2152:
756:
104:
872:
2139:
27:
84:
244:
forming a square. One form of play to which classical texts attest is the creation of different objects, animals, plants etc. by rearranging the pieces: an elephant, a tree, a barking dog, a ship, a sword, a tower etc. Another suggestion is that it exercised and developed memory skills in the young.
96:
433:
272:, and confirmed by a computer search by William H. Cutler. However, this count has been disputed because surviving images of the puzzle show it in a rectangle, not a square, and rotations or reflections of pieces may not have been allowed.
430:
370:
217:
and was played perhaps by several persons with pieces made of bone. It is not known which is older, Archimedes' geometrical investigation of the figure, or the game.
249:(1884), footnotes that the purpose was to put the pieces back in their box, and this was also a view expressed by W. W. Rouse Ball in some intermediate editions of
367:
908:
593:
2012:
558:
J. Väterlein, Roma ludens (Heuremata - Studien zu
Literatur, Sprachen und Kultur der Antike, Bd. 5), Amsterdam: Verlag B. R. Grüner bv 1976
457:
308:
1612:
2176:
2090:
324:
1393:
929:
901:
340:
1937:
1667:
816:
1632:
649:
2000:
1403:
583:
2067:
894:
498:
736:
598:
297:
256:
The number of different ways to arrange the parts of the
Stomachions within a square were determined to be 17,152 by
70:
52:
2036:
1969:
1602:
1482:
775:
37:
2196:
425:
362:
2191:
2105:
1862:
1750:
925:
687:
87:
Ostomachion (after Suter; this version requires a lateral stretch by a factor of two to match that in the
1814:
1745:
408:
391:
1441:
1257:
701:
694:
1232:
1976:
1947:
1307:
1162:
366:, auctores antiquissimi, vol. 5, part 2: D. Magni Ausonii opuscola, Berolini apud Weidmannos, 1883,
2110:
1844:
1387:
780:
715:
642:
2186:
2072:
2048:
1922:
1857:
1798:
1735:
1725:
1461:
1380:
1242:
1152:
1032:
806:
673:
621:
218:
48:
1342:
472:
2095:
2043:
1942:
1770:
1720:
1705:
1700:
1471:
1272:
1207:
1197:
1147:
112:
2143:
1995:
1839:
1780:
1657:
1580:
1528:
1330:
1237:
1087:
811:
785:
429:, auctores antiquissimi, vol. 7, Magni Felicis Ennodi opera, Berolini apud Weidmannos, 1885,
225:
149:
88:
2120:
2060:
2024:
1867:
1690:
1637:
1607:
1597:
1506:
1369:
1262:
1177:
1132:
1112:
957:
942:
578:
8:
2100:
2019:
2007:
1988:
1952:
1872:
1790:
1775:
1765:
1715:
1710:
1652:
1521:
1413:
1277:
1267:
1167:
1137:
1077:
1052:
977:
967:
952:
875:
857:
847:
635:
2156:
2115:
2055:
1983:
1849:
1824:
1642:
1617:
1585:
1423:
1182:
1127:
1092:
987:
852:
790:
722:
528:
2151:
1829:
1740:
1590:
1516:
1489:
1252:
1072:
1062:
997:
917:
842:
821:
770:
680:
588:
293:
241:
44:
2181:
2031:
1902:
1819:
1575:
1563:
1511:
1247:
158:
624:
Play with 38 Tangram games online: more than 7,300 shapes proposed by the program.
1672:
1662:
1556:
1282:
755:
548:
J. L. Heiberg, Archimedis opera omnia, vol. 2, pp. 420 ff., Leipzig: Teubner 1881
437:
374:
265:
144:
1932:
1927:
1755:
1647:
1627:
1455:
1012:
982:
743:
261:
222:
175:
130:
2170:
1892:
1760:
1730:
1551:
1359:
1302:
615:
269:
154:
886:
107:
Ostomachion figures mentioned by
Ausonius and others (Bibliotheca Augustana)
1834:
1622:
1297:
1057:
1047:
573:
568:
1336:
1042:
1027:
453:
532:
1434:
1353:
1292:
1287:
1227:
1212:
1157:
1142:
1097:
1037:
1022:
1002:
972:
937:
708:
658:
290:
The universal book of mathematics: from
Abracadabra to Zeno's paradoxes
140:
99:
Ostomachion (after Suter): square reformed with some pieces turned over
1187:
1172:
1122:
1017:
1007:
992:
962:
611:
607:
257:
229:
192: 'fight, battle, combat'. The manuscripts refer to the word as "
103:
55:. Statements consisting only of original research should be removed.
1324:
1102:
947:
197:
1897:
1222:
1217:
1117:
1107:
1082:
214:
1192:
1067:
837:
83:
1568:
1546:
1202:
627:
169:
95:
599:
Kolata, Gina. "In
Archimedes' Puzzle, a New Eureka Moment."
517:
Ludic Proof: Greek
Mathematics and the Alexandrian Aesthetic
390:, Lipsiae in aedibus R. G. Teubneri, 1857, vol. 6, part 1,
458:"Towards a reconstruction of Archimedes' Stomachion"
196:", an apparent corruption of the original Greek.
2168:
452:
916:
902:
643:
143:. This work has survived fragmentarily in an
16:Treatise on geometry attributed to Archimedes
584:The Ostomachion at the Bibliotheca Augustana
499:"In Archimedes' Puzzle, a New Eureka Moment"
213:which he describes was a puzzle similar to
201:
139:, is a mathematical treatise attributed to
123:
909:
895:
650:
636:
206:, "which the Greeks called ostomachion").
200:gives us the correct name "Ostomachion" (
71:Learn how and when to remove this message
515:Huxley, G. L. (Winter 2009), "Review of
102:
94:
82:
456:; Acerbi, Fabio; Wilson, Nigel (2004).
311:, Henry George Liddell, Robert Scott,
2169:
1938:Latin translations of the 12th century
514:
496:
343:, Henry George Liddell, Robert Scott,
327:, Henry George Liddell, Robert Scott,
1668:Straightedge and compass construction
890:
817:List of things named after Archimedes
631:
579:W. W. R. Ball, Recreations and Essays
1633:Incircle and excircles of a triangle
20:
282:
251:Mathematical Essays and Recreations
13:
589:Ostomachion, a Graeco-Roman puzzle
542:
497:Kolata, Gina (December 14, 2003),
247:Short History of Greek Mathematics
14:
2208:
737:The Method of Mechanical Theorems
562:
555:(Weidenfeld & Nicolson, 2007)
2177:Ancient Greek mathematical works
2150:
2137:
871:
870:
754:
608:A tour of Archimedes' Stomachion
551:Reviel Netz & William Noel,
203:quod Graeci ostomachion vocavere
25:
508:
490:
292:. John Wiley and Sons, p. 188.
1970:A History of Greek Mathematics
1483:The Quadrature of the Parabola
657:
622:Ostomachion and others tangram
442:
414:
397:
380:
350:
334:
318:
302:
232:have also discussed the game.
1:
426:Monumenta Germaniae Historica
363:Monumenta Germaniae Historica
275:
1751:Intersecting secants theorem
688:On the Equilibrium of Planes
347:, on Perseus Digital Library
331:, on Perseus Digital Library
315:, on Perseus Digital Library
253:, but edited out from 1939.
133: 'Archimedes' box') or
7:
1746:Intersecting chords theorem
1613:Doctrine of proportionality
776:Archimedes's cattle problem
51:the claims made and adding
10:
2213:
1442:On the Sphere and Cylinder
1395:On the Sizes and Distances
764:Discoveries and inventions
702:On the Sphere and Cylinder
695:Quadrature of the Parabola
386:Ars grammatica, III, 1 in
170:
2144:Ancient Greece portal
2133:
2083:
1961:
1948:Philosophy of mathematics
1918:
1911:
1885:
1863:Ptolemy's table of chords
1807:
1789:
1688:
1681:
1537:
1499:
1316:
924:
918:Ancient Greek mathematics
866:
830:
799:
763:
752:
665:
185: 'bone' and
1815:Aristarchus's inequality
1388:On Conoids and Spheroids
716:On Conoids and Spheroids
574:James Gow, Short History
147:version and a copy, the
1923:Ancient Greek astronomy
1736:Inscribed angle theorem
1726:Greek geometric algebra
1381:Measurement of a Circle
674:Measurement of a Circle
569:Heinrich Suter, Loculus
471:: 67–99. Archived from
451:, II, 776-787 cited in
345:A Greek-English Lexicon
329:A Greek-English Lexicon
313:A Greek-English Lexicon
288:Darling, David (2004).
240:The game is a 14-piece
235:
2157:Mathematics portal
1943:Non-Euclidean geometry
1898:Mouseion of Alexandria
1771:Tangent-secant theorem
1721:Geometric mean theorem
1706:Exterior angle theorem
1701:Angle bisector theorem
1405:On Sizes and Distances
594:Professor Chris Rorres
202:
124:
113:ancient Greek geometry
108:
100:
92:
1845:Pappus's area theorem
1781:Theorem of the gnomon
1658:Quadratrix of Hippias
1581:Circles of Apollonius
1529:Problem of Apollonius
1507:Constructible numbers
1331:Archimedes Palimpsest
812:Archimedes Palimpsest
781:Archimedes' principle
421:Carmen CCCXL (2, 133)
150:Archimedes Palimpsest
106:
98:
89:Archimedes Palimpsest
86:
2197:Geometric dissection
2061:prehistoric counting
1858:Ptolemy's inequality
1799:Apollonius's theorem
1638:Method of exhaustion
1608:Diophantine equation
1598:Circumscribed circle
1415:On the Moving Sphere
807:Archimedes' heat ray
553:The Archimedes Codex
2192:Works by Archimedes
2147: •
1953:Neusis construction
1873:Spiral of Theodorus
1766:Pythagorean theorem
1711:Euclidean algorithm
1653:Lune of Hippocrates
1522:Squaring the circle
1278:Theon of Alexandria
953:Aristaeus the Elder
858:Eutocius of Ascalon
848:Apollonius of Perga
603:. December 14, 2003
125:loculus Archimedius
1840:Menelaus's theorem
1830:Irrational numbers
1643:Parallel postulate
1618:Euclidean geometry
1586:Apollonian circles
1128:Isidore of Miletus
853:Hero of Alexandria
791:Claw of Archimedes
786:Archimedes's screw
723:On Floating Bodies
601:The New York Times
503:The New York Times
436:2016-03-06 at the
373:2015-09-23 at the
245:James Gow, in his
153:, of the original
109:
101:
93:
36:possibly contains
2164:
2163:
2129:
2128:
1881:
1880:
1868:Ptolemy's theorem
1741:Intercept theorem
1591:Apollonian gasket
1517:Doubling the cube
1490:The Sand Reckoner
884:
883:
843:Eudoxus of Cnidus
822:Pseudo-Archimedes
771:Archimedean solid
681:The Sand Reckoner
478:on 4 October 2013
405:Grammatici latini
388:Grammatici latini
242:dissection puzzle
174:) comes from
81:
80:
73:
38:original research
2204:
2155:
2154:
2142:
2141:
2140:
1916:
1915:
1903:Platonic Academy
1850:Problem II.8 of
1820:Crossbar theorem
1776:Thales's theorem
1716:Euclid's theorem
1686:
1685:
1603:Commensurability
1564:Axiomatic system
1512:Angle trisection
1477:
1467:
1429:
1419:
1409:
1399:
1375:
1365:
1348:
911:
904:
897:
888:
887:
874:
873:
758:
652:
645:
638:
629:
628:
536:
535:
512:
506:
505:
494:
488:
487:
485:
483:
477:
462:
446:
440:
418:
412:
403:De metris, 9 in
401:
395:
384:
378:
354:
348:
338:
332:
322:
316:
306:
300:
286:
205:
173:
172:
127:
121:, also known as
76:
69:
65:
62:
56:
53:inline citations
29:
28:
21:
2212:
2211:
2207:
2206:
2205:
2203:
2202:
2201:
2167:
2166:
2165:
2160:
2149:
2138:
2136:
2125:
2091:Arabian/Islamic
2079:
2068:numeral systems
1957:
1907:
1877:
1825:Heron's formula
1803:
1785:
1677:
1673:Triangle center
1663:Regular polygon
1540:and definitions
1539:
1533:
1495:
1475:
1465:
1427:
1417:
1407:
1397:
1373:
1363:
1346:
1312:
1283:Theon of Smyrna
928:
920:
915:
885:
880:
862:
826:
795:
759:
750:
661:
656:
565:
545:
543:Further reading
540:
539:
513:
509:
495:
491:
481:
479:
475:
460:
449:De rerum natura
447:
443:
438:Wayback Machine
419:
415:
402:
398:
385:
381:
375:Wayback Machine
358:Cento nuptialis
355:
351:
339:
335:
323:
319:
307:
303:
287:
283:
278:
266:Susan P. Holmes
238:
77:
66:
60:
57:
42:
30:
26:
17:
12:
11:
5:
2210:
2200:
2199:
2194:
2189:
2187:Tiling puzzles
2184:
2179:
2162:
2161:
2134:
2131:
2130:
2127:
2126:
2124:
2123:
2118:
2113:
2108:
2103:
2098:
2093:
2087:
2085:
2084:Other cultures
2081:
2080:
2078:
2077:
2076:
2075:
2065:
2064:
2063:
2053:
2052:
2051:
2041:
2040:
2039:
2029:
2028:
2027:
2017:
2016:
2015:
2005:
2004:
2003:
1993:
1992:
1991:
1981:
1980:
1979:
1965:
1963:
1959:
1958:
1956:
1955:
1950:
1945:
1940:
1935:
1933:Greek numerals
1930:
1928:Attic numerals
1925:
1919:
1913:
1909:
1908:
1906:
1905:
1900:
1895:
1889:
1887:
1883:
1882:
1879:
1878:
1876:
1875:
1870:
1865:
1860:
1855:
1847:
1842:
1837:
1832:
1827:
1822:
1817:
1811:
1809:
1805:
1804:
1802:
1801:
1795:
1793:
1787:
1786:
1784:
1783:
1778:
1773:
1768:
1763:
1758:
1756:Law of cosines
1753:
1748:
1743:
1738:
1733:
1728:
1723:
1718:
1713:
1708:
1703:
1697:
1695:
1683:
1679:
1678:
1676:
1675:
1670:
1665:
1660:
1655:
1650:
1648:Platonic solid
1645:
1640:
1635:
1630:
1628:Greek numerals
1625:
1620:
1615:
1610:
1605:
1600:
1595:
1594:
1593:
1588:
1578:
1573:
1572:
1571:
1561:
1560:
1559:
1554:
1543:
1541:
1535:
1534:
1532:
1531:
1526:
1525:
1524:
1519:
1514:
1503:
1501:
1497:
1496:
1494:
1493:
1486:
1479:
1469:
1459:
1456:Planisphaerium
1452:
1445:
1438:
1431:
1421:
1411:
1401:
1391:
1384:
1377:
1367:
1357:
1350:
1340:
1333:
1328:
1320:
1318:
1314:
1313:
1311:
1310:
1305:
1300:
1295:
1290:
1285:
1280:
1275:
1270:
1265:
1260:
1255:
1250:
1245:
1240:
1235:
1230:
1225:
1220:
1215:
1210:
1205:
1200:
1195:
1190:
1185:
1180:
1175:
1170:
1165:
1160:
1155:
1150:
1145:
1140:
1135:
1130:
1125:
1120:
1115:
1110:
1105:
1100:
1095:
1090:
1085:
1080:
1075:
1070:
1065:
1060:
1055:
1050:
1045:
1040:
1035:
1030:
1025:
1020:
1015:
1010:
1005:
1000:
995:
990:
985:
980:
975:
970:
965:
960:
955:
950:
945:
940:
934:
932:
926:Mathematicians
922:
921:
914:
913:
906:
899:
891:
882:
881:
879:
878:
867:
864:
863:
861:
860:
855:
850:
845:
840:
834:
832:
831:Related people
828:
827:
825:
824:
819:
814:
809:
803:
801:
797:
796:
794:
793:
788:
783:
778:
773:
767:
765:
761:
760:
753:
751:
749:
748:
744:Book of Lemmas
740:
733:
726:
719:
712:
705:
698:
691:
684:
677:
669:
667:
663:
662:
655:
654:
647:
640:
632:
626:
625:
619:
605:
596:
591:
586:
581:
576:
571:
564:
563:External links
561:
560:
559:
556:
549:
544:
541:
538:
537:
507:
489:
441:
413:
396:
379:
349:
333:
317:
301:
280:
279:
277:
274:
262:Persi Diaconis
237:
234:
79:
78:
33:
31:
24:
15:
9:
6:
4:
3:
2:
2209:
2198:
2195:
2193:
2190:
2188:
2185:
2183:
2180:
2178:
2175:
2174:
2172:
2159:
2158:
2153:
2146:
2145:
2132:
2122:
2119:
2117:
2114:
2112:
2109:
2107:
2104:
2102:
2099:
2097:
2094:
2092:
2089:
2088:
2086:
2082:
2074:
2071:
2070:
2069:
2066:
2062:
2059:
2058:
2057:
2054:
2050:
2047:
2046:
2045:
2042:
2038:
2035:
2034:
2033:
2030:
2026:
2023:
2022:
2021:
2018:
2014:
2011:
2010:
2009:
2006:
2002:
1999:
1998:
1997:
1994:
1990:
1987:
1986:
1985:
1982:
1978:
1974:
1973:
1972:
1971:
1967:
1966:
1964:
1960:
1954:
1951:
1949:
1946:
1944:
1941:
1939:
1936:
1934:
1931:
1929:
1926:
1924:
1921:
1920:
1917:
1914:
1910:
1904:
1901:
1899:
1896:
1894:
1891:
1890:
1888:
1884:
1874:
1871:
1869:
1866:
1864:
1861:
1859:
1856:
1854:
1853:
1848:
1846:
1843:
1841:
1838:
1836:
1833:
1831:
1828:
1826:
1823:
1821:
1818:
1816:
1813:
1812:
1810:
1806:
1800:
1797:
1796:
1794:
1792:
1788:
1782:
1779:
1777:
1774:
1772:
1769:
1767:
1764:
1762:
1761:Pons asinorum
1759:
1757:
1754:
1752:
1749:
1747:
1744:
1742:
1739:
1737:
1734:
1732:
1731:Hinge theorem
1729:
1727:
1724:
1722:
1719:
1717:
1714:
1712:
1709:
1707:
1704:
1702:
1699:
1698:
1696:
1694:
1693:
1687:
1684:
1680:
1674:
1671:
1669:
1666:
1664:
1661:
1659:
1656:
1654:
1651:
1649:
1646:
1644:
1641:
1639:
1636:
1634:
1631:
1629:
1626:
1624:
1621:
1619:
1616:
1614:
1611:
1609:
1606:
1604:
1601:
1599:
1596:
1592:
1589:
1587:
1584:
1583:
1582:
1579:
1577:
1574:
1570:
1567:
1566:
1565:
1562:
1558:
1555:
1553:
1550:
1549:
1548:
1545:
1544:
1542:
1536:
1530:
1527:
1523:
1520:
1518:
1515:
1513:
1510:
1509:
1508:
1505:
1504:
1502:
1498:
1492:
1491:
1487:
1485:
1484:
1480:
1478:
1474:
1470:
1468:
1464:
1460:
1458:
1457:
1453:
1451:
1450:
1446:
1444:
1443:
1439:
1437:
1436:
1432:
1430:
1426:
1422:
1420:
1416:
1412:
1410:
1406:
1402:
1400:
1398:(Aristarchus)
1396:
1392:
1390:
1389:
1385:
1383:
1382:
1378:
1376:
1372:
1368:
1366:
1362:
1358:
1356:
1355:
1351:
1349:
1345:
1341:
1339:
1338:
1334:
1332:
1329:
1327:
1326:
1322:
1321:
1319:
1315:
1309:
1306:
1304:
1303:Zeno of Sidon
1301:
1299:
1296:
1294:
1291:
1289:
1286:
1284:
1281:
1279:
1276:
1274:
1271:
1269:
1266:
1264:
1261:
1259:
1256:
1254:
1251:
1249:
1246:
1244:
1241:
1239:
1236:
1234:
1231:
1229:
1226:
1224:
1221:
1219:
1216:
1214:
1211:
1209:
1206:
1204:
1201:
1199:
1196:
1194:
1191:
1189:
1186:
1184:
1181:
1179:
1176:
1174:
1171:
1169:
1166:
1164:
1161:
1159:
1156:
1154:
1151:
1149:
1146:
1144:
1141:
1139:
1136:
1134:
1131:
1129:
1126:
1124:
1121:
1119:
1116:
1114:
1111:
1109:
1106:
1104:
1101:
1099:
1096:
1094:
1091:
1089:
1086:
1084:
1081:
1079:
1076:
1074:
1071:
1069:
1066:
1064:
1061:
1059:
1056:
1054:
1051:
1049:
1046:
1044:
1041:
1039:
1036:
1034:
1031:
1029:
1026:
1024:
1021:
1019:
1016:
1014:
1011:
1009:
1006:
1004:
1001:
999:
996:
994:
991:
989:
986:
984:
981:
979:
976:
974:
971:
969:
966:
964:
961:
959:
956:
954:
951:
949:
946:
944:
941:
939:
936:
935:
933:
931:
927:
923:
919:
912:
907:
905:
900:
898:
893:
892:
889:
877:
869:
868:
865:
859:
856:
854:
851:
849:
846:
844:
841:
839:
836:
835:
833:
829:
823:
820:
818:
815:
813:
810:
808:
805:
804:
802:
800:Miscellaneous
798:
792:
789:
787:
784:
782:
779:
777:
774:
772:
769:
768:
766:
762:
757:
746:
745:
741:
739:
738:
734:
732:
731:
727:
725:
724:
720:
718:
717:
713:
711:
710:
706:
704:
703:
699:
697:
696:
692:
690:
689:
685:
683:
682:
678:
676:
675:
671:
670:
668:
666:Written works
664:
660:
653:
648:
646:
641:
639:
634:
633:
630:
623:
620:
617:
616:Ronald Graham
613:
609:
606:
604:
602:
597:
595:
592:
590:
587:
585:
582:
580:
577:
575:
572:
570:
567:
566:
557:
554:
550:
547:
546:
534:
530:
526:
522:
518:
511:
504:
500:
493:
474:
470:
466:
459:
455:
450:
445:
439:
435:
432:
428:
427:
422:
417:
410:
406:
400:
393:
389:
383:
376:
372:
369:
365:
364:
359:
353:
346:
342:
337:
330:
326:
321:
314:
310:
305:
299:
298:0-471-27047-4
295:
291:
285:
281:
273:
271:
270:Ronald Graham
267:
263:
259:
254:
252:
248:
243:
233:
231:
227:
224:
220:
216:
212:
207:
204:
199:
195:
191:
187:
184:
180:
177:
167:
162:
160:
157:text made in
156:
155:ancient Greek
152:
151:
146:
142:
138:
137:
132:
128:
126:
120:
119:
114:
105:
97:
90:
85:
75:
72:
64:
54:
50:
46:
40:
39:
34:This section
32:
23:
22:
19:
2148:
2135:
1977:Thomas Heath
1968:
1851:
1835:Law of sines
1691:
1623:Golden ratio
1488:
1481:
1472:
1466:(Theodosius)
1462:
1454:
1448:
1447:
1440:
1433:
1424:
1414:
1408:(Hipparchus)
1404:
1394:
1386:
1379:
1370:
1360:
1352:
1347:(Apollonius)
1343:
1335:
1323:
1298:Zeno of Elea
1058:Eratosthenes
1048:Dionysodorus
747:(apocryphal)
742:
735:
729:
728:
721:
714:
707:
700:
693:
686:
679:
672:
600:
552:
524:
520:
516:
510:
502:
492:
480:. Retrieved
473:the original
468:
464:
454:Netz, Reviel
448:
444:
424:
420:
416:
409:pagg. 271-72
404:
399:
392:pagg. 100-01
387:
382:
368:pagg. 140-41
361:
357:
352:
344:
336:
328:
320:
312:
304:
289:
284:
255:
250:
246:
239:
210:
208:
193:
189:
186:
182:
179:
165:
163:
148:
136:syntomachion
135:
134:
122:
117:
116:
110:
67:
61:October 2013
58:
35:
18:
2044:mathematics
1852:Arithmetica
1449:Ostomachion
1418:(Autolycus)
1337:Arithmetica
1113:Hippocrates
1043:Dinostratus
1028:Dicaearchus
958:Aristarchus
730:Ostomachion
527:: 116–121,
211:Ostomachion
166:Ostomachion
118:Ostomachion
2171:Categories
2096:Babylonian
1996:arithmetic
1962:History of
1791:Apollonius
1476:(Menelaus)
1435:On Spirals
1354:Catoptrics
1293:Xenocrates
1288:Thymaridas
1273:Theodosius
1258:Theaetetus
1238:Simplicius
1228:Pythagoras
1213:Posidonius
1198:Philonides
1158:Nicomachus
1153:Metrodorus
1143:Menaechmus
1098:Hipparchus
1088:Heliodorus
1038:Diophantus
1023:Democritus
1003:Chrysippus
973:Archimedes
968:Apollonius
938:Anaxagoras
930:(timeline)
709:On Spirals
659:Archimedes
521:Hermathena
309:ὀστομάχιον
276:References
219:Victorinus
194:Stomachion
171:Ὀστομάχιον
141:Archimedes
129:(from
45:improve it
1557:Inscribed
1317:Treatises
1308:Zenodorus
1268:Theodorus
1243:Sosigenes
1188:Philolaus
1173:Oenopides
1168:Nicoteles
1163:Nicomedes
1123:Hypsicles
1018:Ctesibius
1008:Cleomedes
993:Callippus
978:Autolycus
963:Aristotle
943:Anthemius
612:Fan Chung
482:3 October
258:Fan Chung
230:Lucretius
164:The word
159:Byzantine
49:verifying
2121:Japanese
2106:Egyptian
2049:timeline
2037:timeline
2025:timeline
2020:geometry
2013:timeline
2008:calculus
2001:timeline
1989:timeline
1692:Elements
1538:Concepts
1500:Problems
1473:Spherics
1463:Spherics
1428:(Euclid)
1374:(Euclid)
1371:Elements
1364:(Euclid)
1325:Almagest
1233:Serenus
1208:Porphyry
1148:Menelaus
1103:Hippasus
1078:Eutocius
1053:Domninus
948:Archytas
876:Category
533:23317530
434:Archived
431:pag. 249
371:Archived
356:Ausonii
226:Ennodius
215:tangrams
198:Ausonius
183:(osteon)
2182:Puzzles
2101:Chinese
2056:numbers
1984:algebra
1912:Related
1886:Centers
1682:Results
1552:Central
1223:Ptolemy
1218:Proclus
1183:Perseus
1138:Marinus
1118:Hypatia
1108:Hippias
1083:Geminus
1073:Eudoxus
1063:Eudemus
1033:Diocles
465:Sciamvs
190:(mache)
161:times.
43:Please
2116:Indian
1893:Cyrene
1425:Optics
1344:Conics
1263:Theano
1253:Thales
1248:Sporus
1193:Philon
1178:Pappus
1068:Euclid
998:Carpus
988:Bryson
838:Euclid
531:
407:cit.,
325:ὀστέον
296:
268:, and
223:Bassus
181:ὀστέον
145:Arabic
115:, the
2111:Incan
2032:logic
1808:Other
1576:Chord
1569:Axiom
1547:Angle
1203:Plato
1093:Heron
1013:Conon
610:, by
529:JSTOR
476:(PDF)
461:(PDF)
178:
176:Greek
131:Latin
2073:list
1361:Data
1133:Leon
983:Bion
614:and
484:2013
341:μάχη
294:ISBN
236:Game
228:and
209:The
188:μάχη
1975:by
1689:In
525:187
519:",
423:in
360:in
111:In
47:by
2173::
523:,
501:,
467:.
463:.
264:,
260:,
221:,
910:e
903:t
896:v
651:e
644:t
637:v
618:.
486:.
469:5
411:,
394:.
377:.
168:(
91:)
74:)
68:(
63:)
59:(
41:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
