mean theorem 1178:Exterior angle theorem 1173:Angle bisector theorem 877:On Sizes and Distances 330:Papyrus Oxyrhynchus 29 21: 1317:Pappus's area theorem 1253:Theorem of the gnomon 1130:Quadratrix of Hippias 1053:Circles of Apollonius 1001:Problem of Apollonius 979:Constructible numbers 803:Archimedes Palimpsest 19: 1533:prehistoric counting 1330:Ptolemy's inequality 1271:Apollonius's theorem 1110:Method of exhaustion 1080:Diophantine equation 1070:Circumscribed circle 887:On the Moving Sphere 304:Johan Ludvig Heiberg 139:GouvĂŞa, Fernando Q. 1619: • 1425:Neusis construction 1345:Spiral of Theodorus 1238:Pythagorean theorem 1183:Euclidean algorithm 1125:Lune of Hippocrates 994:Squaring the circle 750:Theon of Alexandria 425:Aristaeus the Elder 273:Euclidean algorithm 53:Euclidis Phaenomena 35:spherical astronomy 1312:Menelaus's theorem 1302:Irrational numbers 1115:Parallel postulate 1090:Euclidean geometry 1058:Apollonian circles 600:Isidore of Miletus 283:Euclidean relation 268:Euclidean geometry 22: 1636: 1635: 1601: 1600: 1353: 1352: 1340:Ptolemy's theorem 1213:Intercept theorem 1063:Apollonian gasket 989:Doubling the cube 962:The Sand Reckoner 356: 355: 1661: 1627: 1626: 1614: 1613: 1612: 1388: 1375:Platonic Academy 1322:Problem II.8 of 1292:Crossbar theorem 1248:Thales's theorem 1188:Euclid's theorem 1158: 1075:Commensurability 1036:Axiomatic system 984:Angle trisection 949: 939: 901: 891: 881: 871: 847: 837: 820: 383: 376: 369: 360: 346: 345: 278:Euclid's theorem 203: 196: 189: 180: 156: 155: 153: 151: 136: 130: 129: 109: 94: 92: 90: 75: 1669: 1668: 1664: 1663: 1662: 1660: 1659: 1658: 1654:Works by Euclid 1639: 1638: 1637: 1632: 1621: 1610: 1608: 1597: 1563:Arabian/Islamic 1551: 1540:numeral systems 1429: 1379: 1349: 1297:Heron's formula 1275: 1257: 1149: 1145:Triangle center 1135:Regular polygon 1012:and definitions 1011: 1005: 967: 947: 937: 899: 889: 879: 869: 845: 835: 818: 784: 755:Theon of Smyrna 400: 392: 387: 357: 352: 334: 318: 314:Isaac Todhunter 287: 251: 212: 207: 169:Otto Neugebauer 165: 163:Further reading 160: 159: 149: 147: 138: 137: 133: 111: 110: 106: 101: 88: 86: 84: 73: 66: 43: 12: 11: 5: 1667: 1665: 1657: 1656: 1651: 1641: 1640: 1634: 1633: 1606: 1603: 1602: 1599: 1598: 1596: 1595: 1590: 1585: 1580: 1575: 1570: 1565: 1559: 1557: 1556:Other cultures 1553: 1552: 1550: 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Index


Euclid
spherical astronomy
Euclidis Phaenomena, published in Romæ, 1591
Euclid's phaenomena: a translation and study of a hellenistic treatise in spherical astronomy
ISBN
0-8218-4072-X
doi
10.1086/383789
"Euclid's Phaenomena: A Translation and Study of a Hellenistic Treatise in Spherical Astronomy | Mathematical Association of America"
Otto Neugebauer
v
t
e
Euclid
Data
Elements
Optics
Phaenomena
Namesakes
Euclidean geometry
Euclidean algorithm
Euclid's theorem
Euclidean relation
Thomas Heath
Johan Ludvig Heiberg
Robert Simson
Isaac Todhunter
Papyrus Oxyrhynchus 29
Category

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