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Aristaeus the Elder

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25: 1501: 1488: 152:, proved that the same circle circumscribes both the pentagon of the dodecahedron and the triangle of the icosahedron inscribed in the same sphere; whether this Aristaeus is the same as the Aristaeus of the Solid Loci, the elder contemporary of Euclid, we do not know." 257: 54: 1361: 1439: 742: 278: 250: 224: 1535: 1286: 1525: 1016: 1530: 981: 1349: 961: 752: 1416: 243: 188: 197: 76: 1385: 1318: 951: 831: 169: 1454: 1211: 1099: 274: 37: 1094: 1163: 47: 41: 33: 790: 606: 581: 1325: 1296: 656: 511: 58: 1459: 736: 229: 1193: 1421: 1397: 1271: 1206: 1147: 1084: 1074: 810: 729: 591: 501: 381: 1444: 1392: 1291: 1119: 1069: 1054: 1049: 820: 621: 556: 546: 496: 1492: 1344: 1129: 1006: 929: 877: 679: 586: 436: 1500: 1188: 1469: 1409: 1373: 1216: 1039: 986: 956: 946: 855: 718: 611: 526: 481: 461: 306: 291: 126: 1449: 1368: 1356: 1337: 1301: 1221: 1139: 1124: 1114: 1064: 1059: 1001: 870: 762: 691: 626: 616: 516: 486: 426: 401: 326: 316: 219: 215: 1505: 1464: 1404: 1332: 1198: 991: 966: 934: 531: 476: 441: 336: 1173: 772: 1178: 1089: 939: 865: 838: 601: 421: 411: 346: 266: 193: 129:
refers to him as Aristaeus the Elder. Pappus gave Aristaeus great credit for a work entitled
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which was used by Pappus but has been lost. He may have also authored the book
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Only little is known of his life. The mathematician
1432: 1310: 1260: 1234: 1156: 1138: 1037: 1030: 886: 848: 665: 273: 135:Concerning the Comparison of Five Regular Solids 46:but its sources remain unclear because it lacks 251: 8: 1264: 1034: 258: 244: 236: 170:"The thirteen books of Euclid's Elements" 77:Learn how and when to remove this message 225:MacTutor History of Mathematics Archive 160: 1287:Latin translations of the 12th century 1017:Straightedge and compass construction 7: 982:Incircle and excircles of a triangle 189:Dictionary of Scientific Biography 14: 186:Vogel, Kurt (1970). "Aristaeus". 1499: 1486: 131:Five Books concerning Solid Loci 23: 1319:A History of Greek Mathematics 832:The Quadrature of the Parabola 150:Comparison of the five figures 1: 1536:4th-century BC mathematicians 1526:Ancient Greek mathematicians 1100:Intersecting secants theorem 168:Thomas Little Heath (1908). 1531:4th-century BC Greek people 1095:Intersecting chords theorem 962:Doctrine of proportionality 113:. He was a contemporary of 1552: 791:On the Sphere and Cylinder 744:On the Sizes and Distances 98: 1493:Ancient Greece portal 1482: 1297:Philosophy of mathematics 1267: 1212:Ptolemy's table of chords 267:Ancient Greek mathematics 1164:Aristarchus's inequality 737:On Conoids and Spheroids 230:University of St Andrews 32:This article includes a 1272:Ancient Greek astronomy 1085:Inscribed angle theorem 1075:Greek geometric algebra 730:Measurement of a Circle 99:Ἀρισταῖος ὁ Πρεσβύτερος 61:more precise citations. 1506:Mathematics portal 1292:Non-Euclidean geometry 1247:Mouseion of Alexandria 1120:Tangent-secant theorem 1070:Geometric mean theorem 1055:Exterior angle theorem 1050:Angle bisector theorem 754:On Sizes and Distances 102:; 370 – 300 BC) was a 1194:Pappus's area theorem 1130:Theorem of the gnomon 1007:Quadratrix of Hippias 930:Circles of Apollonius 878:Problem of Apollonius 856:Constructible numbers 680:Archimedes Palimpsest 220:"Aristaeus the Elder" 1410:prehistoric counting 1207:Ptolemy's inequality 1148:Apollonius's theorem 987:Method of exhaustion 957:Diophantine equation 947:Circumscribed circle 764:On the Moving Sphere 216:Robertson, Edmund F. 127:Pappus of Alexandria 1496: • 1302:Neusis construction 1222:Spiral of Theodorus 1115:Pythagorean theorem 1060:Euclidean algorithm 1002:Lune of Hippocrates 871:Squaring the circle 627:Theon of Alexandria 302:Aristaeus the Elder 214:O'Connor, John J.; 144:Heath 1921 notes, " 90:Aristaeus the Elder 16:Greek mathematician 1189:Menelaus's theorem 1179:Irrational numbers 992:Parallel postulate 967:Euclidean geometry 935:Apollonian circles 477:Isidore of Miletus 34:list of references 1513: 1512: 1478: 1477: 1230: 1229: 1217:Ptolemy's theorem 1090:Intercept theorem 940:Apollonian gasket 866:Doubling the cube 839:The Sand Reckoner 87: 86: 79: 1543: 1504: 1503: 1491: 1490: 1489: 1265: 1252:Platonic Academy 1199:Problem II.8 of 1169:Crossbar theorem 1125:Thales's theorem 1065:Euclid's theorem 1035: 952:Commensurability 913:Axiomatic system 861:Angle trisection 826: 816: 778: 768: 758: 748: 724: 714: 697: 260: 253: 246: 237: 232: 203: 174: 173: 165: 101: 100: 82: 75: 71: 68: 62: 57:this article by 48:inline citations 27: 26: 19: 1551: 1550: 1546: 1545: 1544: 1542: 1541: 1540: 1516: 1515: 1514: 1509: 1498: 1487: 1485: 1474: 1440:Arabian/Islamic 1428: 1417:numeral systems 1306: 1256: 1226: 1174:Heron's formula 1152: 1134: 1026: 1022:Triangle center 1012:Regular polygon 889:and definitions 888: 882: 844: 824: 814: 776: 766: 756: 746: 722: 712: 695: 661: 632:Theon of Smyrna 277: 269: 264: 213: 210: 200: 185: 182: 180:Further reading 177: 167: 166: 162: 158: 123: 83: 72: 66: 63: 52: 38:related reading 28: 24: 17: 12: 11: 5: 1549: 1547: 1539: 1538: 1533: 1528: 1518: 1517: 1511: 1510: 1483: 1480: 1479: 1476: 1475: 1473: 1472: 1467: 1462: 1457: 1452: 1447: 1442: 1436: 1434: 1433:Other cultures 1430: 1429: 1427: 1426: 1425: 1424: 1414: 1413: 1412: 1402: 1401: 1400: 1390: 1389: 1388: 1378: 1377: 1376: 1366: 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Index

list of references
related reading
external links
inline citations
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introducing
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Greek
Greek
mathematician
conic sections
Euclid
Pappus of Alexandria
Hypsicles
Hypsicles
"The thirteen books of Euclid's Elements"
Dictionary of Scientific Biography
ISBN
0-684-10114-9
Robertson, Edmund F.
"Aristaeus the Elder"
MacTutor History of Mathematics Archive
University of St Andrews
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Ancient Greek mathematics
Mathematicians
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Anaxagoras

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