Knowledge

Gradian

Source 📝

61: 2076: 1070:
One advantage of this unit is that right angles to a given angle are easily determined. If one is sighting down a compass course of 117 gon, the direction to one's left is 17 gon, to one's right 217 gon, and behind one 317 gon. A disadvantage is that the common angles of 30° and
2155:
The gon (or grad, where grad is an alternative name for the gon) is an alternative unit of plane angle to the degree, defined as (π/200) rad. Thus there are 100 gon in a right angle. The potential value of the gon in navigation is that because the distance from the pole to the equator of
717:
is sometimes used, as in "dgon", "cgon", "mgon", denoting respectively 0.1 gon, 0.01 gon, 0.001 gon. Centesimal arc-minutes and centesimal arc-seconds were also denoted with superscripts and , respectively.
2790:
Landslides: Evaluation & Stabilization/Glissement de Terrain: Evaluation et Stabilisation, Set of 2 Volumes: Proceedings of the Ninth International Symposium on Landslides, June 28 -July 2, 2004 Rio de Janeiro,
2754:
International Mining Forum 2006, New Technological Solutions in Underground Mining: Proceedings of the 7th International Mining Forum, Cracow - Szczyrk - Wieliczka, Poland, February 2006
2530: 2992: 2336: 2309: 2507:"Bestimmung des Gesetzes, nach welchem Metalle die Contactelektricität leiten, nebst einem Entwurfe zur Theorie des Voltaischen Apparates und des Schweiggerschen Multiplikators" 2855: 2554: 1004:
Each quadrant is assigned a range of 100 gon, which eases recognition of the four quadrants, as well as arithmetic involving perpendicular or opposite angles.
2317: 3009: 2785: 2645:
Frasier argues for using grads instead of radians as a standard unit of angle, but for renaming grads to "radials" instead of renaming the temperature scale.
2144: 2506: 2140: 2136: 2673:
The term "Celsius" was adopted instead of the more familiar "centigrade" because in France the word centigrade has customarily been applied to angles.
2663:, NBS Technical Note 915, U.S. Department of Commerce, National Bureau of Commerce, Institute for Applied Technology, Center for Building Technology, 713:). Other symbols used in the past include "gr", "grd", and "g", the last sometimes written as a superscript, similarly to a degree sign: 50 = 45°. A 2689: 3032: 2910: 2834: 2798: 2594: 2564: 2459: 2115:
along the Earth's surface of approximately 100 kilometres; 1 centigon to 1 kilometre; 10 microgons to 1 metre. (The
2321: 2876: 2826: 2988: 2345: 2476: 565:
Although attempts at a general introduction were made, the unit was only adopted in some countries, and for specialised areas such as
2164:, 1 km on the surface of the Earth subtends an angle of one centigon at the centre of the Earth. However the gon is rarely used. 3026: 2970: 2940: 2765: 2729: 2699: 2486: 2864:
On the approximation of the laws of the Member States relating to units of measurement and on the repeal of Directive 71/354/EEC.
2859: 2428: 2207: 3093: 2148: 2132: 451: 3108: 2818: 2240:
refers to the division of the full angle (360°) into hundred parts. One example is the description of the gradations on
2135:(SI). The EU directive on the units of measurement notes that the gradian "does not appear in the lists drawn up by the 60: 411: 508:
was later adopted, first in those regions, and later as the international standard. In France, it was also called
2784:
Gunzburger, Yann; Merrien-Soukatchoff, Véronique; Senfaute, Gloria; Piguet, Jack-Pierre; Guglielmi, Yves (2004).
2521: 241: 2451: 2416: 2750:"Contribution to the prediction of ground surface movements caused by a rising water level in a flooded mine" 2493:
The angle through which the torsion-head must be deflected was measured in centesimal divisions of the circle
2394: 275: 3098: 632: 268: 2192: 628: 2749: 2719: 2151:
does not mention the gradian at all. The previous edition mentioned it only in the following footnote:
2310:"NIST Guide to the SI, Appendix B.9: Factors for units listed by kind of quantity or field of science" 3103: 2897: 2664: 2625: 2092: 2060: 2539:
wurde die Größe der Drehung oben an der Drehwage in Hunderttheilen einer ganzen Umdrehung abgelesen
408: 297: 3013: 2478:
A History of Physics in Its Elementary Branches: Including the Evolution of Physical Laboratories
559: 545: 2932: 2926: 2880: 3022: 2966: 2936: 2906: 2830: 2794: 2761: 2725: 2695: 2590: 2584: 2560: 2482: 2455: 2424: 2186: 2174: 467: 2960: 2642: 2977:
Scientific calculators commonly have two modes for working with angles – degrees and radians
2633: 2198: 2108: 541: 2996: 2534: 2295: 674: 594: 537: 515: 325: 38: 2786:"Field investigations, monitoring and modeling in the identification of rock fall causes" 3072: 2668: 2629: 2244:'s torsion balance in Ref. The gradations were in one-hundredths of a full revolution. 1133: 443: 379: 345: 210: 3058: 3087: 2656: 2070: 714: 477: 31: 2369: 2075: 3078: 2637: 1123: 404: 256: 122: 2788:. In Lacerda, W.; Ehrlich, Mauricio; Fontoura, S. A. B.; Sayão, A. S. F. (eds.). 2445: 2180: 700: 447: 375: 305: 188: 2571:
It hung on a ribbon torsion element with a knob on top, graduated in 100 parts.
2112: 2084: 2066: 2266: 17: 2757: 2241: 2216: 2183: – Angular measurement, thousandth of a radian (primarily military use) 566: 428: 2616:
Frasier, E. Lewis (February 1974), "Improving an imperfect metric system",
2556:
The Story of Electrical and Magnetic Measurements: From 500 BC to the 1940s
2201: – type of angular measurement instrument, notably used for navigation 308:; in other words, 100 gradians is equal to 90 degrees. It is equivalent to 30:"Grade (angle)" redirects here. For the grade of an inclined surface, see 710: 45: 2905:(9th ed.), International Bureau of Weights and Measures, Dec 2022, 3064: 2088: 659: 635:. In the 2010s, some scientific calculators lack support for gradians. 574: 436: 416: 65: 2989:
Cartographie – lecture de carte – Partie H Quelques exemples à retenir
2396:
Five Place Natural Sine and Tangent Functions in the Centesimal System
414:. The chance of confusion was one reason for the adoption of the term 403:
was defined as one hundredth of a centesimal arc-minute, analogous to
3068: 2962:
Mathematics for Primary and Early Years: Developing Subject Knowledge
2657:"Metrication problems in the construction codes and standards sector" 1128: 570: 463: 432: 386: 367: 281: 153: 709:
The international standard symbol for this unit today is "gon" (see
2721:
Engineering surveying: theory and examination problems for students
2116: 2104: 2096: 2080: 2074: 301: 82: 2823:
Environmental Geology: Handbook of Field Methods and Case Studies
488:
in some northern European countries (meaning a standard degree,
2821:. In Knödel, Klaus; Lange, Gerhard; Voigt, Hans-Jürgen (eds.). 2589:. Dover Books on Mathematics. Dover Publications. p. 114. 524:(new degree) (whereas the standard degree was referred to as 27:
Unit of measurement of an angle, equal to 1/400th of a circle
2344:. Institut Géographique National. p. 12. Archived from 2219: – SI derived unit of solid angle (the "square radian") 2947:
On most scientific calculators, this is set by the DRG key
631:
offered the gon, as well as radians and degrees, for their
617: 399:, was in use for one hundredth of a grade; similarly, the 2779: 2777: 442:
The gon is officially a legal unit of measurement in the
2812: 2810: 2683: 2681: 2212:
Pages displaying short descriptions of redirect targets
2892: 2890: 2195: – French scientist and Navy officer (1733–1799) 370:. Measuring angles in gradians is said to employ the 2419:. In Minnick, Roy; Brinker, Russell Charles (eds.). 2203:
Pages displaying wikidata descriptions as a fallback
374:
system of angular measurement, initiated as part of
1071:60° in geometry must be expressed in fractions (as 686: 681: 657: 650: 645: 431:(especially in Europe), and to a lesser extent in 237: 206: 184: 149: 118: 96: 88: 78: 73: 53: 2928:Electricity: Fundamental Concepts and Applications 2399:. Army Map Service, Corps of Engineers, U.S. Army. 2292:Handbook of Mathematics and Computational Science 2061:History of the metre § Meridional definition 2417:"6. Angle Measurement: Transits and Theodolites" 597:, or the mathematically more convenient radian, 2586:The Science of Measurement: A Historical Survey 2153: 2083:was one ten-millionth of the distance from the 553: 2752:. In Sobczyk, Eugeniusz; Kicki, Jerzy (eds.). 2210: – 2005 book reformulating plane geometry 2189: – Study of superpositions in mathematics 37:"Gon (angle)" redirects here. For n-gon, see 8: 3010:International Bureau of Weights and Measures 2713: 2711: 620:system of units) is generally used instead. 531: 525: 519: 509: 480:, hence it is occasionally referred to as a 471: 2850: 2848: 2846: 2819:"3. Remote sensing: 3.1 Aerial Photography" 2410: 2408: 2406: 2817:Schmidt, Dietmar; Kühn, Friedrich (2007). 2107:was defined as the 10-millionth part of a 484:. Due to confusion with the existing term 450:. However, the gradian is not part of the 59: 50: 2688:Kahmen, Heribert; Faig, Wolfgang (2012). 2661:Final Report National Bureau of Standards 2743: 2741: 2071:Nautical mile § Similar definitions 2067:Arc length § Great circles on Earth 1116: 723: 2724:(5th ed.). Butterworth-Heinemann. 2257: 2229: 2147:." The most recent, 9th edition of the 2119:with increasing precision since then.) 3015:The International System of Units (SI) 642: 424:as the name of the temperature scale. 2827:Springer Science & Business Media 2111:. Thus, 1 gon corresponds to an 1613: 1607: 732: 729: 7: 2423:(2nd ed.). Chapman & Hall. 518:, the unit was formerly also called 263: – also known as the 2447:The Facts on File Geometry Handbook 2290:Harris, J. W.; Stocker, H. (1998). 2123:Relation to the SI system of units 304:, defined as one-hundredth of the 25: 2899:The International System of Units 2618:Bulletin of the Atomic Scientists 427:Gradians are principally used in 100: 3038:from the original on 2021-06-04 2450:. Infobase Publishing. p.  2177: – Rate of change of angle 92:gon, ᵍ, grad 2638:10.1080/00963402.1974.11458078 2338:Cartographie: Lecture de Carte 2208:Spread (rational trigonometry) 1: 2931:, Delmar Publishers, p.  2877:"941.202 Einheitenverordnung" 2858:. 27 May 2009. Archived from 2655:Mahaffey, Charles T. (1976), 2514:Journal für Chemie und Physik 2444:Gorini, Catherine A. (2003). 2415:Zimmerman, Edward G. (1995). 2133:International System of Units 452:International System of Units 2925:Maloney, Timothy J. (1992), 2553:Keithley, Joseph F. (1999). 1118:Conversion of common angles 1058: 1047: 1036: 1025: 1014: 1000:Advantages and disadvantages 2879:(in German). Archived from 2718:Schofield, Wilfred (2001). 2156:the Earth is approximately 2079:An early definition of the 1061: 1055: 1050: 1044: 1039: 1033: 1028: 1022: 1017: 1011: 3125: 2793:. Vol. 1. CRC Press. 2064: 2058: 725:SI multiples of gon (gon) 412:minutes and seconds of arc 274: 43: 36: 29: 2559:. John Wiley & Sons. 2520:: 137–166. Archived from 2505:Ohm, Georg Simon (1826). 2103:In the 18th century, the 1109: gon respectively). 752: 749: 746: 743: 740: 737: 114: 58: 2475:Cajori, Florian (1899). 2117:metre has been redefined 530:(old degree)), likewise 401:centesimal second of arc 397:centesimal minute of arc 44:Not to be confused with 2959:Cooke, Heather (2007), 2335:Patrick Bouron (2005). 675:MODIFIER LETTER SMALL G 633:trigonometric functions 616:of a turn (used in the 466:in connection with the 462:The unit originated in 296: – is a 2856:"Directive 80/181/EEC" 2538: 2421:The surveying handbook 2393:Balzer, Fritz (1946). 2374:Art of Problem Solving 2166: 2100: 2055:Relation to the metre 629:scientific calculators 554: 532: 526: 520: 510: 472: 2748:Sroka, Anton (2006). 2271:mathworld.wolfram.com 2193:Jean-Charles de Borda 2078: 2059:Further information: 577:. Today, the degree, 504:of a turn), the name 3094:Units of plane angle 2995:2 March 2012 at the 2965:, SAGE, p. 53, 2583:Klein, H.A. (2012). 202:≈ 15.71... mrad 180:≈ 0.0157... rad 3109:Non-SI metric units 3079:Dictionary of Units 2669:1976nbs..reptU....M 2630:1974BuAtS..30b...9F 2265:Weisstein, Eric W. 2236:On rare occasions, 2091:, measured along a 1119: 726: 298:unit of measurement 109:... is equal to ... 74:General information 68:graded with 400 gon 2101: 1117: 724: 389:, the French word 247:    239:    216:    208:    194:    186:    159:    151:    128:    120:    2912:978-92-822-2272-0 2836:978-3-540-74671-3 2800:978-1-4822-6288-9 2596:978-0-486-14497-9 2566:978-0-7803-1193-0 2461:978-1-4381-0957-2 2187:Harmonic analysis 2175:Angular frequency 2052: 2051: 1066: 1065: 997: 996: 707: 706: 476:, along with the 468:French Revolution 253: 252: 97:Conversions 16:(Redirected from 3116: 3046: 3045: 3044: 3043: 3037: 3021:(8th ed.), 3020: 3006: 3000: 2986: 2980: 2979: 2956: 2950: 2949: 2922: 2916: 2915: 2904: 2894: 2885: 2884: 2873: 2867: 2866: 2862:on 22 May 2020. 2852: 2841: 2840: 2814: 2805: 2804: 2781: 2772: 2771: 2745: 2736: 2735: 2715: 2706: 2705: 2685: 2676: 2675: 2652: 2646: 2640: 2613: 2607: 2606: 2604: 2603: 2580: 2574: 2573: 2550: 2544: 2543: 2533: 2527:on 23 May 2020. 2526: 2511: 2502: 2496: 2495: 2472: 2466: 2465: 2441: 2435: 2434: 2412: 2401: 2400: 2390: 2384: 2383: 2381: 2380: 2366: 2360: 2359: 2357: 2356: 2350: 2343: 2332: 2326: 2325: 2320:. Archived from 2306: 2300: 2299: 2287: 2281: 2280: 2278: 2277: 2262: 2245: 2234: 2213: 2204: 2199:Repeating circle 2163: 2161: 2109:quarter meridian 2041: 2023: 2021: 2020: 2017: 2014: 2007: 2005: 2004: 2001: 1998: 1996: 1985: 1983: 1982: 1979: 1976: 1959: 1957: 1956: 1953: 1950: 1943: 1937: 1935: 1934: 1931: 1928: 1911: 1909: 1908: 1905: 1902: 1900: 1889: 1887: 1886: 1883: 1880: 1870: 1868: 1867: 1864: 1861: 1857: 1846: 1844: 1843: 1840: 1837: 1835: 1824: 1822: 1821: 1818: 1815: 1798: 1796: 1795: 1792: 1789: 1782: 1780: 1779: 1776: 1773: 1772: 1762: 1760: 1759: 1756: 1753: 1736: 1734: 1733: 1730: 1727: 1725: 1714: 1712: 1711: 1708: 1705: 1695: 1693: 1692: 1689: 1686: 1682: 1671: 1669: 1668: 1665: 1662: 1655: 1653: 1652: 1649: 1646: 1645: 1635: 1633: 1632: 1629: 1626: 1615: 1609: 1600: 1598: 1597: 1595: 1590: 1587: 1570: 1568: 1567: 1564: 1561: 1554: 1552: 1551: 1548: 1545: 1544: 1534: 1532: 1531: 1528: 1525: 1508: 1506: 1505: 1502: 1499: 1492: 1490: 1489: 1486: 1483: 1482: 1472: 1470: 1469: 1466: 1463: 1453: 1451: 1450: 1447: 1444: 1440: 1429: 1427: 1426: 1423: 1420: 1413: 1411: 1410: 1407: 1404: 1403: 1393: 1391: 1390: 1387: 1384: 1367: 1365: 1364: 1361: 1358: 1351: 1349: 1348: 1345: 1342: 1341: 1331: 1329: 1328: 1325: 1322: 1312: 1310: 1309: 1306: 1303: 1299: 1288: 1286: 1285: 1282: 1279: 1272: 1270: 1269: 1266: 1263: 1262: 1252: 1250: 1249: 1246: 1243: 1233: 1231: 1230: 1227: 1224: 1220: 1209: 1207: 1206: 1203: 1200: 1193: 1191: 1190: 1187: 1184: 1183: 1173: 1171: 1170: 1167: 1164: 1120: 1108: 1106: 1105: 1102: 1099: 1095: 1089: 1087: 1086: 1083: 1080: 1076: 1009: 1008: 727: 703: 698: 695: 693: 677: 672: 669: 667: 643: 626: 615: 613: 612: 611: 606: 603: 592: 590: 589: 586: 583: 557: 535: 529: 523: 513: 503: 501: 500: 497: 494: 475: 458:History and name 395:, also known as 365: 363: 362: 359: 356: 355: 343: 341: 340: 337: 334: 323: 321: 320: 317: 314: 288: 'angle'), 285: 278: 248: 240: 232: 230: 229: 226: 223: 217: 209: 199: 195: 187: 177: 175: 174: 171: 168: 167: 160: 152: 144: 142: 141: 138: 135: 129: 121: 63: 51: 21: 3124: 3123: 3119: 3118: 3117: 3115: 3114: 3113: 3084: 3083: 3063:Definitions of 3055: 3050: 3049: 3041: 3039: 3035: 3029: 3018: 3008: 3007: 3003: 2997:Wayback Machine 2987: 2983: 2973: 2958: 2957: 2953: 2943: 2924: 2923: 2919: 2913: 2902: 2896: 2895: 2888: 2883:on 22 May 2020. 2875: 2874: 2870: 2854: 2853: 2844: 2837: 2816: 2815: 2808: 2801: 2783: 2782: 2775: 2768: 2747: 2746: 2739: 2732: 2717: 2716: 2709: 2702: 2687: 2686: 2679: 2654: 2653: 2649: 2615: 2614: 2610: 2601: 2599: 2597: 2582: 2581: 2577: 2567: 2552: 2551: 2547: 2529: 2524: 2509: 2504: 2503: 2499: 2489: 2474: 2473: 2469: 2462: 2443: 2442: 2438: 2431: 2414: 2413: 2404: 2392: 2391: 2387: 2378: 2376: 2368: 2367: 2363: 2354: 2352: 2348: 2341: 2334: 2333: 2329: 2308: 2307: 2303: 2296:Springer-Verlag 2289: 2288: 2284: 2275: 2273: 2264: 2263: 2259: 2254: 2249: 2248: 2235: 2231: 2226: 2211: 2202: 2171: 2159: 2157: 2127:The gradian is 2125: 2073: 2063: 2057: 2039: 2018: 2015: 2012: 2011: 2009: 2002: 1999: 1994: 1992: 1991: 1989: 1980: 1977: 1974: 1973: 1971: 1954: 1951: 1948: 1947: 1945: 1941: 1932: 1929: 1926: 1925: 1923: 1906: 1903: 1898: 1896: 1895: 1893: 1884: 1881: 1878: 1877: 1875: 1865: 1862: 1859: 1858: 1855: 1853: 1841: 1838: 1833: 1831: 1830: 1828: 1819: 1816: 1813: 1812: 1810: 1793: 1790: 1787: 1786: 1784: 1777: 1774: 1770: 1769: 1768: 1766: 1757: 1754: 1751: 1750: 1748: 1731: 1728: 1723: 1721: 1720: 1718: 1709: 1706: 1703: 1702: 1700: 1690: 1687: 1684: 1683: 1680: 1678: 1666: 1663: 1660: 1659: 1657: 1650: 1647: 1643: 1642: 1641: 1639: 1630: 1627: 1624: 1623: 1621: 1593: 1591: 1588: 1585: 1584: 1582: 1565: 1562: 1559: 1558: 1556: 1549: 1546: 1542: 1541: 1540: 1538: 1529: 1526: 1523: 1522: 1520: 1503: 1500: 1497: 1496: 1494: 1487: 1484: 1480: 1479: 1478: 1476: 1467: 1464: 1461: 1460: 1458: 1448: 1445: 1442: 1441: 1438: 1436: 1424: 1421: 1418: 1417: 1415: 1408: 1405: 1401: 1400: 1399: 1397: 1388: 1385: 1382: 1381: 1379: 1362: 1359: 1356: 1355: 1353: 1346: 1343: 1339: 1338: 1337: 1335: 1326: 1323: 1320: 1319: 1317: 1307: 1304: 1301: 1300: 1297: 1295: 1283: 1280: 1277: 1276: 1274: 1267: 1264: 1260: 1259: 1258: 1256: 1247: 1244: 1241: 1240: 1238: 1228: 1225: 1222: 1221: 1218: 1216: 1204: 1201: 1198: 1197: 1195: 1188: 1185: 1181: 1180: 1179: 1177: 1168: 1165: 1162: 1161: 1159: 1115: 1103: 1100: 1097: 1096: 1093: 1091: 1084: 1081: 1078: 1077: 1074: 1072: 1002: 721: 699: 696: 691: 690: 673: 670: 665: 664: 653: 641: 624: 609: 607: 604: 601: 600: 598: 587: 584: 581: 580: 578: 498: 495: 492: 491: 489: 460: 385:In continental 360: 357: 353: 352: 351: 349: 338: 335: 332: 331: 329: 318: 315: 312: 311: 309: 246: 238: 227: 224: 221: 220: 218: 215: 207: 201: 197: 193: 185: 179: 172: 169: 165: 164: 163: 161: 158: 150: 139: 136: 133: 132: 130: 127: 119: 69: 49: 42: 39:Regular polygon 35: 28: 23: 22: 15: 12: 11: 5: 3122: 3120: 3112: 3111: 3106: 3101: 3099:Decimalisation 3096: 3086: 3085: 3082: 3081: 3076: 3061: 3054: 3053:External links 3051: 3048: 3047: 3027: 3001: 2981: 2971: 2951: 2941: 2917: 2911: 2886: 2868: 2842: 2835: 2806: 2799: 2773: 2766: 2737: 2730: 2707: 2700: 2694:. De Gruyter. 2677: 2647: 2608: 2595: 2575: 2565: 2545: 2497: 2487: 2467: 2460: 2436: 2429: 2402: 2385: 2361: 2327: 2324:on 2017-04-17. 2301: 2282: 2256: 2255: 2253: 2250: 2247: 2246: 2228: 2227: 2225: 2222: 2221: 2220: 2214: 2205: 2196: 2190: 2184: 2178: 2170: 2167: 2124: 2121: 2056: 2053: 2050: 2049: 2046: 2043: 2036: 2032: 2031: 2028: 2025: 1987: 1968: 1967: 1964: 1961: 1939: 1920: 1919: 1916: 1913: 1891: 1872: 1871: 1851: 1848: 1826: 1807: 1806: 1803: 1800: 1764: 1745: 1744: 1741: 1738: 1716: 1697: 1696: 1676: 1673: 1637: 1618: 1617: 1611: 1605: 1602: 1579: 1578: 1575: 1572: 1536: 1517: 1516: 1513: 1510: 1474: 1455: 1454: 1434: 1431: 1395: 1376: 1375: 1372: 1369: 1333: 1314: 1313: 1293: 1290: 1254: 1235: 1234: 1214: 1211: 1175: 1156: 1155: 1152: 1149: 1146: 1142: 1141: 1136: 1131: 1126: 1114: 1111: 1090: gon and 1068: 1067: 1064: 1063: 1060: 1057: 1053: 1052: 1049: 1046: 1042: 1041: 1038: 1035: 1031: 1030: 1027: 1024: 1020: 1019: 1016: 1013: 1001: 998: 995: 994: 991: 988: 985: 982: 979: 975: 974: 971: 968: 965: 962: 959: 955: 954: 951: 948: 945: 942: 939: 935: 934: 931: 928: 925: 922: 919: 915: 914: 911: 908: 905: 902: 899: 895: 894: 891: 888: 885: 882: 879: 875: 874: 871: 868: 865: 862: 859: 855: 854: 851: 848: 845: 842: 839: 835: 834: 831: 828: 825: 822: 819: 815: 814: 811: 808: 805: 802: 799: 795: 794: 791: 788: 785: 782: 779: 775: 774: 771: 768: 765: 762: 759: 755: 754: 751: 748: 745: 742: 739: 735: 734: 731: 705: 704: 688: 684: 683: 679: 678: 662: 655: 654: 651: 648: 647: 640: 637: 459: 456: 444:European Union 380:decimalisation 251: 250: 244: 242:minutes of arc 235: 234: 213: 204: 203: 191: 182: 181: 156: 147: 146: 125: 116: 115: 112: 111: 106: 99: 98: 94: 93: 90: 86: 85: 80: 76: 75: 71: 70: 64: 56: 55: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3121: 3110: 3107: 3105: 3102: 3100: 3097: 3095: 3092: 3091: 3089: 3080: 3077: 3074: 3070: 3066: 3062: 3060: 3057: 3056: 3052: 3034: 3030: 3028:92-822-2213-6 3024: 3017: 3016: 3011: 3005: 3002: 2998: 2994: 2990: 2985: 2982: 2978: 2974: 2972:9781847876287 2968: 2964: 2963: 2955: 2952: 2948: 2944: 2942:9780827346758 2938: 2934: 2930: 2929: 2921: 2918: 2914: 2908: 2901: 2900: 2893: 2891: 2887: 2882: 2878: 2872: 2869: 2865: 2861: 2857: 2851: 2849: 2847: 2843: 2838: 2832: 2828: 2824: 2820: 2813: 2811: 2807: 2802: 2796: 2792: 2787: 2780: 2778: 2774: 2769: 2767:9780415889391 2763: 2759: 2755: 2751: 2744: 2742: 2738: 2733: 2731:9780750649872 2727: 2723: 2722: 2714: 2712: 2708: 2703: 2701:9783110845716 2697: 2693: 2692: 2684: 2682: 2678: 2674: 2670: 2666: 2662: 2658: 2651: 2648: 2644: 2639: 2635: 2631: 2627: 2623: 2619: 2612: 2609: 2598: 2592: 2588: 2587: 2579: 2576: 2572: 2568: 2562: 2558: 2557: 2549: 2546: 2542: 2540: 2536: 2532: 2523: 2519: 2515: 2508: 2501: 2498: 2494: 2490: 2488:9781548494957 2484: 2481:. Macmillan. 2480: 2479: 2471: 2468: 2463: 2457: 2453: 2449: 2448: 2440: 2437: 2432: 2426: 2422: 2418: 2411: 2409: 2407: 2403: 2398: 2397: 2389: 2386: 2375: 2371: 2365: 2362: 2351:on 2010-04-15 2347: 2340: 2339: 2331: 2328: 2323: 2319: 2315: 2311: 2305: 2302: 2298:. p. 63. 2297: 2293: 2286: 2283: 2272: 2268: 2261: 2258: 2251: 2243: 2239: 2233: 2230: 2223: 2218: 2215: 2209: 2206: 2200: 2197: 2194: 2191: 2188: 2185: 2182: 2179: 2176: 2173: 2172: 2168: 2165: 2152: 2150: 2146: 2142: 2138: 2134: 2130: 2122: 2120: 2118: 2114: 2110: 2106: 2098: 2094: 2090: 2086: 2082: 2077: 2072: 2068: 2062: 2054: 2047: 2044: 2037: 2034: 2033: 2029: 2026: 1988: 1970: 1969: 1965: 1962: 1940: 1922: 1921: 1917: 1914: 1892: 1874: 1873: 1852: 1849: 1827: 1809: 1808: 1804: 1801: 1765: 1747: 1746: 1742: 1739: 1717: 1699: 1698: 1677: 1674: 1638: 1620: 1619: 1612: 1606: 1603: 1581: 1580: 1576: 1573: 1537: 1519: 1518: 1514: 1511: 1475: 1457: 1456: 1435: 1432: 1396: 1378: 1377: 1373: 1370: 1334: 1316: 1315: 1294: 1291: 1255: 1237: 1236: 1215: 1212: 1176: 1158: 1157: 1153: 1150: 1147: 1144: 1143: 1140: 1137: 1135: 1132: 1130: 1127: 1125: 1122: 1121: 1112: 1110: 1062:400 gradians 1054: 1051:300 gradians 1043: 1040:200 gradians 1032: 1029:100 gradians 1021: 1010: 1007: 1006: 1005: 999: 992: 989: 986: 983: 980: 977: 976: 972: 969: 966: 963: 960: 957: 956: 952: 949: 946: 943: 940: 937: 936: 932: 929: 926: 923: 920: 917: 916: 912: 909: 906: 903: 900: 897: 896: 892: 889: 886: 883: 880: 877: 876: 872: 869: 866: 863: 860: 857: 856: 852: 849: 846: 843: 840: 837: 836: 832: 829: 826: 823: 820: 817: 816: 812: 809: 806: 803: 800: 797: 796: 792: 789: 786: 783: 780: 777: 776: 772: 769: 766: 763: 760: 757: 756: 736: 730:Submultiples 728: 722: 719: 716: 715:metric prefix 712: 702: 689: 685: 680: 676: 663: 661: 656: 649: 644: 638: 636: 634: 630: 625:1970s – 621: 619: 596: 576: 572: 568: 563: 561: 556: 551: 547: 543: 539: 534: 528: 522: 517: 512: 511:grade nouveau 507: 487: 483: 482:metric degree 479: 478:metric system 474: 469: 465: 457: 455: 453: 449: 445: 440: 438: 434: 430: 425: 423: 419: 418: 413: 410: 406: 402: 398: 394: 393: 388: 383: 381: 377: 373: 369: 347: 327: 307: 303: 299: 295: 291: 287: 284: 277: 273: 270: 269:Ancient Greek 266: 262: 258: 245: 243: 236: 214: 212: 205: 192: 190: 183: 157: 155: 148: 126: 124: 117: 113: 110: 107: 105: 101: 95: 91: 87: 84: 81: 77: 72: 67: 62: 57: 52: 47: 40: 33: 32:Grade (slope) 19: 18:Metric degree 3075:on sizes.com 3040:, retrieved 3014: 3004: 2984: 2976: 2961: 2954: 2946: 2927: 2920: 2898: 2881:the original 2871: 2863: 2860:the original 2822: 2789: 2753: 2720: 2690: 2672: 2660: 2650: 2621: 2617: 2611: 2600:. Retrieved 2585: 2578: 2570: 2555: 2548: 2528: 2522:the original 2517: 2513: 2500: 2492: 2477: 2470: 2446: 2439: 2420: 2395: 2388: 2377:. Retrieved 2373: 2364: 2353:. Retrieved 2346:the original 2337: 2330: 2322:the original 2313: 2304: 2294:. New York: 2291: 2285: 2274:. Retrieved 2270: 2260: 2237: 2232: 2154: 2131:part of the 2128: 2126: 2102: 1138: 1069: 1003: 987:10 gon 978:10 gon 967:10 gon 958:10 gon 947:10 gon 938:10 gon 927:10 gon 918:10 gon 907:10 gon 898:10 gon 887:10 gon 878:10 gon 867:10 gon 858:10 gon 847:10 gon 838:10 gon 827:10 gon 818:10 gon 807:10 gon 798:10 gon 787:10 gon 778:10 gon 767:10 gon 758:10 gon 720: 708: 627:1990s, most 622: 564: 549: 505: 485: 481: 461: 441: 426: 421: 415: 405:decimal time 400: 396: 391: 390: 384: 371: 293: 289: 282: 279: 272: 264: 260: 257:trigonometry 254: 189:milliradians 108: 103: 79:Unit of 3104:Metrication 3059:Ask Dr Math 2624:(2): 9–44, 2181:Milliradian 2149:SI Brochure 1901:or 2𝜏 or α 1018:0 gradians 701:DEGREE SIGN 448:Switzerland 420:to replace 409:sexagesimal 376:metrication 306:right angle 200: mrad 102:1 gon 3088:Categories 3073:centigrade 3042:2021-12-16 2643:p. 42 2602:2022-01-02 2430:041298511X 2379:2020-08-31 2355:2011-07-07 2276:2020-08-31 2252:References 2238:centesimal 2113:arc length 2085:North Pole 2065:See also: 1854:⁠133 1113:Conversion 993:quettagon 984:quectogon 750:SI symbol 741:SI symbol 733:Multiples 422:centigrade 392:centigrade 372:centesimal 267:(from 178: rad 2758:CRC Press 2691:Surveying 2541:(p. 147) 2531:‹See Tfd› 2370:"Gradian" 2267:"Gradian" 2242:Georg Ohm 2217:Steradian 1679:⁠66 1437:⁠33 1296:⁠16 1092:⁠66 1073:⁠33 973:ronnagon 964:rontogon 953:yottagon 944:yoctogon 933:zettagon 924:zeptogon 884:femtogon 824:microgon 804:milligon 793:hectogon 784:centigon 646:◌ᵍ 567:surveying 560:Icelandic 546:Norwegian 429:surveying 382:efforts. 3033:archived 3012:(2006), 2993:Archived 2314:nist.gov 2169:See also 2162: km 2095:through 2093:meridian 1217:⁠5 1139:Gradians 904:attogon 893:petagon 873:teragon 864:picogon 853:gigagon 844:nanogon 833:megagon 813:kilogon 773:decagon 764:decigon 711:ISO 31-1 687:See also 671:ᵍ 658:In  407:and the 46:Gradient 2665:Bibcode 2626:Bibcode 2089:equator 2087:to the 2038:𝜏 or 2 2035:1 turn 2022:⁠ 2010:⁠ 2006:⁠ 1990:⁠ 1984:⁠ 1972:⁠ 1958:⁠ 1946:⁠ 1936:⁠ 1924:⁠ 1910:⁠ 1894:⁠ 1888:⁠ 1876:⁠ 1869:⁠ 1845:⁠ 1829:⁠ 1823:⁠ 1811:⁠ 1797:⁠ 1785:⁠ 1781:⁠ 1767:⁠ 1761:⁠ 1749:⁠ 1735:⁠ 1719:⁠ 1713:⁠ 1701:⁠ 1694:⁠ 1670:⁠ 1658:⁠ 1654:⁠ 1640:⁠ 1634:⁠ 1622:⁠ 1614:approx. 1608:approx. 1599:⁠ 1583:⁠ 1569:⁠ 1557:⁠ 1553:⁠ 1539:⁠ 1533:⁠ 1521:⁠ 1507:⁠ 1495:⁠ 1491:⁠ 1477:⁠ 1471:⁠ 1459:⁠ 1452:⁠ 1428:⁠ 1416:⁠ 1412:⁠ 1398:⁠ 1392:⁠ 1380:⁠ 1366:⁠ 1354:⁠ 1350:⁠ 1336:⁠ 1330:⁠ 1318:⁠ 1311:⁠ 1287:⁠ 1275:⁠ 1271:⁠ 1257:⁠ 1251:⁠ 1239:⁠ 1232:⁠ 1208:⁠ 1196:⁠ 1192:⁠ 1178:⁠ 1172:⁠ 1160:⁠ 1145:0 turn 1134:Degrees 1129:Radians 1107:⁠ 1088:⁠ 913:exagon 682:Related 660:Unicode 623:In the 614:⁠ 599:⁠ 591:⁠ 579:⁠ 575:geology 555:nýgráða 552:), and 550:gradian 542:Swedish 527:Altgrad 521:Neugrad 502:⁠ 490:⁠ 486:grad(e) 470:as the 446:and in 437:geology 417:Celsius 364:⁠ 350:⁠ 342:⁠ 330:⁠ 322:⁠ 310:⁠ 261:gradian 231:⁠ 219:⁠ 211:degrees 176:⁠ 162:⁠ 154:radians 143:⁠ 131:⁠ 66:Compass 3025:  2969:  2939:  2909:  2833:  2797:  2791:Brazil 2764:  2728:  2698:  2593:  2563:  2535:German 2485:  2458:  2427:  2069:, and 1610:57.3° 1604:1 rad 1371:22.5° 1148:0 rad 770:dagon 747:Value 738:Value 697:° 694: 692:U+00B0 668: 666:U+1D4D 639:Symbol 571:mining 548:(also 538:Danish 533:nygrad 516:German 464:France 454:(SI). 433:mining 387:Europe 368:radian 346:degree 300:of an 259:, the 104:in ... 89:Symbol 3065:grade 3036:(PDF) 3019:(PDF) 2903:(PDF) 2641:. On 2525:(PDF) 2510:(PDF) 2349:(PDF) 2342:(PDF) 2224:Notes 2105:metre 2097:Paris 2081:metre 2045:360° 2027:270° 1986:turn 1963:180° 1938:turn 1915:144° 1890:turn 1850:120° 1836:or 𝜏 1825:turn 1763:turn 1726:or 𝜏 1715:turn 1636:turn 1616:63.7 1601:turn 1596:or 𝜏 1535:turn 1473:turn 1394:turn 1332:turn 1253:turn 1174:turn 1124:Turns 990:Qgon 981:qgon 970:Rgon 961:rgon 950:Ygon 941:ygon 930:Zgon 921:zgon 910:Egon 901:agon 890:Pgon 881:fgon 870:Tgon 861:pgon 850:Ggon 841:ngon 830:Mgon 821:μgon 810:kgon 801:mgon 790:hgon 781:cgon 761:dgon 753:Name 744:Name 593:of a 514:. In 473:grade 366:of a 348:, or 344:of a 324:of a 302:angle 294:grade 292:, or 283:gōnía 276:γωνία 271: 123:turns 83:Angle 3071:and 3023:ISBN 2967:ISBN 2937:ISBN 2907:ISBN 2831:ISBN 2795:ISBN 2762:ISBN 2726:ISBN 2696:ISBN 2591:ISBN 2561:ISBN 2483:ISBN 2456:ISBN 2425:ISBN 2318:NIST 2145:BIPM 2141:CIPM 2137:CGPM 2048:400 2042:rad 2030:300 2024:rad 1997:or ρ 1966:200 1960:rad 1918:160 1912:rad 1847:rad 1805:100 1802:90° 1799:rad 1740:72° 1737:rad 1675:60° 1672:rad 1574:45° 1571:rad 1512:36° 1509:rad 1433:30° 1430:rad 1368:rad 1292:15° 1289:rad 1210:rad 1056:360° 1045:270° 1034:180° 595:turn 573:and 544:and 435:and 378:and 326:turn 290:grad 145:turn 3069:gon 2933:453 2634:doi 2160:000 2143:or 2129:not 2013:3𝜏 2008:or 1944:or 1783:or 1743:80 1656:or 1577:50 1555:or 1515:40 1493:or 1414:or 1374:25 1352:or 1273:or 1213:5° 1194:or 1151:0° 1023:90° 652:Gon 588:360 558:in 536:in 506:gon 499:360 361:200 319:400 265:gon 255:In 249:54′ 173:200 140:400 54:gon 3090:: 3067:, 3031:, 2991:. 2975:, 2945:, 2935:, 2889:^ 2845:^ 2829:. 2825:. 2809:^ 2776:^ 2760:. 2756:. 2740:^ 2710:^ 2680:^ 2671:, 2659:, 2632:, 2622:30 2620:, 2569:. 2537:: 2518:46 2516:. 2512:. 2491:. 2454:. 2452:22 2405:^ 2372:. 2316:. 2312:. 2269:. 2158:10 2139:, 1949:𝜏 1788:𝜏 1661:𝜏 1560:𝜏 1504:10 1498:𝜏 1468:10 1425:12 1419:𝜏 1389:12 1363:16 1357:𝜏 1327:16 1284:24 1278:𝜏 1268:12 1248:24 1205:72 1199:𝜏 1189:36 1169:72 1154:0 1012:0° 618:SI 569:, 562:. 540:, 439:. 339:10 328:, 228:10 2999:. 2839:. 2803:. 2770:. 2734:. 2704:. 2667:: 2636:: 2628:: 2605:. 2464:. 2433:. 2382:. 2358:. 2279:. 2099:. 2040:π 2019:4 2016:/ 2003:2 2000:/ 1995:π 1993:3 1981:4 1978:/ 1975:3 1955:2 1952:/ 1942:π 1933:2 1930:/ 1927:1 1907:5 1904:/ 1899:π 1897:4 1885:5 1882:/ 1879:2 1866:3 1863:/ 1860:1 1856:+ 1842:3 1839:/ 1834:π 1832:2 1820:3 1817:/ 1814:1 1794:4 1791:/ 1778:2 1775:/ 1771:π 1758:4 1755:/ 1752:1 1732:5 1729:/ 1724:π 1722:2 1710:5 1707:/ 1704:1 1691:3 1688:/ 1685:2 1681:+ 1667:6 1664:/ 1651:3 1648:/ 1644:π 1631:6 1628:/ 1625:1 1594:π 1592:2 1589:/ 1586:1 1566:8 1563:/ 1550:4 1547:/ 1543:π 1530:8 1527:/ 1524:1 1501:/ 1488:5 1485:/ 1481:π 1465:/ 1462:1 1449:3 1446:/ 1443:1 1439:+ 1422:/ 1409:6 1406:/ 1402:π 1386:/ 1383:1 1360:/ 1347:8 1344:/ 1340:π 1324:/ 1321:1 1308:3 1305:/ 1302:2 1298:+ 1281:/ 1265:/ 1261:π 1245:/ 1242:1 1229:9 1226:/ 1223:5 1219:+ 1202:/ 1186:/ 1182:π 1166:/ 1163:1 1104:3 1101:/ 1098:2 1094:+ 1085:3 1082:/ 1079:1 1075:+ 1059:= 1048:= 1037:= 1026:= 1015:= 610:π 608:2 605:/ 602:1 585:/ 582:1 496:/ 493:1 358:/ 354:π 336:/ 333:9 316:/ 313:1 286:) 280:( 233:° 225:/ 222:9 198:π 196:5 170:/ 166:π 137:/ 134:1 48:. 41:. 34:. 20:)

Index

Metric degree
Grade (slope)
Regular polygon
Gradient

Compass
Angle
turns
radians
milliradians
degrees
minutes of arc
trigonometry
Ancient Greek
γωνία
unit of measurement
angle
right angle
turn
degree
radian
metrication
decimalisation
Europe
decimal time
sexagesimal
minutes and seconds of arc
Celsius
surveying
mining

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.