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Greek numerals

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3836: 3257: 3831:{\displaystyle {\begin{array}{ccc}\pi \varepsilon \varrho \iota \varphi \varepsilon \varrho \varepsilon \iota {\tilde {\omega }}\nu &\varepsilon {\overset {\text{'}}{\upsilon }}\vartheta \varepsilon \iota {\tilde {\omega }}\nu &{\overset {\text{`}}{\varepsilon }}\xi \eta \kappa \mathrm {o} \sigma \tau {\tilde {\omega }}\nu \\{\begin{array}{|l|}\hline \pi \delta \angle '\\\pi \varepsilon \\\pi \varepsilon \angle '\\\hline \pi \mathrm {\stigma} \\\pi \mathrm {\stigma} \angle '\\\pi \zeta \\\hline \end{array}}&{\begin{array}{|r|r|r|}\hline \pi &\mu \alpha &\gamma \\\pi \alpha &\delta &\iota \varepsilon \\\pi \alpha &\kappa \zeta &\kappa \beta \\\hline \pi \alpha &\nu &\kappa \delta \\\pi \beta &\iota \gamma &\iota \vartheta \\\pi \beta &\lambda \mathrm {\stigma} &\vartheta \\\hline \end{array}}&{\begin{array}{|r|r|r|r|}\hline \circ &\circ &\mu \mathrm {\stigma} &\kappa \varepsilon \\\circ &\circ &\mu \mathrm {\stigma} &\iota \delta \\\circ &\circ &\mu \mathrm {\stigma} &\gamma \\\hline \circ &\circ &\mu \varepsilon &\nu \beta \\\circ &\circ &\mu \varepsilon &\mu \\\circ &\circ &\mu \varepsilon &\kappa \vartheta \\\hline \end{array}}\end{array}}} 1084: 5897: 3012: 3006: 2999: 2993: 2986: 2979: 2973: 2964: 2956: 2948: 2940: 2932: 2886: 2878: 2838: 2818: 2798: 2776: 2756: 2736: 2714: 2694: 2646: 2638: 2616: 2596: 2576: 2554: 2534: 2509: 2487: 2467: 2442: 2420: 2400: 2380: 2358: 2338: 2288: 2282: 2276: 2270: 2264: 2258: 2252: 2245: 2239: 2233: 2227: 2674: 2668: 2661: 2655: 2319: 1950: 1944: 1938: 1932: 1429: 1423: 1403: 1397: 2037: 1851: 1827: 2914: 2908: 2901: 2895: 2204: 2198: 2192: 2186: 2179: 1741: 1377: 1371: 1365: 1359: 2518: 2151: 2127: 1925: 1919: 1783: 1719: 1695: 1673: 1583: 1383: 1209: 1199: 9453: 2015: 1651: 1605: 2083: 2059: 1991: 1895: 1763: 1627: 950: 5884: 9463: 2221: 2173: 2105: 1973: 1873: 1805: 1204: 1010: 962: 932: 9473: 2859: 2313: 968: 956: 938: 1296: 2451: 944: 3162: 992: 986: 980: 974: 43: 3019: 2294: 1068:, is problematic since its uncommon value means the first attested representative near Miletus does not appear until the 2nd century BC, and its use is unattested in Athens until the 2nd century CE. (In general, Athenians resisted using the new numerals for the longest of any Greek state, but had fully adopted them by 3101:
gives an upper bound of the number of grains of sand required to fill the entire universe, using a contemporary estimation of its size. This would defy the then-held notion that it is impossible to name a number greater than that of the sand on a beach or on the entire world. In order to do that,
6557: 1212: (200 + 40 + 1). (It was not always the case that the numbers ran from highest to lowest: a 4th-century BC inscription at Athens placed the units to the left of the tens. This practice continued in 4010:, where Ptolemy actually used three of the symbols described in the previous paragraph. The vertical bar (|) indicates that the integral part on the left was in a separate column labeled in the headings of his tables as 1173:. Instead of reusing these numbers to form multiples of the higher powers of ten, however, each multiple of ten from 10 to 90 was assigned its own separate letter from the next nine letters of the Ionic alphabet from 3954:
during the second century was a very small circle with an overbar several diameters long, terminated or not at both ends in various ways. Later, the overbar shortened to only one diameter, similar to the modern
3189:, which was only used alone for a whole table cell, rather than combined with other digits, like today's modern zero, which is a placeholder in positional numeric notation. This system was probably adapted from 1189:. (That this was not the traditional location of sampi in the Ionic alphabetical order has led classicists to conclude that sampi had fallen into disuse as a letter by the time the system was created.) 1064:. The position of those characters within the numbering system imply that the first two were still in use (or at least remembered as letters) while the third was not. The exact dating, particularly for 1248: (600 + 60 + 6). (Numbers larger than 1,000 reused the same letters but included various marks to note the change.) Fractions were indicated as the denominator followed by a 1514:
The practice of adding up the number values of Greek letters of words, names and phrases, thus connecting the meaning of words, names and phrases with others with equivalent numeric sums, is called
1252:(ʹ); γʹ indicated one third, δʹ one fourth and so on. As an exception, special symbol ∠ʹ indicated one half, and γ°ʹ or γoʹ was two-thirds. These fractions were additive (also known as 1356:
forms began early. These new letter forms sometimes replaced the former ones, especially in the case of the obscure numerals. The old Q-shaped koppa (Ϙ) began to be broken up (
3647: 3986:
Some of Ptolemy's true zeros appeared in the first line of each of his eclipse tables, where they were a measure of the angular separation between the center of the
3939:
for "sixtieths", is the number to be added to the chord length for each 1° increase in the arc, over the span of the next 12°. Thus that last column was used for
3496: 1380:). The numeral for 6 changed several times. During antiquity, the original letter form of digamma (Ϝ) came to be avoided in favour of a special numerical one ( 64: 3244:". In the 2nd-century papyrus shown here, one can see the symbol for zero in the lower right, and a number of larger omicrons elsewhere in the same papyrus. 4221: 1196:
operates on the additive principle in which the numeric values of the letters are added together to obtain the total. For example, 241 was represented as
4653: 1455: "hornlike projection") is marked to its upper right, a development of the short marks formerly used for single numbers and fractions. The modern 3959:-macron (ō) which was still being used in late medieval Arabic manuscripts whenever alphabetic numerals were used, later the overbar was omitted in 6600: 1028:. 19th century classicists placed its development in the 3rd century BC, the occasion of its first widespread use. More thorough 5757: 1496:
The declining use of ligatures in the 20th century also means that stigma is frequently written as the separate letters ΣΤʹ, although a single
3979:
was still used with its original numerical value of 70; however, there was no ambiguity, as 70 could not appear in the fractional part of a
6496: 3398: 5357: 4363: 8200: 6328: 51: 5835: 775: 6567: 5933: 5138: 4674: 6532: 4646: 495: 5682: 4486: 5412: 4564: 7588: 5377: 1489:(Unicode: U+0375, "Greek Lower Numeral Sign") is now standard for distinguishing thousands: 2019 is represented as ͵ΒΙΘʹ ( 1044:'s in 402 BC, and it may predate that by a century or two. The present system uses the 24 letters adopted under 6593: 5745: 5148: 4438: 802: 8210: 7900: 7593: 7527: 5812: 4639: 4155: 999:(left half of a full circle) and one-quarter by ɔ (right side of a full circle). The same system was used outside of 328: 7598: 7573: 4265: 9407: 8156: 7583: 7578: 4404: 4303: 8050: 7910: 7905: 7182: 6486: 4225: 3251:, the first fairly extensive trigonometric table, there were 360 rows, portions of which looked as follows: 119: 17: 9434: 8075: 7489: 6586: 5781: 5714: 5347: 5227: 562: 9429: 8986: 8479: 7995: 7915: 7613: 7323: 6491: 6396: 4181: 854: 768: 343: 9402: 7931: 7385: 6225: 5926: 5850: 5607: 5495: 4670: 3248: 1310: 929:, derived (after the initial one) from the first letters of the names of the numbers represented. They ran 842: 688: 4626: 4139: 3103: 8457: 8065: 7941: 7603: 7557: 7512: 7288: 6977: 6155: 5559: 5490: 4093: 515: 8996: 1439:, a number of other changes have been made. Instead of extending an over bar over an entire number, the 1220:.) In ancient and medieval manuscripts, these numerals were eventually distinguished from letters using 698: 9509: 9118: 8991: 8124: 8119: 8095: 8005: 7522: 6620: 5186: 5002: 1181:. Each multiple of one hundred from 100 to 900 was then assigned its own separate letter as well, from 575: 4977: 9476: 9419: 8375: 8178: 8163: 8085: 8020: 7340: 7235: 6709: 6643: 6542: 6197: 5721: 5692: 5052: 4907: 4514: 4115: 1193: 671: 440: 7987: 7967: 7165: 6823: 3185:
by limiting each position to a maximum value of 50 + 9 and including a special symbol for
9499: 8173: 8136: 8070: 7736: 7623: 6460: 6300: 5855: 5589: 5132: 4170: 3169: 761: 88: 1083: 9456: 8580: 8380: 8365: 8168: 8151: 8131: 8100: 8000: 7936: 7552: 7537: 7507: 7468: 7345: 7197: 6699: 6522: 6470: 6401: 6320: 5919: 5817: 5793: 5667: 5602: 5543: 5480: 5470: 5206: 5125: 4987: 4897: 4777: 4186: 1161:, based on powers of 10. The units from 1 to 9 are assigned to the first nine letters of the old 1052:
and Ionic ones that had not been dropped from the Athenian alphabet (although kept for numbers):
1037: 1004: 798: 792: 751: 535: 132: 56: 5087: 1032:
has caused the date to be pushed back at least to the 5th century BC, a little before
396: 9414: 8417: 8188: 8146: 8080: 8045: 7497: 7481: 7177: 7118: 6967: 6962: 6431: 6339: 6248: 6077: 5840: 5788: 5687: 5515: 5465: 5450: 5445: 5216: 5017: 4952: 4942: 4892: 1304: 874: 435: 351: 925:
composed another system that came into use perhaps in the 7th century BC. They were
9466: 8695: 8685: 8675: 8660: 8350: 8090: 8060: 8015: 8010: 7641: 7608: 7410: 7315: 7301: 6957: 6828: 6792: 6547: 6435: 6355: 6334: 6285: 5888: 5740: 5584: 5525: 5402: 5325: 5273: 5075: 4982: 4832: 4468: 4416: 4375: 4315: 4257: 4251: 4161: 3226: 3039: 1330: 553: 8938: 8932: 8918: 8402: 8360: 8332: 8217: 8030: 7260: 7056: 6537: 6517: 6465: 6365: 6324: 5994: 5865: 5805: 5769: 5612: 5435: 5382: 5352: 5342: 5251: 5114: 5007: 4922: 4877: 4857: 4702: 4687: 4178: – Numerological connection between words whose letters' number values have equal sums 3940: 3109: 1476: 1414: 965: = 10,000. The numbers 50, 500, 5,000, and 50,000 were represented by the letter 648: 509: 502: 383: 3165:
Example of the early Greek symbol for zero (lower right corner) from a 2nd-century papyrus
8: 9069: 9039: 8427: 8322: 8317: 7754: 7069: 6982: 6952: 6906: 6669: 6512: 6360: 6140: 6098: 5966: 5845: 5764: 5752: 5733: 5697: 5617: 5535: 5520: 5510: 5460: 5455: 5397: 5266: 5158: 5022: 5012: 4912: 4882: 4822: 4797: 4722: 4712: 4697: 4490: 4191: 3262: 3215: 3190: 3179: 3113: 1472: 1241: 1049: 1033: 730: 720: 595: 546: 358: 290: 145: 106: 4525: 3859:
is the length of the corresponding chord of the circle, when the diameter is 120. Thus
3850:
is the number of degrees of arc on a circle. Each number in the second column, labeled
185: 9286: 9183: 9089: 8733: 8650: 8538: 8040: 7864: 7380: 7360: 7217: 7088: 6972: 6767: 6694: 6290: 6187: 5976: 5901: 5860: 5800: 5728: 5594: 5569: 5387: 5362: 5330: 5168: 4927: 4872: 4837: 4732: 4556: 4548: 4412: 4371: 4311: 4014:(of five arc-minutes each), whereas the fractional part was in the next column labeled 1237: 1098: 1029: 643: 233: 228: 175: 4152: – Numeral system using letters of the Hebrew alphabet, based on the Greek system 180: 9504: 9462: 9361: 8948: 8497: 8345: 8297: 8141: 8110: 8055: 7972: 7849: 7721: 7542: 7375: 7328: 7268: 7142: 7124: 7100: 7082: 7037: 6992: 6987: 6638: 6416: 6381: 6243: 6219: 5896: 5574: 5485: 5335: 5261: 5234: 4997: 4817: 4807: 4742: 4662: 4560: 4472: 4261: 4133: 4127: 3093: 1253: 725: 715: 703: 683: 638: 633: 569: 401: 373: 280: 213: 203: 190: 155: 150: 4222:"Systèmes numéraux en Grèce ancienne: Description et mise en perspective historique" 618: 9291: 8823: 8788: 8605: 8462: 8340: 8227: 8222: 7547: 7502: 7333: 7240: 6856: 6689: 6674: 6664: 6452: 6421: 6295: 6164: 5986: 5776: 5647: 5564: 5320: 5308: 5256: 4992: 4581: 3960: 1300: 1094: 1053: 628: 522: 275: 263: 208: 198: 165: 140: 9306: 9064: 8852: 8665: 8407: 8273: 8205: 7532: 7130: 7112: 7106: 7020: 6997: 6871: 6782: 6742: 6679: 6562: 6552: 6258: 6093: 6007: 5971: 5961: 5417: 5407: 5301: 5027: 4149: 2370: 1527: 1417: 1387: 1353: 1322: 1150: 1146: 886: 858: 740: 710: 653: 623: 608: 368: 336: 308: 285: 268: 127: 9331: 9044: 6270: 4536: 4256:( reprint ed.). Oxford, UK: Oxford University Press; Dover Books. pp.  223: 9188: 9128: 9123: 9079: 8860: 8808: 8798: 8778: 8768: 8512: 8502: 7355: 7154: 7148: 7136: 6936: 6911: 6684: 6609: 6406: 6391: 6275: 6263: 6046: 5942: 5672: 5500: 5392: 5200: 4757: 4727: 4197: 4121: 3182: 3117: 3011: 3005: 2998: 2992: 2985: 2978: 2972: 2963: 2955: 2947: 2939: 2931: 2924: 2885: 2877: 2837: 2830: 2817: 2797: 2775: 2768: 2755: 2735: 2713: 2706: 2693: 2645: 2637: 2615: 2608: 2595: 2575: 2553: 2546: 2533: 2508: 2486: 2479: 2466: 2441: 2419: 2412: 2399: 2379: 2357: 2350: 2337: 2287: 2281: 2275: 2269: 2263: 2257: 2251: 2244: 2238: 2232: 2226: 1407: 1318: 1186: 1178: 1170: 1166: 1162: 1142: 1061: 1057: 1041: 922: 846: 834: 830: 678: 658: 613: 486: 218: 170: 96: 4442: 3863:
represents an 84° arc, and the ∠′ after it means one-half, so that πδ∠′ means
9493: 9424: 9341: 9316: 9006: 8928: 8610: 8553: 8452: 8442: 8412: 8394: 8268: 7420: 7202: 7094: 7050: 7012: 6851: 6772: 6527: 6426: 6253: 6238: 6206: 6150: 6145: 6120: 6020: 5637: 5505: 5475: 5296: 5104: 5047: 4003: 3995: 2870: 2810: 2748: 2686: 2588: 2526: 2459: 2392: 2330: 1174: 850: 541: 430: 363: 303: 238: 160: 4631: 9241: 9193: 9059: 8913: 8783: 8422: 8258: 7764: 7726: 7425: 6280: 6233: 6213: 6088: 6059: 5956: 5579: 5367: 5042: 4802: 4792: 4610: 3236:). The symbol for zero is clearly different from that of the value for 70, 2673: 2667: 2660: 2654: 2304: 2142: 2074: 2006: 1949: 1943: 1937: 1931: 1910: 1842: 1774: 1710: 1642: 1460: 1436: 1428: 1422: 1411: 1402: 1396: 1217: 1182: 693: 31: 2036: 1850: 1826: 1391: 9261: 9153: 9133: 8961: 8469: 8447: 8437: 8432: 8355: 8312: 7859: 7769: 7759: 7646: 7636: 7400: 6777: 6752: 6182: 6174: 6132: 6115: 6110: 6033: 5193: 5081: 4787: 4772: 3980: 3947: 3176: 2913: 2907: 2900: 2894: 2214: 2203: 2197: 2191: 2185: 2178: 2120: 2052: 1984: 1888: 1820: 1756: 1740: 1688: 1620: 1376: 1370: 1364: 1358: 1342: 663: 528: 480: 470: 8966: 2517: 2150: 2126: 1924: 1918: 1782: 1718: 1694: 1672: 1582: 1382: 1208: 1198: 9198: 9168: 9163: 9148: 9034: 9001: 8670: 8640: 8307: 8035: 7869: 7711: 7706: 7696: 7681: 7666: 7656: 7631: 7007: 6762: 6717: 5179: 5098: 5037: 5032: 4972: 4957: 4902: 4887: 4842: 4782: 4767: 4747: 4717: 4682: 3194: 3186: 3172: 3098: 2318: 2166: 2098: 2030: 2014: 1966: 1866: 1798: 1734: 1666: 1650: 1604: 1598: 1299:
A 14th-century Byzantine map of the British Isles from a manuscript of
1213: 926: 465: 30:
The numerical signs 𐆊 and ͵ redirect here. For the accent mark ´, see
2082: 2058: 1990: 1894: 1762: 1626: 949: 9173: 9099: 9084: 9054: 9049: 8981: 8905: 8890: 8875: 8818: 8718: 8370: 8302: 7874: 7854: 7824: 7819: 7814: 7779: 7774: 7744: 7691: 7651: 7430: 7296: 7250: 7230: 6861: 6732: 6442: 4932: 4917: 4867: 4762: 4752: 4737: 4707: 4175: 3038:
Alternatively, sub-sections of manuscripts are sometimes numbered by
2220: 2172: 2104: 1972: 1872: 1804: 1516: 1509: 1334: 1203: 1045: 1009: 961: 931: 475: 3161: 9223: 9213: 9203: 9178: 8956: 8923: 8885: 8828: 8743: 8728: 8585: 8575: 8492: 8487: 7884: 7879: 7839: 7834: 7809: 7789: 7716: 7671: 7661: 7517: 7415: 7350: 7278: 6886: 6386: 5069: 4847: 4692: 4605: 3971:
does not support the hypothesis that the latter was the initial of
3930:° when the diameter of the circle is 120. The next column, labeled 2858: 2312: 1522: 967: 955: 937: 882: 878: 8976: 1295: 9366: 9356: 9301: 9296: 9281: 9271: 9256: 9251: 9138: 9026: 9016: 8895: 8870: 8865: 8838: 8833: 8813: 8803: 8793: 8758: 8748: 8738: 8690: 8680: 8655: 8620: 8615: 8590: 8243: 8025: 7686: 7676: 7435: 7405: 7395: 7390: 7370: 7365: 7245: 7192: 6901: 6891: 6881: 6876: 6866: 6578: 5911: 5642: 4967: 4962: 4862: 4852: 4827: 4599: 4054: 3951: 3950:
placeholder or zero symbol changed over time: The symbol used on
3241: 3237: 3204: 2450: 1468: 1350: 1338: 1314: 1221: 1158: 1021: 1014: 943: 870: 460: 445: 9311: 8625: 42: 9336: 9266: 9246: 9208: 9074: 8880: 8773: 8710: 8700: 8645: 8263: 8248: 7844: 7829: 7804: 7799: 7784: 7445: 7440: 7207: 7187: 6931: 6921: 6916: 6787: 6747: 6737: 6722: 4937: 4812: 4080: 3046: 3029: 2850: 2788: 2726: 2628: 2566: 2499: 2432: 1346: 1000: 838: 450: 3983:
number, and zero was usually omitted when it was the integer.
3916:. That is the length of the chord corresponding to an arc of 991: 985: 979: 973: 971:
with minuscule powers of ten written in the top right corner:
9346: 9321: 9218: 9158: 9143: 9011: 8971: 8723: 8635: 8630: 8600: 8595: 8570: 8253: 7794: 7749: 7701: 7273: 7225: 6926: 6896: 6843: 6818: 6757: 6727: 5313: 5291: 4947: 4067: 3999: 3932: 3852: 3843: 1467:(U+0384,΄) and the prime symbol (U+02B9, ʹ), but has its own 1464: 1138: 1106: 1065: 1025: 455: 417: 378: 4613:
Princeton, NJ: Princeton University Press. pp. 306–307.
4018:, meaning sixtieths (and thirty-six-hundredths) of a digit. 9351: 9326: 9276: 8763: 8753: 4124: – Symbolic number notation used by the ancient Greeks 3987: 1520:. Similar practices for the Hebrew and English are called 3967:(omicron). This gradual change from an invented symbol to 3991: 3018: 2293: 889:, which included number-only symbols for powers of ten: 4166:
Pages displaying short descriptions of redirect targets
4144:
Pages displaying short descriptions of redirect targets
4130: – Numeral system derived from the Cyrillic script 4194: – Number associated with the Beast of Revelation 3049:
notation is used for multiples of 10,000, for example
4526:
https://www.unicode.org/L2/L2004/04054-greek-zero.pdf
3260: 914: 908: 902: 896: 890: 4471:
Oxford Univ. Press (Oxford), 1931. Reprinted Dover (
4215: 4213: 1137:". It features each of the special numeral symbols 3830: 9491: 4210: 6814: 4352:. Oxford, UK: Clarendon Press. pp. 38 ff. 6594: 5927: 4661: 4647: 4537:https://raymondm.co.uk/prog/GreekZeroSign.pdf 4484: 1020:The present system probably developed around 769: 27:System of writing numbers using Greek letters 6497:Institute for Language and Speech Processing 4245: 4243: 4142: – Graphemes for various number systems 4510: 4508: 4200: – Numbers in the Roman numeral system 2159: 2135: 2113: 2091: 2067: 2045: 2023: 1999: 1955: 1903: 1881: 1859: 1835: 1813: 1791: 1749: 1727: 1703: 1681: 1659: 1635: 1613: 1591: 1480: 1446: 7480: 6601: 6587: 5934: 5920: 4654: 4640: 4582:"Consideration of the Greek symbol 'zero'" 4547: 3175:extended alphabetic Greek numerals into a 885:alphabets used a different system, called 845:and in contexts similar to those in which 776: 762: 4292:. New York, NY: D. Appleton. p. 114. 4240: 3841:Each number in the first column, labeled 6568:Comparison of Ancient Greek dictionaries 4505: 4290:Handbook of Greek and Latin Palaeography 4287: 4164: – Branch of elementary mathematics 3975:meaning "nothing". Note that the letter 3160: 1294: 1082: 67:of all important aspects of the article. 4598: 4347: 803:question marks, boxes, or other symbols 14: 9492: 8534: 5683:Latin translations of the 12th century 4436: 4219: 4146:(acrophonic, not alphabetic, numerals) 3042:(αʹ. βʹ. γʹ. δʹ. εʹ. ϛʹ. ζʹ. ηʹ. θʹ.). 1236:, etc. In medieval manuscripts of the 1105:. The first line contains the number " 63:Please consider expanding the lead to 9391: 8533: 7962: 7466: 6813: 6633: 6582: 5915: 5413:Straightedge and compass construction 4635: 4249: 4136: – Mathematics of Ancient Greeks 9002:Illicitanus Limin/Portus Illicitanus 6634: 5378:Incircle and excircles of a triangle 4457: 4411:. The Packard Humanities Institute. 4370:. The Packard Humanities Institute. 4310:. The Packard Humanities Institute. 4158: – Symbols representing numbers 4006:). All of these zeros took the form 3116:developed a simpler system based on 36: 4579: 4350:The Local Scripts of Archaic Greece 24: 7963: 6608: 5941: 4475:), 2003. Accessed 1 November 2013. 4156:History of ancient numeral systems 3472: 3436: 3408: 3368: 1406:. This eventually merged with the 1003:, but the symbols varied with the 25: 9521: 4620: 3086: 9471: 9461: 9452: 9451: 5895: 5882: 4487:"Numerals: Stigma, Koppa, Sampi" 4220:Verdan, Samuel (20 March 2007). 3017: 3010: 3004: 2997: 2991: 2984: 2977: 2971: 2962: 2954: 2946: 2938: 2930: 2912: 2906: 2899: 2893: 2884: 2876: 2857: 2836: 2816: 2796: 2774: 2754: 2734: 2712: 2692: 2672: 2666: 2659: 2653: 2644: 2636: 2614: 2594: 2574: 2552: 2532: 2516: 2507: 2485: 2465: 2449: 2440: 2418: 2398: 2378: 2356: 2336: 2317: 2311: 2292: 2286: 2280: 2274: 2268: 2262: 2256: 2250: 2243: 2237: 2231: 2225: 2219: 2202: 2196: 2190: 2184: 2177: 2171: 2149: 2125: 2103: 2081: 2057: 2035: 2013: 1989: 1971: 1948: 1942: 1936: 1930: 1923: 1917: 1893: 1871: 1849: 1825: 1803: 1781: 1761: 1739: 1717: 1693: 1671: 1649: 1625: 1603: 1581: 1427: 1421: 1401: 1395: 1381: 1375: 1369: 1363: 1357: 1207: 1202: 1197: 1008: 990: 984: 978: 972: 966: 960: 954: 948: 942: 936: 930: 41: 9472: 6487:Hellenic Foundation for Culture 4592: 4573: 4553:The Exact Sciences in Antiquity 4541: 4530: 4519: 4515:Greek number systems - MacTutor 4478: 1459:(´) is a symbol similar to the 1309:, using Greek numerals for its 55:may be too short to adequately 5715:A History of Greek Mathematics 5228:The Quadrature of the Parabola 4485:Nick Nicholas (9 April 2005). 4430: 4397: 4356: 4341: 4296: 4281: 4118: – Type of numeral system 3877:°. In the next column we see 3384: 3337: 3298: 1485:in modern Greek. A lower left 1078: 995:. One-half was represented by 857:, however, modern Greece uses 65:provide an accessible overview 13: 1: 7073: 7060: 7041: 7024: 6492:Center for the Greek Language 6050: 6037: 6024: 6011: 5998: 4465:A Manual of Greek Mathematics 4409:Searchable Greek Inscriptions 4368:Searchable Greek Inscriptions 4308:Searchable Greek Inscriptions 4253:A Manual of Greek Mathematics 4204: 4182:List of numeral system topics 3990:and either the center of the 3219: 3208: 3197: 3074:(also written on the line as 1088: 1069: 8201:Funeral and burial practices 7386:Military of Mycenaean Greece 5496:Intersecting secants theorem 4288:Thompson, Edward M. (1893). 3963:manuscripts, leaving a bare 3231: 1503: 7: 5491:Intersecting chords theorem 5358:Doctrine of proportionality 4559:. pp. 13–14, plate 2. 4348:Jeffery, Lilian H. (1961). 4224:(in French). Archived from 4109: 4094:Numeric character reference 3153:was 10,000 = 10 and so on. 10: 9526: 8125:Greek Revival architecture 7467: 5187:On the Sphere and Cylinder 5140:On the Sizes and Distances 4627:The Greek Number Converter 4250:Heath, Thomas L. (2003) . 3933: 3853: 3844: 3142:was 10,000 = 100,000,000, 3097:, the natural philosopher 1507: 1390:, the letter was known as 1317:and 6–33°E from Ptolemy's 1107: 915: 909: 903: 897: 891: 864: 841:, they are still used for 496:Non-standard radices/bases 29: 9447: 9398: 9392: 9387: 9232: 9109: 9098: 9025: 8947: 8904: 8851: 8709: 8561: 8552: 8548: 8529: 8478: 8393: 8331: 8293: 8286: 8236: 8196: 8187: 8109: 7986: 7982: 7958: 7924: 7893: 7735: 7622: 7566: 7533:Attalid kings of Pergamon 7488: 7479: 7475: 7462: 7341:Antigonid Macedonian army 7314: 7287: 7259: 7216: 7173: 7164: 7006: 6945: 6842: 6838: 6809: 6708: 6657: 6653: 6629: 6616: 6505: 6479: 6451: 6374: 6348: 6313: 6196: 6173: 6076: 6069: 5985: 5949: 5889:Ancient Greece portal 5878: 5828: 5706: 5693:Philosophy of mathematics 5663: 5656: 5630: 5608:Ptolemy's table of chords 5552: 5534: 5433: 5426: 5282: 5244: 5061: 4669: 4663:Ancient Greek mathematics 4602:(1998) . "Book VI". 4589:— gives numerous examples 4439:"Classical Greek Numbers" 4277:– via Google Books. 4140:Greek numerals in Unicode 4116:Alphabetic numeral system 4037: 4029: 4026: 3249:Ptolemy's table of chords 3106:with much greater range. 2160: 2136: 2114: 2092: 2068: 2046: 2024: 2000: 1956: 1904: 1882: 1860: 1836: 1814: 1792: 1750: 1728: 1704: 1682: 1660: 1636: 1614: 1592: 1481: 1447: 1007:, for example, 1,000 was 833:using the letters of the 831:system of writing numbers 5560:Aristarchus's inequality 5133:On Conoids and Spheroids 4378:. Magnesia 4  4171:History of communication 1533: 959: = 1,000, and 6523:Greek language question 5668:Ancient Greek astronomy 5481:Inscribed angle theorem 5471:Greek geometric algebra 5126:Measurement of a Circle 4555:(2, reprint ed.). 4187:List of numeral systems 3225:) and Theon's daughter 3156: 1500:is used for the group. 1038:pre-Eucleidean alphabet 913: = 1000, and 875:Mycenaean civilizations 752:List of numeral systems 7567:Artists & scholars 7482:List of ancient Greeks 7119:Second Athenian League 6968:Greco-Bactrian Kingdom 6793:Ancient Greek colonies 5902:Mathematics portal 5688:Non-Euclidean geometry 5643:Mouseion of Alexandria 5516:Tangent-secant theorem 5466:Geometric mean theorem 5451:Exterior angle theorem 5446:Angle bisector theorem 5150:On Sizes and Distances 4022:Character information 3832: 3203:. It was then used by 3166: 1326: 1154: 849:are still used in the 791:This article contains 8686:Sybaris on the Traeis 7411:Sacred Band of Thebes 7151:(c. 300 BC–c. 300 AD) 6665:Cycladic civilization 5590:Pappus's area theorem 5526:Theorem of the gnomon 5403:Quadratrix of Hippias 5326:Circles of Apollonius 5274:Problem of Apollonius 5252:Constructible numbers 5076:Archimedes Palimpsest 4417:Ohio State University 4376:Ohio State University 4316:Ohio State University 4162:History of arithmetic 3833: 3164: 1471:character as U+0374. 1298: 1086: 120:Hindu–Arabic numerals 8211:mythological figures 7932:Ancient Greek tribes 7057:Peloponnesian League 6533:Morphemes in English 6518:Eteocypriot language 5950:Origin and genealogy 5806:prehistoric counting 5603:Ptolemy's inequality 5544:Apollonius's theorem 5383:Method of exhaustion 5353:Diophantine equation 5343:Circumscribed circle 5160:On the Moving Sphere 3941:linear interpolation 3258: 3110:Pappus of Alexandria 3040:lowercase characters 1477:Philip II of Macedon 1087:Greek numerals in a 919: = 10000. 827:Alexandrian numerals 649:Prehistoric counting 425:Common radices/bases 107:Place-value notation 8323:Tunnel of Eupalinos 8318:Theatre of Dionysus 7942:Ancient Macedonians 7558:Tyrants of Syracuse 7070:Amphictyonic League 6670:Minoan civilization 6538:Terms of endearment 6513:Eteocretan language 6480:Promotion and study 5967:Pre-Greek substrate 5892: • 5698:Neusis construction 5618:Spiral of Theodorus 5511:Pythagorean theorem 5456:Euclidean algorithm 5398:Lune of Hippocrates 5267:Squaring the circle 5023:Theon of Alexandria 4698:Aristaeus the Elder 4437:Edkins, Jo (2006). 4192:Number of the beast 4023: 4016:minute of immersion 3998:) or the center of 3223: 380  AD 3191:Babylonian numerals 3114:Apollonius of Perga 3102:he had to devise a 1473:Alexander the Great 1242:number of the Beast 1157:Greek numerals are 1048:, as well as three 596:Sign-value notation 8997:Menestheus's Limin 8651:Pandosia (Lucania) 8539:Greek colonisation 7901:Athenian statesmen 7662:Diogenes of Sinope 7523:Kings of Macedonia 7513:Kings of Commagene 7381:Macedonian phalanx 7361:Hellenistic armies 7109:(c. 424–c. 395 BC) 6973:Indo-Greek Kingdom 6695:Hellenistic Greece 6558:Greek Language Day 6188:Jewish Koine Greek 5977:Hellenic languages 5585:Menelaus's theorem 5575:Irrational numbers 5388:Parallel postulate 5363:Euclidean geometry 5331:Apollonian circles 4873:Isidore of Miletus 4580:Mercier, Raymond. 4557:Dover Publications 4413:Cornell University 4372:Cornell University 4312:Cornell University 4228:on 2 February 2010 4021: 3828: 3826: 3822: 3642: 3491: 3234: 415 AD 3212: 140 BC 3167: 3104:new numeral scheme 3045:In Ancient Greek, 1491:2 × 1,000 + 10 + 9 1368:) and simplified ( 1327: 1254:Egyptian fractions 1244:666 is written as 1238:Book of Revelation 1155: 1099:Hero of Alexandria 1030:modern archaeology 953: = 100, 907: = 100, 793:special characters 252:East Asian systems 9510:Greek mathematics 9485: 9484: 9443: 9442: 9383: 9382: 9379: 9378: 9375: 9374: 8949:Iberian Peninsula 8881:Lipara/Meligounis 8847: 8846: 8525: 8524: 8521: 8520: 8498:Cypriot syllabary 8389: 8388: 8298:Athenian Treasury 8282: 8281: 7954: 7953: 7950: 7949: 7543:Ptolemaic dynasty 7503:Archons of Athens 7458: 7457: 7454: 7453: 7329:Athenian military 7310: 7309: 7143:League of Corinth 7125:Thessalian League 7101:Chalcidian League 7083:Acarnanian League 6993:Ptolemaic Kingdom 6805: 6804: 6801: 6800: 6576: 6575: 6382:Cypriot syllabary 6309: 6308: 6183:Hellenistic Koine 5909: 5908: 5874: 5873: 5626: 5625: 5613:Ptolemy's theorem 5486:Intercept theorem 5336:Apollonian gasket 5262:Doubling the cube 5235:The Sand Reckoner 4600:Ptolemy, Claudius 4566:978-0-486-22332-2 4463:Heath, Thomas L. 4364:"Magnesia 4" 4134:Greek mathematics 4128:Cyrillic numerals 4107: 4106: 3387: 3356: 3355: 3340: 3320: 3319: 3301: 3094:The Sand Reckoner 3035: 3034: 1479:is thus known as 1454: 1341:manuscripts from 1337:forms, surviving 1313:: 52–63°N of the 1194:alphabetic system 1073: 50 CE 947: = 10, 901: = 10, 799:rendering support 786: 785: 585: 584: 82: 81: 16:(Redirected from 9517: 9475: 9474: 9465: 9455: 9454: 9389: 9388: 9107: 9106: 8606:Heraclea Lucania 8559: 8558: 8550: 8549: 8531: 8530: 8291: 8290: 8223:Twelve Olympians 8194: 8193: 7984: 7983: 7960: 7959: 7548:Seleucid dynasty 7528:Kings of Paionia 7477: 7476: 7464: 7463: 7334:Scythian archers 7241:Graphe paranomon 7171: 7170: 7078: 7075: 7065: 7062: 7046: 7043: 7033: 7029: 7026: 6840: 6839: 6811: 6810: 6690:Classical Greece 6675:Mycenaean Greece 6655: 6654: 6631: 6630: 6603: 6596: 6589: 6580: 6579: 6301:Greco-Australian 6074: 6073: 6055: 6052: 6042: 6039: 6029: 6026: 6016: 6013: 6003: 6000: 5936: 5929: 5922: 5913: 5912: 5900: 5899: 5887: 5886: 5885: 5661: 5660: 5648:Platonic Academy 5595:Problem II.8 of 5565:Crossbar theorem 5521:Thales's theorem 5461:Euclid's theorem 5431: 5430: 5348:Commensurability 5309:Axiomatic system 5257:Angle trisection 5222: 5212: 5174: 5164: 5154: 5144: 5120: 5110: 5093: 4656: 4649: 4642: 4633: 4632: 4615: 4614: 4609:. Translated by 4596: 4590: 4588: 4586: 4577: 4571: 4570: 4549:Neugebauer, Otto 4545: 4539: 4534: 4528: 4523: 4517: 4512: 4503: 4502: 4500: 4498: 4493:on 5 August 2012 4489:. Archived from 4482: 4476: 4461: 4455: 4454: 4452: 4450: 4441:. Archived from 4434: 4428: 4427: 4425: 4423: 4401: 4395: 4394: 4392: 4390: 4385: 4360: 4354: 4353: 4345: 4339: 4338: 4336: 4334: 4329: 4321: 4300: 4294: 4293: 4285: 4279: 4278: 4276: 4274: 4247: 4238: 4237: 4235: 4233: 4217: 4167: 4145: 4103: 4099: 4038:GREEK ZERO SIGN 4024: 4020: 4009: 3974: 3938: 3936: 3935: 3929: 3928: 3924: 3921: 3915: 3914: 3912: 3911: 3908: 3905: 3898: 3896: 3895: 3892: 3889: 3881: , meaning 3880: 3879:π μα γ 3876: 3875: 3871: 3868: 3862: 3858: 3856: 3855: 3849: 3847: 3846: 3837: 3835: 3834: 3829: 3827: 3823: 3733: 3732: 3701: 3700: 3669: 3668: 3643: 3634: 3633: 3492: 3478: 3470: 3469: 3456: 3455: 3442: 3414: 3389: 3388: 3380: 3371: 3357: 3353: 3349: 3342: 3341: 3333: 3321: 3317: 3313: 3303: 3302: 3294: 3235: 3233: 3224: 3221: 3213: 3210: 3202: 3199: 3183:numbering system 3152: 3151: 3150: 3147: 3141: 3140: 3139: 3136: 3130: 3129: 3128: 3125: 3082:) for 1,234,567. 3081: 3077: 3073: 3070: 3069: 3068: 3065: 3059: 3058: 3057: 3054: 3021: 3014: 3009: and ͵ 3008: 3001: 2996: and ͵ 2995: 2988: 2981: 2976: and ͵ 2975: 2966: 2958: 2950: 2942: 2934: 2916: 2911: and ͵ 2910: 2903: 2898: and ͵ 2897: 2888: 2880: 2861: 2840: 2820: 2800: 2778: 2758: 2738: 2716: 2696: 2676: 2671: and ͵ 2670: 2663: 2658: and ͵ 2657: 2648: 2640: 2618: 2598: 2578: 2556: 2536: 2520: 2511: 2489: 2469: 2453: 2444: 2422: 2402: 2382: 2360: 2340: 2321: 2315: 2296: 2290: 2284: 2278: 2272: 2266: 2260: 2254: 2247: 2241: 2235: 2229: 2223: 2206: 2200: 2194: 2188: 2181: 2175: 2163: 2162: 2153: 2139: 2138: 2129: 2117: 2116: 2107: 2095: 2094: 2085: 2071: 2070: 2061: 2049: 2048: 2039: 2027: 2026: 2017: 2003: 2002: 1993: 1975: 1959: 1958: 1952: 1946: 1940: 1934: 1927: 1921: 1907: 1906: 1897: 1885: 1884: 1875: 1863: 1862: 1853: 1839: 1838: 1829: 1817: 1816: 1807: 1795: 1794: 1785: 1765: 1753: 1752: 1743: 1731: 1730: 1721: 1707: 1706: 1697: 1685: 1684: 1675: 1663: 1662: 1653: 1639: 1638: 1629: 1617: 1616: 1607: 1595: 1594: 1585: 1540: 1539: 1530:, respectively. 1492: 1484: 1483: 1452: 1450: 1449: 1431: 1425: 1405: 1399: 1385: 1379: 1373: 1367: 1361: 1333:began with only 1291: 1290: 1289: 1285: 1280: 1279: 1275: 1270: 1269: 1265: 1259: 1247: 1235: 1231: 1227: 1211: 1206: 1201: 1136: 1135: 1134: 1130: 1125: 1124: 1120: 1113: 1112: 1110: 1093: 1090: 1074: 1071: 1012: 998: 994: 988: 982: 976: 970: 964: 958: 952: 946: 941: = 5, 940: 935: = 1, 934: 918: 917: 912: 911: 906: 905: 900: 899: 895: = 1, 894: 893: 855:cardinal numbers 813:, also known as 778: 771: 764: 567: 551: 533: 523:balanced ternary 520: 507: 113: 112: 84: 83: 77: 74: 68: 45: 37: 21: 9525: 9524: 9520: 9519: 9518: 9516: 9515: 9514: 9500:Numeral systems 9490: 9489: 9486: 9481: 9439: 9394: 9371: 9234: 9228: 9111: 9102: 9094: 9065:Melaina Korkyra 9021: 8943: 8900: 8853:Aeolian Islands 8843: 8705: 8563: 8544: 8543: 8517: 8474: 8385: 8327: 8278: 8232: 8183: 8105: 8096:Wedding customs 7978: 7977: 7946: 7937:Thracian Greeks 7920: 7911:Olympic victors 7889: 7731: 7618: 7562: 7553:Kings of Sparta 7538:Kings of Pontus 7508:Kings of Athens 7484: 7471: 7450: 7346:Army of Macedon 7306: 7283: 7255: 7212: 7160: 7133:(370–c. 230 BC) 7131:Arcadian League 7115:(c. 400–188 BC) 7113:Aetolian League 7107:Boeotian League 7089:Hellenic League 7076: 7063: 7053:(c. 650–404 BC) 7044: 7038:Italiote League 7031: 7027: 7021:Doric Hexapolis 7011: 7002: 6998:Seleucid Empire 6941: 6834: 6833: 6797: 6704: 6680:Greek Dark Ages 6649: 6648: 6625: 6612: 6607: 6577: 6572: 6563:Trojan language 6553:Minoan language 6501: 6475: 6447: 6375:Writing systems 6370: 6366:Standard Modern 6344: 6340:Standard Modern 6305: 6259:Greco/Calabrian 6192: 6169: 6065: 6053: 6040: 6027: 6014: 6008:Mycenaean Greek 6001: 5981: 5972:Graeco-Phrygian 5962:Graeco-Armenian 5945: 5940: 5910: 5905: 5894: 5883: 5881: 5870: 5836:Arabian/Islamic 5824: 5813:numeral systems 5702: 5652: 5622: 5570:Heron's formula 5548: 5530: 5422: 5418:Triangle center 5408:Regular polygon 5285:and definitions 5284: 5278: 5240: 5220: 5210: 5172: 5162: 5152: 5142: 5118: 5108: 5091: 5057: 5028:Theon of Smyrna 4673: 4665: 4660: 4623: 4618: 4597: 4593: 4584: 4578: 4574: 4567: 4546: 4542: 4535: 4531: 4524: 4520: 4513: 4506: 4496: 4494: 4483: 4479: 4462: 4458: 4448: 4446: 4435: 4431: 4421: 4419: 4403: 4402: 4398: 4388: 4386: 4383: 4362: 4361: 4357: 4346: 4342: 4332: 4330: 4327: 4319: 4302: 4301: 4297: 4286: 4282: 4272: 4270: 4268: 4248: 4241: 4231: 4229: 4218: 4211: 4207: 4165: 4150:Hebrew numerals 4143: 4112: 4072:240 144 134 138 4007: 4002:'s shadow (for 3972: 3931: 3926: 3922: 3919: 3917: 3909: 3906: 3903: 3902: 3900: 3893: 3890: 3887: 3886: 3884: 3882: 3878: 3873: 3869: 3866: 3864: 3860: 3851: 3842: 3825: 3824: 3821: 3820: 3812: 3804: 3799: 3793: 3792: 3787: 3779: 3774: 3768: 3767: 3759: 3751: 3746: 3740: 3739: 3734: 3728: 3727: 3722: 3717: 3711: 3710: 3702: 3696: 3695: 3690: 3685: 3679: 3678: 3670: 3664: 3663: 3658: 3653: 3646: 3644: 3641: 3640: 3635: 3629: 3628: 3623: 3614: 3613: 3605: 3597: 3588: 3587: 3579: 3574: 3565: 3564: 3556: 3548: 3539: 3538: 3530: 3525: 3516: 3515: 3510: 3502: 3495: 3493: 3490: 3489: 3480: 3479: 3471: 3465: 3464: 3458: 3457: 3451: 3450: 3444: 3443: 3435: 3426: 3425: 3416: 3415: 3407: 3397: 3394: 3393: 3379: 3378: 3367: 3348: 3346: 3332: 3331: 3312: 3307: 3293: 3292: 3261: 3259: 3256: 3255: 3230: 3222: 3211: 3200: 3159: 3148: 3145: 3144: 3143: 3137: 3134: 3133: 3132: 3126: 3123: 3122: 3121: 3120:of the myriad; 3089: 3079: 3075: 3071: 3066: 3063: 3062: 3061: 3055: 3052: 3051: 3050: 3025: 3015: 3002: 2989: 2982: 2967: 2960: and  2959: 2952: 2951: 2944: and  2943: 2936: 2935: 2920: 2904: 2889: 2882: 2881: 2841: 2821: 2801: 2779: 2759: 2739: 2717: 2697: 2682: 2680: 2664: 2649: 2642: 2641: 2619: 2599: 2579: 2557: 2537: 2512: 2490: 2470: 2445: 2423: 2403: 2383: 2361: 2341: 2316: and  2300: 2291: 2285: and  2279: 2273: and  2267: 2261: 2255: and  2242: and  2236: 2230: and  2224: 2210: 2201: and  2195: 2189: and  2176: 1962: 1960: 1947: and  1941: 1935: and  1922: 1536: 1528:English Qaballa 1512: 1506: 1490: 1394:and written as 1323:Fortunate Isles 1287: 1283: 1282: 1277: 1273: 1272: 1267: 1263: 1262: 1261: 1257: 1256:); for example 1245: 1233: 1229: 1225: 1132: 1128: 1127: 1122: 1118: 1117: 1115: 1108: 1091: 1081: 1072: 1005:local alphabets 996: 887:Aegean numerals 867: 859:Arabic numerals 853:. For ordinary 843:ordinal numbers 808: 807: 806: 797:Without proper 782: 746: 745: 668: 654:Proto-cuneiform 599: 598: 587: 586: 581: 580: 565: 549: 531: 518: 505: 492: 421: 420: 408: 407: 388: 348: 333: 324: 323: 314: 313: 295: 254: 253: 244: 243: 195: 137: 123: 122: 110: 109: 97:Numeral systems 78: 72: 69: 62: 50:This article's 46: 35: 28: 23: 22: 18:Ionian numerals 15: 12: 11: 5: 9523: 9513: 9512: 9507: 9502: 9483: 9482: 9480: 9479: 9469: 9459: 9448: 9445: 9444: 9441: 9440: 9438: 9437: 9432: 9427: 9422: 9417: 9412: 9411: 9410: 9399: 9396: 9395: 9385: 9384: 9381: 9380: 9377: 9376: 9373: 9372: 9370: 9369: 9364: 9359: 9354: 9349: 9344: 9339: 9334: 9329: 9324: 9319: 9314: 9309: 9304: 9299: 9294: 9289: 9284: 9279: 9274: 9269: 9264: 9259: 9254: 9249: 9244: 9238: 9236: 9230: 9229: 9227: 9226: 9221: 9216: 9211: 9206: 9201: 9196: 9191: 9186: 9181: 9176: 9171: 9166: 9161: 9156: 9151: 9146: 9141: 9136: 9131: 9126: 9121: 9115: 9113: 9104: 9096: 9095: 9093: 9092: 9087: 9082: 9077: 9072: 9067: 9062: 9057: 9052: 9047: 9042: 9037: 9031: 9029: 9023: 9022: 9020: 9019: 9014: 9009: 9004: 8999: 8994: 8989: 8984: 8979: 8974: 8969: 8964: 8959: 8953: 8951: 8945: 8944: 8942: 8941: 8936: 8926: 8921: 8916: 8910: 8908: 8902: 8901: 8899: 8898: 8893: 8888: 8883: 8878: 8873: 8868: 8863: 8857: 8855: 8849: 8848: 8845: 8844: 8842: 8841: 8836: 8831: 8826: 8821: 8816: 8811: 8806: 8801: 8799:Megara Hyblaea 8796: 8791: 8786: 8781: 8779:Hybla Gereatis 8776: 8771: 8769:Heraclea Minoa 8766: 8761: 8756: 8751: 8746: 8741: 8736: 8731: 8726: 8721: 8715: 8713: 8707: 8706: 8704: 8703: 8698: 8693: 8688: 8683: 8678: 8673: 8668: 8663: 8658: 8653: 8648: 8643: 8638: 8633: 8628: 8623: 8618: 8613: 8608: 8603: 8598: 8593: 8588: 8583: 8578: 8573: 8567: 8565: 8556: 8546: 8545: 8542: 8541: 8535: 8527: 8526: 8523: 8522: 8519: 8518: 8516: 8515: 8513:Attic numerals 8510: 8508:Greek numerals 8505: 8503:Greek alphabet 8500: 8495: 8490: 8484: 8482: 8476: 8475: 8473: 8472: 8467: 8466: 8465: 8460: 8455: 8450: 8445: 8440: 8435: 8430: 8425: 8415: 8410: 8405: 8399: 8397: 8391: 8390: 8387: 8386: 8384: 8383: 8378: 8373: 8368: 8363: 8358: 8353: 8348: 8343: 8337: 8335: 8329: 8328: 8326: 8325: 8320: 8315: 8310: 8305: 8300: 8294: 8288: 8284: 8283: 8280: 8279: 8277: 8276: 8271: 8266: 8261: 8256: 8251: 8246: 8240: 8238: 8234: 8233: 8231: 8230: 8225: 8220: 8215: 8214: 8213: 8203: 8197: 8191: 8185: 8184: 8182: 8181: 8176: 8171: 8166: 8161: 8160: 8159: 8157:Musical system 8149: 8144: 8139: 8134: 8129: 8128: 8127: 8116: 8114: 8107: 8106: 8104: 8103: 8098: 8093: 8088: 8083: 8078: 8073: 8068: 8063: 8058: 8053: 8048: 8043: 8038: 8033: 8028: 8023: 8018: 8013: 8008: 8003: 7998: 7992: 7990: 7980: 7979: 7976: 7975: 7970: 7964: 7956: 7955: 7952: 7951: 7948: 7947: 7945: 7944: 7939: 7934: 7928: 7926: 7922: 7921: 7919: 7918: 7913: 7908: 7903: 7897: 7895: 7891: 7890: 7888: 7887: 7882: 7877: 7872: 7867: 7862: 7857: 7852: 7847: 7842: 7837: 7832: 7827: 7822: 7817: 7812: 7807: 7802: 7797: 7792: 7787: 7782: 7777: 7772: 7767: 7762: 7757: 7752: 7747: 7741: 7739: 7733: 7732: 7730: 7729: 7724: 7719: 7714: 7709: 7704: 7699: 7694: 7689: 7684: 7679: 7674: 7669: 7664: 7659: 7654: 7649: 7644: 7639: 7634: 7628: 7626: 7620: 7619: 7617: 7616: 7611: 7606: 7601: 7596: 7591: 7589:Mathematicians 7586: 7581: 7576: 7570: 7568: 7564: 7563: 7561: 7560: 7555: 7550: 7545: 7540: 7535: 7530: 7525: 7520: 7515: 7510: 7505: 7500: 7498:Kings of Argos 7494: 7492: 7486: 7485: 7473: 7472: 7460: 7459: 7456: 7455: 7452: 7451: 7449: 7448: 7443: 7438: 7433: 7428: 7423: 7418: 7413: 7408: 7403: 7398: 7393: 7388: 7383: 7378: 7373: 7368: 7363: 7358: 7356:Cretan archers 7353: 7348: 7343: 7338: 7337: 7336: 7326: 7320: 7318: 7312: 7311: 7308: 7307: 7305: 7304: 7299: 7293: 7291: 7285: 7284: 7282: 7281: 7276: 7271: 7265: 7263: 7257: 7256: 7254: 7253: 7248: 7243: 7238: 7233: 7228: 7222: 7220: 7214: 7213: 7211: 7210: 7205: 7200: 7195: 7190: 7185: 7180: 7174: 7168: 7162: 7161: 7159: 7158: 7155:Achaean League 7152: 7149:Euboean League 7146: 7140: 7137:Epirote League 7134: 7128: 7122: 7116: 7110: 7104: 7098: 7092: 7086: 7085:(c. 500–31 BC) 7080: 7067: 7054: 7048: 7035: 7017: 7015: 7013:Confederations 7004: 7003: 7001: 7000: 6995: 6990: 6985: 6980: 6975: 6970: 6965: 6960: 6955: 6949: 6947: 6943: 6942: 6940: 6939: 6937:Lissus (Crete) 6934: 6929: 6924: 6919: 6914: 6909: 6904: 6899: 6894: 6889: 6884: 6879: 6874: 6869: 6864: 6859: 6854: 6848: 6846: 6836: 6835: 6832: 6831: 6826: 6821: 6815: 6807: 6806: 6803: 6802: 6799: 6798: 6796: 6795: 6790: 6785: 6780: 6775: 6770: 6765: 6760: 6755: 6750: 6745: 6740: 6735: 6730: 6725: 6720: 6714: 6712: 6706: 6705: 6703: 6702: 6697: 6692: 6687: 6685:Archaic Greece 6682: 6677: 6672: 6667: 6661: 6659: 6651: 6650: 6647: 6646: 6641: 6635: 6627: 6626: 6624: 6623: 6617: 6614: 6613: 6610:Ancient Greece 6606: 6605: 6598: 6591: 6583: 6574: 6573: 6571: 6570: 6565: 6560: 6555: 6550: 6545: 6540: 6535: 6530: 6525: 6520: 6515: 6509: 6507: 6503: 6502: 6500: 6499: 6494: 6489: 6483: 6481: 6477: 6476: 6474: 6473: 6468: 6463: 6457: 6455: 6449: 6448: 6446: 6445: 6440: 6439: 6438: 6429: 6424: 6419: 6414: 6412:Greek numerals 6409: 6407:Attic numerals 6404: 6399: 6392:Greek alphabet 6389: 6384: 6378: 6376: 6372: 6371: 6369: 6368: 6363: 6358: 6352: 6350: 6346: 6345: 6343: 6342: 6337: 6332: 6317: 6315: 6311: 6310: 6307: 6306: 6304: 6303: 6298: 6293: 6288: 6283: 6278: 6273: 6268: 6267: 6266: 6261: 6251: 6249:Constantinople 6246: 6241: 6236: 6231: 6230: 6229: 6217: 6210: 6202: 6200: 6194: 6193: 6191: 6190: 6185: 6179: 6177: 6171: 6170: 6168: 6167: 6162: 6161: 6160: 6159: 6158: 6153: 6148: 6143: 6135: 6127: 6126: 6125: 6124: 6123: 6113: 6105: 6104: 6103: 6102: 6101: 6091: 6082: 6080: 6071: 6067: 6066: 6064: 6063: 6057: 6047:Medieval Greek 6044: 6031: 6018: 6005: 5991: 5989: 5983: 5982: 5980: 5979: 5974: 5969: 5964: 5959: 5953: 5951: 5947: 5946: 5943:Greek language 5939: 5938: 5931: 5924: 5916: 5907: 5906: 5879: 5876: 5875: 5872: 5871: 5869: 5868: 5863: 5858: 5853: 5848: 5843: 5838: 5832: 5830: 5829:Other cultures 5826: 5825: 5823: 5822: 5821: 5820: 5810: 5809: 5808: 5798: 5797: 5796: 5786: 5785: 5784: 5774: 5773: 5772: 5762: 5761: 5760: 5750: 5749: 5748: 5738: 5737: 5736: 5726: 5725: 5724: 5710: 5708: 5704: 5703: 5701: 5700: 5695: 5690: 5685: 5680: 5678:Greek numerals 5675: 5673:Attic numerals 5670: 5664: 5658: 5654: 5653: 5651: 5650: 5645: 5640: 5634: 5632: 5628: 5627: 5624: 5623: 5621: 5620: 5615: 5610: 5605: 5600: 5592: 5587: 5582: 5577: 5572: 5567: 5562: 5556: 5554: 5550: 5549: 5547: 5546: 5540: 5538: 5532: 5531: 5529: 5528: 5523: 5518: 5513: 5508: 5503: 5501:Law of cosines 5498: 5493: 5488: 5483: 5478: 5473: 5468: 5463: 5458: 5453: 5448: 5442: 5440: 5428: 5424: 5423: 5421: 5420: 5415: 5410: 5405: 5400: 5395: 5393:Platonic solid 5390: 5385: 5380: 5375: 5373:Greek numerals 5370: 5365: 5360: 5355: 5350: 5345: 5340: 5339: 5338: 5333: 5323: 5318: 5317: 5316: 5306: 5305: 5304: 5299: 5288: 5286: 5280: 5279: 5277: 5276: 5271: 5270: 5269: 5264: 5259: 5248: 5246: 5242: 5241: 5239: 5238: 5231: 5224: 5214: 5204: 5201:Planisphaerium 5197: 5190: 5183: 5176: 5166: 5156: 5146: 5136: 5129: 5122: 5112: 5102: 5095: 5085: 5078: 5073: 5065: 5063: 5059: 5058: 5056: 5055: 5050: 5045: 5040: 5035: 5030: 5025: 5020: 5015: 5010: 5005: 5000: 4995: 4990: 4985: 4980: 4975: 4970: 4965: 4960: 4955: 4950: 4945: 4940: 4935: 4930: 4925: 4920: 4915: 4910: 4905: 4900: 4895: 4890: 4885: 4880: 4875: 4870: 4865: 4860: 4855: 4850: 4845: 4840: 4835: 4830: 4825: 4820: 4815: 4810: 4805: 4800: 4795: 4790: 4785: 4780: 4775: 4770: 4765: 4760: 4755: 4750: 4745: 4740: 4735: 4730: 4725: 4720: 4715: 4710: 4705: 4700: 4695: 4690: 4685: 4679: 4677: 4671:Mathematicians 4667: 4666: 4659: 4658: 4651: 4644: 4636: 4630: 4629: 4622: 4621:External links 4619: 4617: 4616: 4591: 4572: 4565: 4540: 4529: 4518: 4504: 4477: 4456: 4445:on 10 May 2013 4429: 4396: 4355: 4340: 4295: 4280: 4266: 4239: 4208: 4206: 4203: 4202: 4201: 4198:Roman numerals 4195: 4189: 4184: 4179: 4173: 4168: 4159: 4153: 4147: 4137: 4131: 4125: 4122:Attic numerals 4119: 4111: 4108: 4105: 4104: 4100: 4096: 4090: 4089: 4086: 4083: 4077: 4076: 4073: 4070: 4064: 4063: 4060: 4057: 4051: 4050: 4047: 4044: 4040: 4039: 4036: 4032: 4031: 4028: 4004:lunar eclipses 3996:solar eclipses 3839: 3838: 3819: 3816: 3813: 3811: 3808: 3805: 3803: 3800: 3798: 3795: 3794: 3791: 3788: 3786: 3783: 3780: 3778: 3775: 3773: 3770: 3769: 3766: 3763: 3760: 3758: 3755: 3752: 3750: 3747: 3745: 3742: 3741: 3738: 3735: 3731: 3726: 3723: 3721: 3718: 3716: 3713: 3712: 3709: 3706: 3703: 3699: 3694: 3691: 3689: 3686: 3684: 3681: 3680: 3677: 3674: 3671: 3667: 3662: 3659: 3657: 3654: 3652: 3649: 3648: 3645: 3639: 3636: 3632: 3627: 3624: 3622: 3619: 3616: 3615: 3612: 3609: 3606: 3604: 3601: 3598: 3596: 3593: 3590: 3589: 3586: 3583: 3580: 3578: 3575: 3573: 3570: 3567: 3566: 3563: 3560: 3557: 3555: 3552: 3549: 3547: 3544: 3541: 3540: 3537: 3534: 3531: 3529: 3526: 3524: 3521: 3518: 3517: 3514: 3511: 3509: 3506: 3503: 3501: 3498: 3497: 3494: 3488: 3485: 3482: 3481: 3477: 3474: 3468: 3463: 3460: 3459: 3454: 3449: 3446: 3445: 3441: 3438: 3434: 3431: 3428: 3427: 3424: 3421: 3418: 3417: 3413: 3410: 3406: 3403: 3400: 3399: 3396: 3395: 3392: 3386: 3383: 3377: 3374: 3370: 3366: 3363: 3360: 3352: 3347: 3345: 3339: 3336: 3330: 3327: 3324: 3316: 3311: 3308: 3306: 3300: 3297: 3291: 3288: 3285: 3282: 3279: 3276: 3273: 3270: 3267: 3264: 3263: 3158: 3155: 3088: 3087:Higher numbers 3085: 3084: 3083: 3060:for 20,000 or 3043: 3033: 3032: 3027: 3022: 2968: 2961: 2953: 2945: 2937: 2929: 2927: 2922: 2917: 2890: 2883: 2875: 2873: 2868: 2865: 2862: 2854: 2853: 2848: 2845: 2842: 2835: 2833: 2828: 2825: 2822: 2815: 2813: 2808: 2805: 2802: 2795: 2792: 2791: 2786: 2783: 2780: 2773: 2771: 2766: 2763: 2760: 2753: 2751: 2746: 2743: 2740: 2733: 2730: 2729: 2724: 2721: 2718: 2711: 2709: 2704: 2701: 2698: 2691: 2689: 2684: 2677: 2650: 2643: 2635: 2632: 2631: 2626: 2623: 2620: 2613: 2611: 2606: 2603: 2600: 2593: 2591: 2586: 2583: 2580: 2573: 2570: 2569: 2564: 2561: 2558: 2551: 2549: 2544: 2541: 2538: 2531: 2529: 2524: 2521: 2513: 2506: 2503: 2502: 2497: 2494: 2491: 2484: 2482: 2477: 2474: 2471: 2464: 2462: 2457: 2454: 2446: 2439: 2436: 2435: 2430: 2427: 2424: 2417: 2415: 2410: 2407: 2404: 2397: 2395: 2390: 2387: 2384: 2377: 2374: 2373: 2368: 2365: 2362: 2355: 2353: 2348: 2345: 2342: 2335: 2333: 2328: 2325: 2322: 2308: 2307: 2302: 2297: 2248: 2217: 2212: 2207: 2182: 2169: 2164: 2157: 2154: 2146: 2145: 2140: 2133: 2130: 2123: 2118: 2111: 2108: 2101: 2096: 2089: 2086: 2078: 2077: 2072: 2065: 2062: 2055: 2050: 2043: 2040: 2033: 2028: 2021: 2018: 2010: 2009: 2004: 1997: 1994: 1987: 1982: 1979: 1976: 1969: 1964: 1953: 1928: 1914: 1913: 1908: 1901: 1898: 1891: 1886: 1879: 1876: 1869: 1864: 1857: 1854: 1846: 1845: 1840: 1833: 1830: 1823: 1818: 1811: 1808: 1801: 1796: 1789: 1786: 1778: 1777: 1772: 1769: 1766: 1759: 1754: 1747: 1744: 1737: 1732: 1725: 1722: 1714: 1713: 1708: 1701: 1698: 1691: 1686: 1679: 1676: 1669: 1664: 1657: 1654: 1646: 1645: 1640: 1633: 1630: 1623: 1618: 1611: 1608: 1601: 1596: 1589: 1586: 1578: 1577: 1574: 1571: 1568: 1565: 1562: 1559: 1556: 1553: 1550: 1547: 1544: 1535: 1532: 1508:Main article: 1505: 1502: 1331:Greek alphabet 1319:Prime Meridian 1216:well into the 1163:Ionic alphabet 1097:manuscript of 1080: 1077: 1036:abandoned its 923:Attic numerals 866: 863: 847:Roman numerals 835:Greek alphabet 811:Greek numerals 801:, you may see 789: 788: 787: 784: 783: 781: 780: 773: 766: 758: 755: 754: 748: 747: 744: 743: 738: 733: 728: 723: 718: 713: 708: 707: 706: 701: 696: 686: 681: 675: 674: 667: 666: 661: 656: 651: 646: 641: 636: 631: 626: 621: 616: 611: 605: 604: 603:Non-alphabetic 600: 594: 593: 592: 589: 588: 583: 582: 579: 578: 573: 560: 544: 539: 526: 513: 499: 498: 491: 490: 483: 478: 473: 468: 463: 458: 453: 448: 443: 438: 433: 427: 426: 422: 415: 414: 413: 410: 409: 406: 405: 399: 393: 392: 387: 386: 381: 376: 371: 366: 361: 355: 354: 352:Post-classical 347: 346: 340: 339: 332: 331: 325: 321: 320: 319: 316: 315: 312: 311: 306: 300: 299: 294: 293: 288: 283: 278: 273: 272: 271: 260: 259: 255: 251: 250: 249: 246: 245: 242: 241: 236: 231: 226: 221: 216: 211: 206: 201: 194: 193: 188: 183: 178: 173: 168: 163: 158: 153: 148: 143: 136: 135: 133:Eastern Arabic 130: 128:Western Arabic 124: 118: 117: 116: 111: 105: 104: 103: 100: 99: 93: 92: 80: 79: 59:the key points 49: 47: 40: 26: 9: 6: 4: 3: 2: 9522: 9511: 9508: 9506: 9503: 9501: 9498: 9497: 9495: 9488: 9478: 9470: 9468: 9464: 9460: 9458: 9450: 9449: 9446: 9436: 9433: 9431: 9428: 9426: 9423: 9421: 9418: 9416: 9413: 9409: 9406: 9405: 9404: 9401: 9400: 9397: 9390: 9386: 9368: 9365: 9363: 9360: 9358: 9355: 9353: 9350: 9348: 9345: 9343: 9340: 9338: 9335: 9333: 9330: 9328: 9325: 9323: 9320: 9318: 9315: 9313: 9310: 9308: 9305: 9303: 9300: 9298: 9295: 9293: 9290: 9288: 9285: 9283: 9280: 9278: 9275: 9273: 9270: 9268: 9265: 9263: 9260: 9258: 9255: 9253: 9250: 9248: 9245: 9243: 9240: 9239: 9237: 9231: 9225: 9222: 9220: 9217: 9215: 9212: 9210: 9207: 9205: 9202: 9200: 9197: 9195: 9192: 9190: 9187: 9185: 9182: 9180: 9177: 9175: 9172: 9170: 9167: 9165: 9162: 9160: 9157: 9155: 9152: 9150: 9147: 9145: 9142: 9140: 9137: 9135: 9132: 9130: 9127: 9125: 9122: 9120: 9117: 9116: 9114: 9108: 9105: 9101: 9097: 9091: 9088: 9086: 9083: 9081: 9078: 9076: 9073: 9071: 9068: 9066: 9063: 9061: 9058: 9056: 9053: 9051: 9048: 9046: 9043: 9041: 9038: 9036: 9033: 9032: 9030: 9028: 9024: 9018: 9015: 9013: 9010: 9008: 9005: 9003: 9000: 8998: 8995: 8993: 8990: 8988: 8985: 8983: 8980: 8978: 8977:Hemeroscopion 8975: 8973: 8970: 8968: 8965: 8963: 8960: 8958: 8955: 8954: 8952: 8950: 8946: 8940: 8937: 8934: 8930: 8927: 8925: 8922: 8920: 8917: 8915: 8912: 8911: 8909: 8907: 8903: 8897: 8894: 8892: 8889: 8887: 8884: 8882: 8879: 8877: 8874: 8872: 8869: 8867: 8864: 8862: 8859: 8858: 8856: 8854: 8850: 8840: 8837: 8835: 8832: 8830: 8827: 8825: 8822: 8820: 8817: 8815: 8812: 8810: 8807: 8805: 8802: 8800: 8797: 8795: 8792: 8790: 8787: 8785: 8782: 8780: 8777: 8775: 8772: 8770: 8767: 8765: 8762: 8760: 8757: 8755: 8752: 8750: 8747: 8745: 8742: 8740: 8737: 8735: 8732: 8730: 8727: 8725: 8722: 8720: 8717: 8716: 8714: 8712: 8708: 8702: 8699: 8697: 8694: 8692: 8689: 8687: 8684: 8682: 8679: 8677: 8674: 8672: 8669: 8667: 8664: 8662: 8659: 8657: 8654: 8652: 8649: 8647: 8644: 8642: 8639: 8637: 8634: 8632: 8629: 8627: 8624: 8622: 8619: 8617: 8614: 8612: 8609: 8607: 8604: 8602: 8599: 8597: 8594: 8592: 8589: 8587: 8584: 8582: 8579: 8577: 8574: 8572: 8569: 8568: 8566: 8560: 8557: 8555: 8554:Magna Graecia 8551: 8547: 8540: 8537: 8536: 8532: 8528: 8514: 8511: 8509: 8506: 8504: 8501: 8499: 8496: 8494: 8491: 8489: 8486: 8485: 8483: 8481: 8477: 8471: 8468: 8464: 8461: 8459: 8456: 8454: 8451: 8449: 8446: 8444: 8441: 8439: 8436: 8434: 8431: 8429: 8428:Arcadocypriot 8426: 8424: 8421: 8420: 8419: 8416: 8414: 8411: 8409: 8406: 8404: 8401: 8400: 8398: 8396: 8392: 8382: 8381:Zeus, Olympia 8379: 8377: 8374: 8372: 8369: 8367: 8366:Hera, Olympia 8364: 8362: 8359: 8357: 8354: 8352: 8349: 8347: 8344: 8342: 8339: 8338: 8336: 8334: 8330: 8324: 8321: 8319: 8316: 8314: 8311: 8309: 8306: 8304: 8301: 8299: 8296: 8295: 8292: 8289: 8285: 8275: 8272: 8270: 8269:Mount Olympus 8267: 8265: 8262: 8260: 8257: 8255: 8252: 8250: 8247: 8245: 8242: 8241: 8239: 8237:Sacred places 8235: 8229: 8226: 8224: 8221: 8219: 8216: 8212: 8209: 8208: 8207: 8204: 8202: 8199: 8198: 8195: 8192: 8190: 8186: 8180: 8177: 8175: 8172: 8170: 8167: 8165: 8162: 8158: 8155: 8154: 8153: 8150: 8148: 8145: 8143: 8140: 8138: 8135: 8133: 8130: 8126: 8123: 8122: 8121: 8118: 8117: 8115: 8112: 8108: 8102: 8099: 8097: 8094: 8092: 8089: 8087: 8084: 8082: 8079: 8077: 8074: 8072: 8069: 8067: 8064: 8062: 8061:Olympic Games 8059: 8057: 8054: 8052: 8051:Homosexuality 8049: 8047: 8044: 8042: 8039: 8037: 8034: 8032: 8029: 8027: 8024: 8022: 8019: 8017: 8014: 8012: 8009: 8007: 8004: 8002: 7999: 7997: 7994: 7993: 7991: 7989: 7985: 7981: 7974: 7971: 7969: 7966: 7965: 7961: 7957: 7943: 7940: 7938: 7935: 7933: 7930: 7929: 7927: 7923: 7917: 7914: 7912: 7909: 7907: 7904: 7902: 7899: 7898: 7896: 7892: 7886: 7883: 7881: 7878: 7876: 7873: 7871: 7868: 7866: 7863: 7861: 7858: 7856: 7853: 7851: 7848: 7846: 7843: 7841: 7838: 7836: 7833: 7831: 7828: 7826: 7823: 7821: 7818: 7816: 7813: 7811: 7808: 7806: 7803: 7801: 7798: 7796: 7793: 7791: 7788: 7786: 7783: 7781: 7778: 7776: 7773: 7771: 7768: 7766: 7763: 7761: 7758: 7756: 7753: 7751: 7748: 7746: 7743: 7742: 7740: 7738: 7734: 7728: 7725: 7723: 7720: 7718: 7715: 7713: 7710: 7708: 7705: 7703: 7700: 7698: 7695: 7693: 7690: 7688: 7685: 7683: 7680: 7678: 7675: 7673: 7670: 7668: 7665: 7663: 7660: 7658: 7655: 7653: 7650: 7648: 7645: 7643: 7640: 7638: 7635: 7633: 7630: 7629: 7627: 7625: 7621: 7615: 7612: 7610: 7607: 7605: 7602: 7600: 7597: 7595: 7592: 7590: 7587: 7585: 7582: 7580: 7577: 7575: 7572: 7571: 7569: 7565: 7559: 7556: 7554: 7551: 7549: 7546: 7544: 7541: 7539: 7536: 7534: 7531: 7529: 7526: 7524: 7521: 7519: 7516: 7514: 7511: 7509: 7506: 7504: 7501: 7499: 7496: 7495: 7493: 7491: 7487: 7483: 7478: 7474: 7470: 7465: 7461: 7447: 7444: 7442: 7439: 7437: 7434: 7432: 7429: 7427: 7424: 7422: 7421:Seleucid army 7419: 7417: 7414: 7412: 7409: 7407: 7404: 7402: 7399: 7397: 7394: 7392: 7389: 7387: 7384: 7382: 7379: 7377: 7374: 7372: 7369: 7367: 7364: 7362: 7359: 7357: 7354: 7352: 7349: 7347: 7344: 7342: 7339: 7335: 7332: 7331: 7330: 7327: 7325: 7322: 7321: 7319: 7317: 7313: 7303: 7300: 7298: 7295: 7294: 7292: 7290: 7286: 7280: 7277: 7275: 7272: 7270: 7267: 7266: 7264: 7262: 7258: 7252: 7249: 7247: 7244: 7242: 7239: 7237: 7234: 7232: 7229: 7227: 7224: 7223: 7221: 7219: 7215: 7209: 7206: 7204: 7201: 7199: 7196: 7194: 7191: 7189: 7186: 7184: 7181: 7179: 7176: 7175: 7172: 7169: 7167: 7163: 7156: 7153: 7150: 7147: 7144: 7141: 7138: 7135: 7132: 7129: 7126: 7123: 7120: 7117: 7114: 7111: 7108: 7105: 7102: 7099: 7096: 7095:Delian League 7093: 7090: 7087: 7084: 7081: 7071: 7068: 7058: 7055: 7052: 7051:Ionian League 7049: 7039: 7036: 7032: 560 BC 7022: 7019: 7018: 7016: 7014: 7009: 7005: 6999: 6996: 6994: 6991: 6989: 6986: 6984: 6981: 6979: 6976: 6974: 6971: 6969: 6966: 6964: 6961: 6959: 6956: 6954: 6951: 6950: 6948: 6944: 6938: 6935: 6933: 6930: 6928: 6925: 6923: 6920: 6918: 6915: 6913: 6910: 6908: 6905: 6903: 6900: 6898: 6895: 6893: 6890: 6888: 6885: 6883: 6880: 6878: 6875: 6873: 6870: 6868: 6865: 6863: 6860: 6858: 6855: 6853: 6850: 6849: 6847: 6845: 6841: 6837: 6830: 6827: 6825: 6822: 6820: 6817: 6816: 6812: 6808: 6794: 6791: 6789: 6786: 6784: 6781: 6779: 6776: 6774: 6773:Magna Graecia 6771: 6769: 6766: 6764: 6761: 6759: 6756: 6754: 6751: 6749: 6746: 6744: 6741: 6739: 6736: 6734: 6731: 6729: 6726: 6724: 6721: 6719: 6716: 6715: 6713: 6711: 6707: 6701: 6698: 6696: 6693: 6691: 6688: 6686: 6683: 6681: 6678: 6676: 6673: 6671: 6668: 6666: 6663: 6662: 6660: 6656: 6652: 6645: 6642: 6640: 6637: 6636: 6632: 6628: 6622: 6619: 6618: 6615: 6611: 6604: 6599: 6597: 6592: 6590: 6585: 6584: 6581: 6569: 6566: 6564: 6561: 6559: 6556: 6554: 6551: 6549: 6546: 6544: 6541: 6539: 6536: 6534: 6531: 6529: 6526: 6524: 6521: 6519: 6516: 6514: 6511: 6510: 6508: 6504: 6498: 6495: 6493: 6490: 6488: 6485: 6484: 6482: 6478: 6472: 6469: 6467: 6464: 6462: 6459: 6458: 6456: 6454: 6450: 6444: 6441: 6437: 6433: 6432:Cyrillization 6430: 6428: 6425: 6423: 6420: 6418: 6415: 6413: 6410: 6408: 6405: 6403: 6402:Archaic forms 6400: 6398: 6395: 6394: 6393: 6390: 6388: 6385: 6383: 6380: 6379: 6377: 6373: 6367: 6364: 6362: 6359: 6357: 6354: 6353: 6351: 6347: 6341: 6338: 6336: 6333: 6330: 6326: 6322: 6319: 6318: 6316: 6312: 6302: 6299: 6297: 6294: 6292: 6289: 6287: 6284: 6282: 6279: 6277: 6274: 6272: 6269: 6265: 6264:Griko/Apulian 6262: 6260: 6257: 6256: 6255: 6252: 6250: 6247: 6245: 6242: 6240: 6237: 6235: 6232: 6228: 6227: 6223: 6222: 6221: 6218: 6216: 6215: 6211: 6209: 6208: 6204: 6203: 6201: 6199: 6195: 6189: 6186: 6184: 6181: 6180: 6178: 6176: 6172: 6166: 6163: 6157: 6154: 6152: 6149: 6147: 6144: 6142: 6139: 6138: 6136: 6134: 6131: 6130: 6128: 6122: 6119: 6118: 6117: 6114: 6112: 6109: 6108: 6106: 6100: 6099:Arcadocypriot 6097: 6096: 6095: 6092: 6090: 6087: 6086: 6084: 6083: 6081: 6079: 6075: 6072: 6068: 6061: 6058: 6048: 6045: 6041: 300 BC 6035: 6032: 6022: 6021:Ancient Greek 6019: 6009: 6006: 5996: 5993: 5992: 5990: 5988: 5984: 5978: 5975: 5973: 5970: 5968: 5965: 5963: 5960: 5958: 5955: 5954: 5952: 5948: 5944: 5937: 5932: 5930: 5925: 5923: 5918: 5917: 5914: 5904: 5903: 5898: 5891: 5890: 5877: 5867: 5864: 5862: 5859: 5857: 5854: 5852: 5849: 5847: 5844: 5842: 5839: 5837: 5834: 5833: 5831: 5827: 5819: 5816: 5815: 5814: 5811: 5807: 5804: 5803: 5802: 5799: 5795: 5792: 5791: 5790: 5787: 5783: 5780: 5779: 5778: 5775: 5771: 5768: 5767: 5766: 5763: 5759: 5756: 5755: 5754: 5751: 5747: 5744: 5743: 5742: 5739: 5735: 5732: 5731: 5730: 5727: 5723: 5719: 5718: 5717: 5716: 5712: 5711: 5709: 5705: 5699: 5696: 5694: 5691: 5689: 5686: 5684: 5681: 5679: 5676: 5674: 5671: 5669: 5666: 5665: 5662: 5659: 5655: 5649: 5646: 5644: 5641: 5639: 5636: 5635: 5633: 5629: 5619: 5616: 5614: 5611: 5609: 5606: 5604: 5601: 5599: 5598: 5593: 5591: 5588: 5586: 5583: 5581: 5578: 5576: 5573: 5571: 5568: 5566: 5563: 5561: 5558: 5557: 5555: 5551: 5545: 5542: 5541: 5539: 5537: 5533: 5527: 5524: 5522: 5519: 5517: 5514: 5512: 5509: 5507: 5506:Pons asinorum 5504: 5502: 5499: 5497: 5494: 5492: 5489: 5487: 5484: 5482: 5479: 5477: 5476:Hinge theorem 5474: 5472: 5469: 5467: 5464: 5462: 5459: 5457: 5454: 5452: 5449: 5447: 5444: 5443: 5441: 5439: 5438: 5432: 5429: 5425: 5419: 5416: 5414: 5411: 5409: 5406: 5404: 5401: 5399: 5396: 5394: 5391: 5389: 5386: 5384: 5381: 5379: 5376: 5374: 5371: 5369: 5366: 5364: 5361: 5359: 5356: 5354: 5351: 5349: 5346: 5344: 5341: 5337: 5334: 5332: 5329: 5328: 5327: 5324: 5322: 5319: 5315: 5312: 5311: 5310: 5307: 5303: 5300: 5298: 5295: 5294: 5293: 5290: 5289: 5287: 5281: 5275: 5272: 5268: 5265: 5263: 5260: 5258: 5255: 5254: 5253: 5250: 5249: 5247: 5243: 5237: 5236: 5232: 5230: 5229: 5225: 5223: 5219: 5215: 5213: 5209: 5205: 5203: 5202: 5198: 5196: 5195: 5191: 5189: 5188: 5184: 5182: 5181: 5177: 5175: 5171: 5167: 5165: 5161: 5157: 5155: 5151: 5147: 5145: 5143:(Aristarchus) 5141: 5137: 5135: 5134: 5130: 5128: 5127: 5123: 5121: 5117: 5113: 5111: 5107: 5103: 5101: 5100: 5096: 5094: 5090: 5086: 5084: 5083: 5079: 5077: 5074: 5072: 5071: 5067: 5066: 5064: 5060: 5054: 5051: 5049: 5048:Zeno of Sidon 5046: 5044: 5041: 5039: 5036: 5034: 5031: 5029: 5026: 5024: 5021: 5019: 5016: 5014: 5011: 5009: 5006: 5004: 5001: 4999: 4996: 4994: 4991: 4989: 4986: 4984: 4981: 4979: 4976: 4974: 4971: 4969: 4966: 4964: 4961: 4959: 4956: 4954: 4951: 4949: 4946: 4944: 4941: 4939: 4936: 4934: 4931: 4929: 4926: 4924: 4921: 4919: 4916: 4914: 4911: 4909: 4906: 4904: 4901: 4899: 4896: 4894: 4891: 4889: 4886: 4884: 4881: 4879: 4876: 4874: 4871: 4869: 4866: 4864: 4861: 4859: 4856: 4854: 4851: 4849: 4846: 4844: 4841: 4839: 4836: 4834: 4831: 4829: 4826: 4824: 4821: 4819: 4816: 4814: 4811: 4809: 4806: 4804: 4801: 4799: 4796: 4794: 4791: 4789: 4786: 4784: 4781: 4779: 4776: 4774: 4771: 4769: 4766: 4764: 4761: 4759: 4756: 4754: 4751: 4749: 4746: 4744: 4741: 4739: 4736: 4734: 4731: 4729: 4726: 4724: 4721: 4719: 4716: 4714: 4711: 4709: 4706: 4704: 4701: 4699: 4696: 4694: 4691: 4689: 4686: 4684: 4681: 4680: 4678: 4676: 4672: 4668: 4664: 4657: 4652: 4650: 4645: 4643: 4638: 4637: 4634: 4628: 4625: 4624: 4612: 4608: 4607: 4601: 4595: 4583: 4576: 4568: 4562: 4558: 4554: 4550: 4544: 4538: 4533: 4527: 4522: 4516: 4511: 4509: 4492: 4488: 4481: 4474: 4470: 4466: 4460: 4444: 4440: 4433: 4418: 4414: 4410: 4406: 4405:"IG II² 2776" 4400: 4381: 4380:also known as 4377: 4373: 4369: 4365: 4359: 4351: 4344: 4325: 4324:also known as 4317: 4313: 4309: 4305: 4299: 4291: 4284: 4269: 4267:9780486154442 4263: 4259: 4255: 4254: 4246: 4244: 4227: 4223: 4216: 4214: 4209: 4199: 4196: 4193: 4190: 4188: 4185: 4183: 4180: 4177: 4174: 4172: 4169: 4163: 4160: 4157: 4154: 4151: 4148: 4141: 4138: 4135: 4132: 4129: 4126: 4123: 4120: 4117: 4114: 4113: 4102:𐆊 4101: 4097: 4095: 4092: 4091: 4087: 4084: 4082: 4079: 4078: 4074: 4071: 4069: 4066: 4065: 4061: 4058: 4056: 4053: 4052: 4048: 4045: 4042: 4041: 4035:Unicode name 4034: 4033: 4025: 4019: 4017: 4013: 4005: 4001: 3997: 3993: 3989: 3984: 3982: 3978: 3970: 3966: 3962: 3958: 3953: 3949: 3944: 3942: 3817: 3814: 3809: 3806: 3801: 3796: 3789: 3784: 3781: 3776: 3771: 3764: 3761: 3756: 3753: 3748: 3743: 3736: 3729: 3724: 3719: 3714: 3707: 3704: 3697: 3692: 3687: 3682: 3675: 3672: 3665: 3660: 3655: 3650: 3637: 3630: 3625: 3620: 3617: 3610: 3607: 3602: 3599: 3594: 3591: 3584: 3581: 3576: 3571: 3568: 3561: 3558: 3553: 3550: 3545: 3542: 3535: 3532: 3527: 3522: 3519: 3512: 3507: 3504: 3499: 3486: 3483: 3475: 3466: 3461: 3452: 3447: 3439: 3432: 3429: 3422: 3419: 3411: 3404: 3401: 3390: 3381: 3375: 3372: 3364: 3361: 3358: 3350: 3343: 3334: 3328: 3325: 3322: 3314: 3309: 3304: 3295: 3289: 3286: 3283: 3280: 3277: 3274: 3271: 3268: 3265: 3254: 3253: 3252: 3250: 3245: 3243: 3239: 3228: 3217: 3206: 3201: 140 BC 3196: 3192: 3188: 3184: 3181: 3178: 3174: 3171: 3163: 3154: 3119: 3115: 3112:reports that 3111: 3107: 3105: 3100: 3096: 3095: 3048: 3044: 3041: 3037: 3036: 3031: 3028: 3023: 3020: 3013: 3007: 3000: 2994: 2987: 2980: 2974: 2969: 2965: 2957: 2949: 2941: 2933: 2928: 2926: 2923: 2918: 2915: 2909: 2902: 2896: 2891: 2887: 2879: 2874: 2872: 2869: 2866: 2863: 2860: 2856: 2855: 2852: 2849: 2846: 2843: 2839: 2834: 2832: 2829: 2826: 2823: 2819: 2814: 2812: 2809: 2806: 2803: 2799: 2794: 2793: 2790: 2787: 2784: 2781: 2777: 2772: 2770: 2767: 2764: 2761: 2757: 2752: 2750: 2747: 2744: 2741: 2737: 2732: 2731: 2728: 2725: 2722: 2719: 2715: 2710: 2708: 2705: 2702: 2699: 2695: 2690: 2688: 2685: 2678: 2675: 2669: 2662: 2656: 2651: 2647: 2639: 2634: 2633: 2630: 2627: 2624: 2621: 2617: 2612: 2610: 2607: 2604: 2601: 2597: 2592: 2590: 2587: 2584: 2581: 2577: 2572: 2571: 2568: 2565: 2562: 2559: 2555: 2550: 2548: 2545: 2542: 2539: 2535: 2530: 2528: 2525: 2522: 2519: 2514: 2510: 2505: 2504: 2501: 2498: 2495: 2492: 2488: 2483: 2481: 2478: 2475: 2472: 2468: 2463: 2461: 2458: 2455: 2452: 2447: 2443: 2438: 2437: 2434: 2431: 2428: 2425: 2421: 2416: 2414: 2411: 2408: 2405: 2401: 2396: 2394: 2391: 2388: 2385: 2381: 2376: 2375: 2372: 2369: 2366: 2363: 2359: 2354: 2352: 2349: 2346: 2343: 2339: 2334: 2332: 2329: 2326: 2323: 2320: 2314: 2310: 2309: 2306: 2303: 2298: 2295: 2289: 2283: 2277: 2271: 2265: 2259: 2253: 2249: 2246: 2240: 2234: 2228: 2222: 2218: 2216: 2213: 2208: 2205: 2199: 2193: 2187: 2183: 2180: 2174: 2170: 2168: 2165: 2158: 2155: 2152: 2148: 2147: 2144: 2141: 2134: 2131: 2128: 2124: 2122: 2119: 2112: 2109: 2106: 2102: 2100: 2097: 2090: 2087: 2084: 2080: 2079: 2076: 2073: 2066: 2063: 2060: 2056: 2054: 2051: 2044: 2041: 2038: 2034: 2032: 2029: 2022: 2019: 2016: 2012: 2011: 2008: 2005: 1998: 1995: 1992: 1988: 1986: 1983: 1980: 1977: 1974: 1970: 1968: 1965: 1954: 1951: 1945: 1939: 1933: 1929: 1926: 1920: 1916: 1915: 1912: 1909: 1902: 1899: 1896: 1892: 1890: 1887: 1880: 1877: 1874: 1870: 1868: 1865: 1858: 1855: 1852: 1848: 1847: 1844: 1841: 1834: 1831: 1828: 1824: 1822: 1819: 1812: 1809: 1806: 1802: 1800: 1797: 1790: 1787: 1784: 1780: 1779: 1776: 1773: 1770: 1767: 1764: 1760: 1758: 1755: 1748: 1745: 1742: 1738: 1736: 1733: 1726: 1723: 1720: 1716: 1715: 1712: 1709: 1702: 1699: 1696: 1692: 1690: 1687: 1680: 1677: 1674: 1670: 1668: 1665: 1658: 1655: 1652: 1648: 1647: 1644: 1641: 1634: 1631: 1628: 1624: 1622: 1619: 1612: 1609: 1606: 1602: 1600: 1597: 1590: 1587: 1584: 1580: 1579: 1575: 1572: 1569: 1566: 1563: 1560: 1557: 1554: 1551: 1548: 1545: 1542: 1541: 1538: 1531: 1529: 1525: 1524: 1519: 1518: 1511: 1501: 1499: 1494: 1488: 1478: 1474: 1470: 1466: 1462: 1458: 1444: 1443: 1438: 1433: 1430: 1424: 1419: 1416: 1413: 1409: 1404: 1398: 1393: 1389: 1388:Byzantine era 1384: 1378: 1372: 1366: 1360: 1355: 1352: 1348: 1344: 1340: 1336: 1332: 1329:Although the 1324: 1320: 1316: 1312: 1308: 1307: 1302: 1297: 1293: 1255: 1251: 1243: 1239: 1223: 1219: 1215: 1210: 1205: 1200: 1195: 1190: 1188: 1184: 1180: 1176: 1172: 1168: 1164: 1160: 1152: 1149:(ϛ) in their 1148: 1144: 1140: 1104: 1100: 1096: 1085: 1076: 1067: 1063: 1059: 1055: 1051: 1047: 1043: 1040:in favour of 1039: 1035: 1031: 1027: 1023: 1018: 1016: 1011: 1006: 1002: 993: 987: 981: 975: 969: 963: 957: 951: 945: 939: 933: 928: 924: 920: 888: 884: 880: 876: 872: 862: 860: 856: 852: 851:Western world 848: 844: 840: 836: 832: 828: 824: 820: 816: 812: 804: 800: 796: 794: 779: 774: 772: 767: 765: 760: 759: 757: 756: 753: 750: 749: 742: 739: 737: 734: 732: 729: 727: 724: 722: 719: 717: 714: 712: 709: 705: 702: 700: 697: 695: 692: 691: 690: 689:Alphasyllabic 687: 685: 682: 680: 677: 676: 673: 670: 669: 665: 662: 660: 657: 655: 652: 650: 647: 645: 642: 640: 637: 635: 632: 630: 627: 625: 622: 620: 617: 615: 612: 610: 607: 606: 602: 601: 597: 591: 590: 577: 574: 571: 564: 561: 558: 557: 548: 545: 543: 540: 537: 530: 527: 524: 517: 514: 511: 504: 501: 500: 497: 494: 493: 488: 484: 482: 479: 477: 474: 472: 469: 467: 464: 462: 459: 457: 454: 452: 449: 447: 444: 442: 439: 437: 434: 432: 429: 428: 424: 423: 419: 412: 411: 403: 400: 398: 395: 394: 390: 389: 385: 382: 380: 377: 375: 372: 370: 367: 365: 362: 360: 357: 356: 353: 350: 349: 345: 342: 341: 338: 335: 334: 330: 327: 326: 322:Other systems 318: 317: 310: 307: 305: 304:Counting rods 302: 301: 297: 296: 292: 289: 287: 284: 282: 279: 277: 274: 270: 267: 266: 265: 262: 261: 257: 256: 248: 247: 240: 237: 235: 232: 230: 227: 225: 222: 220: 217: 215: 212: 210: 207: 205: 202: 200: 197: 196: 192: 189: 187: 184: 182: 179: 177: 174: 172: 169: 167: 164: 162: 159: 157: 154: 152: 149: 147: 144: 142: 139: 138: 134: 131: 129: 126: 125: 121: 115: 114: 108: 102: 101: 98: 95: 94: 90: 86: 85: 76: 66: 60: 58: 53: 48: 44: 39: 38: 33: 19: 9487: 9272:Dionysopolis 9242:Abonoteichos 9194:Pantikapaion 8784:Hybla Heraea 8507: 8120:Architecture 8076:Prostitution 7765:Aristophanes 7624:Philosophers 7594:Philosophers 7426:Spartan army 7157:(280–146 BC) 7145:(338–322 BC) 7139:(370–168 BC) 7127:(374–196 BC) 7121:(378–355 BC) 7103:(430–348 BC) 7097:(478–404 BC) 7091:(499–449 BC) 6778:Peloponnesus 6700:Roman Greece 6436:Romanization 6411: 6286:Romano-Greek 6276:Mariupolitan 6224: 6214:Katharevousa 6212: 6205: 6062:(since 1453) 6060:Modern Greek 5957:Graeco-Aryan 5893: 5880: 5722:Thomas Heath 5713: 5677: 5596: 5580:Law of sines 5436: 5372: 5368:Golden ratio 5233: 5226: 5217: 5211:(Theodosius) 5207: 5199: 5192: 5185: 5178: 5169: 5159: 5153:(Hipparchus) 5149: 5139: 5131: 5124: 5115: 5105: 5097: 5092:(Apollonius) 5088: 5080: 5068: 5043:Zeno of Elea 4803:Eratosthenes 4793:Dionysodorus 4611:Toomer, G.J. 4603: 4594: 4575: 4552: 4543: 4532: 4521: 4495:. Retrieved 4491:the original 4480: 4464: 4459: 4447:. Retrieved 4443:the original 4432: 4420:. Retrieved 4408: 4399: 4387:. Retrieved 4379: 4367: 4358: 4349: 4343: 4331:. Retrieved 4323: 4307: 4304:"IG I³ 1387" 4298: 4289: 4283: 4271:. Retrieved 4252: 4230:. Retrieved 4226:the original 4098:𐆊 4075:F0 90 86 8A 4015: 4011: 3985: 3976: 3968: 3964: 3956: 3945: 3883:  80 + 3840: 3246: 3168: 3131:was 10,000, 3108: 3092: 3091:In his text 3090: 1537: 1521: 1515: 1513: 1497: 1495: 1486: 1461:acute accent 1456: 1441: 1440: 1437:modern Greek 1434: 1328: 1305: 1249: 1218:Roman period 1191: 1156: 1102: 1019: 921: 868: 837:. 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By the 1345:show that 1260:indicated 1214:Asia Minor 1050:Phoenician 927:acrophonic 731:Glagolitic 704:Kaṭapayādi 672:Alphabetic 576:Asymmetric 418:radix/base 359:Cistercian 344:Babylonian 291:Vietnamese 146:Devanagari 73:March 2024 9408:in Epirus 9357:Trapezous 9302:Mesambria 9287:Eupatoria 9257:Apollonia 9252:Anchialos 9214:Theodosia 9184:Nymphaion 9174:Myrmekion 9144:Gorgippia 9100:Black Sea 9085:Tragurion 9070:Nymphaion 9055:Epidauros 9050:Epidamnos 9040:Apollonia 9017:Zacynthos 8939:Ptolemais 8933:Apollonia 8906:Cyrenaica 8896:Therassía 8891:Strongyle 8871:Ereikousa 8794:Leontinoi 8734:Apollonia 8611:Hipponion 8408:Mycenaean 8371:Parthenon 8303:Lion Gate 8206:Mythology 8169:Sculpture 8132:Astronomy 8066:Pederasty 8041:Festivals 8026:Education 7906:Lawgivers 7875:Timocreon 7855:Sophocles 7850:Simonides 7825:Philocles 7820:Panyassis 7815:Mimnermus 7780:Herodotus 7775:Euripides 7745:Aeschylus 7692:Leucippus 7652:Aristotle 7431:Strategos 7297:Synedrion 7251:Ostracism 7231:Areopagus 7183:Free city 6978:Macedonia 6862:Byzantion 6768:Macedonia 6733:Cyrenaica 6710:Geography 6644:Geography 6466:Byzantine 6443:Greeklish 6314:Phonology 6291:Tsakonian 6244:Himariote 6094:Mycenaean 6070:Varieties 6017:–1100 BC) 6004:–1600 BC) 5302:Inscribed 5062:Treatises 5053:Zenodorus 5013:Theodorus 4988:Sosigenes 4933:Philolaus 4918:Oenopides 4913:Nicoteles 4908:Nicomedes 4868:Hypsicles 4763:Ctesibius 4753:Cleomedes 4738:Callippus 4723:Autolycus 4708:Aristotle 4688:Anthemius 4551:(1969) . 4328:IG I² 760 4176:Isopsephy 4043:Encodings 3961:Byzantine 3934:ἐξηκοστῶν 3818:ϑ 3815:κ 3810:ε 3807:μ 3802:∘ 3797:∘ 3790:μ 3785:ε 3782:μ 3777:∘ 3772:∘ 3765:β 3762:ν 3757:ε 3754:μ 3749:∘ 3744:∘ 3737:γ 3725:μ 3720:∘ 3715:∘ 3708:δ 3705:ι 3693:μ 3688:∘ 3683:∘ 3676:ε 3673:κ 3661:μ 3656:∘ 3651:∘ 3638:ϑ 3626:λ 3621:β 3618:π 3611:ϑ 3608:ι 3603:γ 3600:ι 3595:β 3592:π 3585:δ 3582:κ 3577:ν 3572:α 3569:π 3562:β 3559:κ 3554:ζ 3551:κ 3546:α 3543:π 3536:ε 3533:ι 3528:δ 3523:α 3520:π 3513:γ 3508:α 3505:μ 3500:π 3487:ζ 3484:π 3473:∠ 3462:π 3448:π 3437:∠ 3433:ε 3430:π 3423:ε 3420:π 3409:∠ 3405:δ 3402:π 3391:ν 3385:~ 3382:ω 3376:τ 3373:σ 3365:κ 3362:η 3359:ξ 3351:ε 3344:ν 3338:~ 3335:ω 3329:ι 3326:ε 3323:ϑ 3315:υ 3310:ε 3305:ν 3299:~ 3296:ω 3290:ι 3287:ε 3284:ϱ 3281:ε 3278:φ 3275:ι 3272:ϱ 3269:ε 3266:π 1570:Byzantine 1558:Byzantine 1546:Byzantine 1517:isopsephy 1510:Isopsephy 1504:Isopsephy 1463:(´), the 1354:minuscule 1335:majuscule 1311:graticule 1306:Geography 1151:minuscule 1145:(ϟ), and 1114:", i.e. " 1095:Byzantine 1046:Eucleides 699:Āryabhaṭa 644:Kharosthi 536:factorial 503:Bijective 404:(Iñupiaq) 234:Sundanese 229:Mongolian 176:Malayalam 57:summarize 9505:Numerals 9457:Category 9435:Theatres 9362:Tripolis 9297:Kerasous 9292:Heraclea 9224:Tyritake 9179:Nikonion 9090:Thronion 9012:Salauris 8967:Emporion 8924:Berenice 8914:Balagrae 8866:Euonymos 8839:Tyndaris 8824:Syracuse 8819:Selinous 8789:Kamarina 8744:Casmenae 8729:Akrillai 8646:Neápolis 8581:Caulonia 8562:Mainland 8493:Linear B 8488:Linear A 8418:Dialects 8395:Language 8189:Religion 8147:Medicine 8081:Religion 8046:Folklore 8031:Emporium 8006:Clothing 8001:Calendar 7885:Xenophon 7880:Tyrtaeus 7865:Theognis 7840:Polybius 7835:Plutarch 7810:Menander 7790:Hipponax 7717:Socrates 7672:Epicurus 7518:Diadochi 7416:Sciritae 7376:Hetairoi 7351:Ballista 7316:Military 7279:Gerousia 7269:Ekklesia 7236:Ecclesia 7218:Athenian 7166:Politics 7079:–279 BC) 7066:–366 BC) 7047:–389 BC) 6983:Pergamon 6953:Bithynia 6946:Kingdoms 6887:Pergamon 6829:Military 6824:Politics 6621:Timeline 6548:Proverbs 6387:Linear B 6329:teaching 6085:Central 6043:–AD 330) 6030:–300 BC) 5866:Japanese 5851:Egyptian 5794:timeline 5782:timeline 5770:timeline 5765:geometry 5758:timeline 5753:calculus 5746:timeline 5734:timeline 5437:Elements 5283:Concepts 5245:Problems 5218:Spherics 5208:Spherics 5173:(Euclid) 5119:(Euclid) 5116:Elements 5109:(Euclid) 5070:Almagest 4978:Serenus 4953:Porphyry 4893:Menelaus 4848:Hippasus 4823:Eutocius 4798:Domninus 4693:Archytas 4606:Almagest 4449:29 April 4110:See also 4062:U+1018A 3476:′ 3440:′ 3412:′ 1523:gematria 1415:ligature 1392:episemon 1222:overbars 1116:9,996 + 883:Linear B 879:Linear A 823:Milesian 726:Georgian 716:Cyrillic 684:Armenian 639:Etruscan 634:Egyptian 542:Negative 402:Kaktovik 397:Cherokee 374:Pentadic 298:Historic 281:Japanese 214:Javanese 204:Balinese 191:Dzongkha 156:Gurmukhi 151:Gujarati 89:a series 87:Part of 9477:Outline 9430:Temples 9367:Zaliche 9347:Thèrmae 9337:Sesamus 9307:Odessos 9282:Cytorus 9277:Cotyora 9027:Illyria 8992:Mainake 8987:Kypsela 8876:Hycesia 8834:Thermae 8814:Segesta 8804:Messana 8759:Helorus 8739:Calacte 8719:Akragas 8681:Sybaris 8666:Rhegion 8621:Krimisa 8571:Alision 8480:Writing 8453:Locrian 8443:Epirote 8413:Homeric 8346:Artemis 8333:Temples 8274:Olympia 8244:Eleusis 8179:Theatre 8164:Pottery 8091:Warfare 8086:Slavery 8021:Economy 8016:Cuisine 8011:Coinage 7988:Society 7973:Culture 7968:Society 7916:Tyrants 7755:Alcaeus 7737:Authors 7687:Hypatia 7677:Gorgias 7614:Writers 7436:Toxotai 7406:Sarissa 7396:Peltast 7391:Phalanx 7371:Hoplite 7366:Hippeis 7289:Macedon 7261:Spartan 7246:Heliaia 7193:Proxeny 6902:Larissa 6897:Kerkyra 6892:Eretria 6882:Miletus 6877:Ephesus 6872:Corinth 6867:Chalcis 6788:Taurica 6658:Periods 6639:History 6528:Exonyms 6461:Ancient 6427:Braille 6397:History 6356:Ancient 6349:Grammar 6321:Ancient 6296:Yevanic 6254:Italiot 6239:Cypriot 6207:Demotic 6151:Locrian 6146:Epirote 6141:Achaean 6121:Homeric 6078:Ancient 5987:Periods 5846:Chinese 5801:numbers 5729:algebra 5657:Related 5631:Centers 5427:Results 5297:Central 4968:Ptolemy 4963:Proclus 4928:Perseus 4883:Marinus 4863:Hypatia 4853:Hippias 4828:Geminus 4818:Eudoxus 4808:Eudemus 4778:Diocles 4497:2 March 4473:Mineola 4322:  4232:2 March 4055:Unicode 4046:decimal 4027:Preview 4008:ο | ο ο 3925:⁄ 3913:⁠ 3901:⁠ 3897:⁠ 3885:⁠ 3872:⁄ 3854:εὐθειῶν 3730:ϛ 3698:ϛ 3666:ϛ 3631:ϛ 3467:ϛ 3453:ϛ 3238:omicron 3227:Hypatia 3205:Ptolemy 3078:Μ  1567:Ancient 1555:Ancient 1543:Ancient 1469:Unicode 1351:cursive 1339:papyrus 1321:at the 1315:equator 1301:Ptolemy 1286:⁄ 1276:⁄ 1266:⁄ 1159:decimal 1131:⁄ 1121:⁄ 1103:Metrika 1054:digamma 1042:Miletus 1022:Miletus 1015:Boeotia 865:History 829:, is a 629:Chuvash 547:Complex 337:Ancient 329:History 276:Hokkien 264:Chinese 209:Burmese 199:Tibetan 186:Kannada 166:Sinhala 141:Bengali 9467:Portal 9415:People 9403:Cities 9342:Sinope 9327:Rhizos 9317:Phasis 9267:Bathus 9262:Athina 9247:Amisos 9209:Tanais 9204:Pityus 9129:Charax 9080:Pharos 9075:Orikon 8972:Helike 8962:Alonis 8929:Cyrene 8861:Didyme 8774:Himera 8749:Catana 8711:Sicily 8701:Thurii 8696:Terina 8661:Pixous 8616:Hydrus 8591:Croton 8423:Aeolic 8341:Aphaea 8264:Dodona 8249:Delphi 8218:Temple 7894:Others 7845:Sappho 7830:Pindar 7805:Lucian 7800:Ibycus 7785:Hesiod 7722:Thales 7490:Rulers 7469:People 7446:Xyston 7441:Xiphos 7302:Koinon 7208:Tyrant 7198:Stasis 7188:Koinon 6988:Pontus 6963:Epirus 6932:Sparta 6922:Rhodes 6917:Megara 6912:Thebes 6857:Athens 6783:Pontus 6748:Epirus 6738:Cyprus 6723:Aeolis 6471:Modern 6325:accent 6281:Pontic 6271:Maniot 6234:Cretan 6198:Modern 6089:Aeolic 6056:–1453) 5861:Indian 5638:Cyrene 5170:Optics 5089:Conics 5008:Theano 4998:Thales 4993:Sporus 4938:Philon 4923:Pappus 4813:Euclid 4743:Carpus 4733:Bryson 4563:  4415:& 4382:  4374:& 4326:  4314:& 4264:  4081:UTF-16 4012:digits 3952:papyri 3242:ο 3118:powers 3047:myriad 3030:900000 2851:800000 2789:700000 2727:600000 2629:500000 2567:400000 2500:300000 2433:200000 2371:100000 1576:Value 1573:Modern 1561:Modern 1549:Modern 1498:keraia 1487:keraia 1457:keraia 1448:κεραία 1442:keraia 1418:stigma 1347:uncial 1250:keraia 1240:, the 1153:forms. 1147:stigma 1060:, and 1034:Athens 1001:Attica 989:, and 871:Minoan 839:Greece 819:Ionian 741:Hebrew 711:Coptic 624:Brahmi 609:Aegean 566:  550:  532:  519:  506:  369:Muisca 309:Tangut 286:Korean 269:Suzhou 181:Telugu 9425:Stoae 9393:Lists 9312:Oinòe 9235:coast 9233:South 9219:Tyras 9189:Olbia 9159:Kepoi 9112:coast 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Index

Ionian numerals
Acute accent

lead section
summarize
provide an accessible overview
a series
Numeral systems
Place-value notation
Hindu–Arabic numerals
Western Arabic
Eastern Arabic
Bengali
Devanagari
Gujarati
Gurmukhi
Odia
Sinhala
Tamil
Malayalam
Telugu
Kannada
Dzongkha
Tibetan
Balinese
Burmese
Javanese
Khmer
Lao
Mongolian

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