334:
3821:
628:
3905:
2662:
49:
3869:
3893:
3845:
3881:
3857:
3833:
478:
Finally, it may be the case that more than one of these factors has come into play. According to that theory, the number is approximately 365 because of the apparent movement of the sun against the celestial sphere, and that it was rounded to 360 for some of the mathematical reasons cited above.
693:, based on powers of ten, there was an attempt to replace degrees by decimal "degrees" in France and nearby countries, where the number in a right angle is equal to 100 gon with 400 gon in a full circle (1° =
345:
The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year. Ancient
647:
have simpler and more "natural" properties when their arguments are expressed in radians. These considerations outweigh the convenient divisibility of the number 360. One complete
3308:
2716:
3940:
3290:
787:
was later adopted for the new unit. Although this idea of metrification was abandoned by
Napoleon, grades continued to be used in several fields and many
460:). Furthermore, it is divisible by every number from 1 to 10 except 7. This property has many useful applications, such as dividing the world into 24
859:, where an equilateral chord was divided into tenths to give a circle of 600 units. This may be seen on a lining plane (an early device for aiming
487:
For many practical purposes, a degree is a small enough angle that whole degrees provide sufficient precision. When this is not the case, as in
2050:
3283:
2637:
3798:
2150:
1993:
457:
2698:
2274:
1984:
3276:
2104:
2065:
397:
of a circle. A chord of length equal to the radius made a natural base quantity. One sixtieth of this, using their standard
2233:
2353:
1877:
The divisors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
599:, etc. Hence, the modern symbols for the minute and second of arc, and the word "second" also refer to this system.
3252:
2543:
2282:
300:
73:
354:
path over the course of the year, seems to advance in its path by approximately one degree each day. Some ancient
3935:
2647:
2225:
560:
Maritime charts are marked in degrees and decimal minutes to facilitate measurement; 1 minute of latitude is 1
68:
17:
3925:
3299:
2362:
2691:
1828:
492:
450:, making it one of only 7 numbers such that no number less than twice as much has more divisors (sequence
3257:
2092:
2089:
Euclidis
Elementa, editit et Latine interpretatus est I. L. Heiberg, in aedibus B. G. Teubneri 1883–1885
579:
and other ancient astronomers, but is rarely used today. These subdivisions were denoted by writing the
3811:
2132:
2096:
2054:
3793:
3247:
2601:
2324:
808:, which is most used in military applications, has at least three specific variants, ranging from
3930:
2684:
2642:
443:
382:
2136:
333:
3686:
3123:
2346:
644:
2253:
3322:
2735:
1891:
856:
788:
664:
366:, used 360 days for a year. The use of a calendar with 360 days may be related to the use of
3762:
3712:
3139:
2206:
2082:
1853:
518:
404:
386:
374:
8:
3897:
3778:
3752:
3737:
3240:
3194:
3164:
2627:
2187:
2122:
1818:
363:
274:
564:. The example above would be given as 40° 11.25′ (commonly written as 11′25 or 11′.25).
3885:
3873:
3825:
3788:
3783:
3235:
3225:
2126:
1823:
780:
766:
427:, and Hipparchus were the first Greeks known to divide the circle in 360 degrees of 60
53:
One degree (shown in red) and eighty nine degrees (shown in blue). The lined area is a
3820:
2785:
2740:
2665:
2551:
2339:
2278:
2229:
2100:
2061:
1997:
3849:
3837:
762:
394:
377:
as the basic unit, and further subdivided the latter into 60 parts following their
373:
Another theory is that the
Babylonians subdivided the circle using the angle of an
359:
338:
3681:
3581:
3179:
2418:
2111:
1962:
1934:
1904:
758:
742:
683:
648:
596:
504:
412:
390:
341:(red). One sixtieth of this arc is a degree. Six such chords complete the circle.
281:
3268:
2312:
557:. Additional precision can be provided using decimal fractions of an arcsecond.
3909:
3757:
3586:
3209:
3184:
3077:
3036:
2986:
2707:
2503:
2056:
Le Système international d'unités (SI) / The
International System of Units (SI)
864:
584:
550:
546:
622:
3919:
3660:
3622:
3556:
3230:
3189:
3154:
3092:
3006:
2810:
2805:
2632:
2556:
2493:
2483:
1887:
1848:
1843:
860:
690:
580:
561:
270:
2026:
1956:
1928:
415:
to exploit
Babylonian astronomical knowledge and techniques systematically.
3861:
3732:
3707:
3617:
3602:
3536:
3372:
3357:
3169:
3087:
3072:
3067:
3052:
3011:
2976:
2950:
2841:
2795:
2780:
2576:
2533:
2518:
2473:
2453:
2370:
1838:
876:
711:
627:
592:
588:
432:
31:
2302:
3747:
3727:
3607:
3541:
3515:
3474:
3410:
3400:
3395:
3390:
3342:
3337:
3332:
3204:
3159:
3082:
3057:
2991:
2981:
2930:
2856:
2846:
2836:
2831:
2826:
2760:
2755:
2750:
2448:
2403:
2320:
829:
805:
636:
602:
515:
436:
398:
378:
367:
347:
296:
187:
123:
54:
643:
rather than degrees. This is for a variety of reasons; for example, the
442:
Another motivation for choosing the number 360 may have been that it is
3742:
3722:
3691:
3665:
3510:
3479:
3469:
3448:
3443:
3438:
3433:
3352:
3174:
3149:
3118:
2935:
2925:
2899:
2894:
2884:
2879:
2775:
428:
424:
420:
416:
408:
221:
3904:
575:, etc., which continues the sexagesimal unit subdivision, was used by
3637:
3561:
3520:
3097:
2513:
2428:
2249:
1858:
541:
535:
500:
488:
465:
461:
3632:
3464:
3102:
3016:
2971:
2920:
2393:
2169:
576:
496:
355:
351:
3655:
3362:
3199:
2790:
2676:
2581:
2566:
2508:
2438:
2433:
2383:
1833:
1813:
891:
639:
work beyond practical geometry, angles are typically measured in
447:
288:
48:
719:
in some northern
European countries (meaning a standard degree,
3551:
3494:
3001:
2955:
2889:
2770:
2596:
2498:
2408:
2388:
2378:
2078:
881:
640:
292:
154:
3612:
3489:
3062:
2945:
2904:
2611:
2606:
2591:
2468:
2463:
2458:
2443:
2398:
277:
83:
2311:
Gray, Meghan; Merrifield, Michael; Moriarty, Philip (2009).
2209:[Divisibility highly composite numbers] (in German).
3546:
3484:
3405:
3367:
3347:
3327:
2996:
2940:
2851:
2800:
2765:
2745:
2730:
2586:
2528:
2523:
2331:
686:(corresponding to a cycle or revolution) is equal to 360°.
469:
452:
3856:
1903:
These new and decimal "degrees" must not be confused with
3627:
2561:
2488:
2478:
801:) were used with French artillery sights in World War I.
472:
521:
subdivisions can be used: one degree is divided into 60
653:
2310:
3809:
2174:
583:
for the number of sixtieths in superscript: 1 for a "
2258:. Translated by Sachau, C. Edward. pp. 147–149.
3941:
Customary units of measurement in the United States
27:
Unit of plane angle where a full circle equals 360°
3298:
3917:
529:. Use of degrees-minutes-seconds is also called
350:noticed that the sun, which follows through the
1937:. December 1994 . HP 00048-90126, (00048-90104)
774:
2242:
2213:
631:A chart to convert between degrees and radians
3284:
2692:
2347:
745:(whereas the "old" degree was referred to as
1986:HP Prime Graphing Calculator User Guide (UG)
1958:HP 50g graphing calculator user's guide (UG)
752:
746:
736:
704:
503:), degree measurements may be written using
30:For other units of angular measurement, see
2638:Historical definitions of the SI base units
1996:October 2014. HP 788996-001. Archived from
1886:Contrast this with the relatively unwieldy
3291:
3277:
2699:
2685:
2354:
2340:
2207:"Teilbarkeit hochzusammengesetzter Zahlen"
1977:
715:. Due to confusion with the existing term
663:radians, or equivalently, the degree is a
47:
2248:
2219:
2149:
2051:Bureau international des poids et mesures
1994:Hewlett-Packard Development Company, L.P.
863:artillery) dating from about 1900 in the
2275:Macmillan International Higher Education
626:
439:system dividing a circle into 60 parts.
332:
2198:
1949:
291:—the SI unit of angular measure is the
14:
3918:
2077:
1930:HP 48G Series – User's Guide (UG)
1921:
533:. These subdivisions, also called the
3272:
2680:
2335:
2268:
2121:
2095:; Fitzpatrick, Richard (2 ed.).
2024:
1366:
1360:
307:radians, one degree is equivalent to
3309:Comparison with imperial unit system
2020:
2018:
735:of a turn), the new unit was called
616:
468:, to correlate with the established
464:, each of which is nominally 15° of
2717:Comparison with US customary system
2204:
2192:Hipparchus and Babylonian astronomy
2167:
828:. It is approximately equal to one
24:
2706:
2186:
855:of a revolution originated in the
411:seem to have been among the first
303:. Because a full rotation equals 2
25:
3952:
3799:Foot–pound–second system of units
2295:
2255:The Chronology of Ancient Nations
2015:
783:. To end the confusion, the name
605:can also be applied as in, e.g.,
3903:
3891:
3879:
3867:
3855:
3843:
3831:
3819:
2661:
2660:
1965:. 1 April 2006. HP F2229AA-90006
2262:
2222:RYA day skipper handbook - sail
2180:
1897:
1880:
1871:
553:(″) respectively. For example,
514:Alternatively, the traditional
482:
3253:Foot–pound–second system (FPS)
2648:System of units of measurement
2226:The Royal Yachting Association
2161:
2143:
2128:The Growth of Physical Science
2115:
2071:
2044:
1894:for every number from 1 to 10.
213: mrad ≈ 17.45.. mrad
179: rad ≈ 0.01745.. rad
13:
1:
3300:United States customary units
2303:"Degrees as an angle measure"
2084:Euclid's Elements of Geometry
1914:
833:
659:radians, so 180° is equal to
337:A circle with an equilateral
2361:
2307:, with interactive animation
1829:Geographic coordinate system
871:Conversion of common angles
295:—but it is mentioned in the
7:
3258:Twenty-foot equivalent unit
1807:
587:" (minute of arc), 1 for a
10:
3957:
3692:Kilopounds per square inch
2151:Murnaghan, Francis Dominic
2133:Cambridge University Press
2097:Princeton University Press
791:support them. Decigrades (
689:With the invention of the
620:
511:); for example, 40.1875°.
328:
29:
3794:English Engineering Units
3771:
3700:
3674:
3648:
3595:
3574:
3529:
3503:
3457:
3426:
3419:
3383:
3315:
3306:
3248:English Engineering units
3218:
3132:
3111:
3045:
3029:
2964:
2913:
2872:
2865:
2819:
2723:
2714:
2656:
2620:
2542:
2417:
2369:
2269:Flegg, Graham H. (1989).
525:, and one minute into 60
401:divisions, was a degree.
393:successors, was based on
273:), is a measurement of a
217:
183:
150:
119:
115:
97:
89:
79:
67:
62:
46:
41:
3701:Other units and measures
3133:Other units and measures
2602:minute and second of arc
2325:University of Nottingham
2271:Numbers Through the Ages
2220:Hopkinson, Sara (2012).
1864:
2643:2019 revision of the SI
645:trigonometric functions
545:, are represented by a
3936:Mathematical constants
3687:Pounds per square inch
3124:Pounds per square inch
789:scientific calculators
775:
753:
747:
737:
705:
703:gon). This was called
632:
555:40.1875° = 40° 11′ 15″
493:geographic coordinates
387:Babylonian astronomers
342:
265:), usually denoted by
3323:Thousandth of an inch
2736:Thousandth of an inch
2093:Heiberg, Johan Ludvig
2091:]. Translated by
2031:mathworld.wolfram.com
1892:least common multiple
867:Museum of Artillery.
857:imperial Russian army
665:mathematical constant
630:
383:earliest trigonometry
336:
3926:Units of plane angle
3763:Ton of refrigeration
3713:British thermal unit
3140:British thermal unit
2544:Other accepted units
2277:. pp. 156–157.
2188:Toomer, Gerald James
2123:Jeans, James Hopwood
2068:, c. 4, pp. 145–146.
651:(360°) is equal to 2
567:The older system of
405:Aristarchus of Samos
381:numeric system. The
375:equilateral triangle
74:Non-SI accepted unit
3779:American wire gauge
3753:Pound-foot (torque)
3738:Foot-pound (energy)
2628:Conversion of units
2313:"° Degree of Angle"
2025:Weisstein, Eric W.
2003:on 3 September 2014
1819:Degree of curvature
872:
845:). A mil measuring
364:Babylonian calendar
110:... is equal to ...
63:General information
3789:Body jewelry sizes
3784:Avoirdupois system
3226:Avoirdupois system
2421:with special names
2081:(2008). "Book 4".
1824:Degrees per second
870:
633:
343:
227:
219:
193:
185:
160:
152:
129:
121:
3807:
3806:
3570:
3569:
3266:
3265:
3025:
3024:
2674:
2673:
2552:astronomical unit
2205:Brefeld, Werner.
2168:Rawlins, Dennis.
2155:Analytic Geometry
2106:978-0-6151-7984-1
2066:978-92-822-2272-0
1805:
1804:
617:Alternative units
444:readily divisible
247:
246:
98:Conversions
16:(Redirected from
3948:
3908:
3907:
3896:
3895:
3894:
3884:
3883:
3882:
3872:
3871:
3870:
3860:
3859:
3848:
3847:
3846:
3836:
3835:
3834:
3824:
3823:
3815:
3424:
3423:
3293:
3286:
3279:
3270:
3269:
2870:
2869:
2701:
2694:
2687:
2678:
2677:
2664:
2663:
2356:
2349:
2342:
2333:
2332:
2328:
2306:
2289:
2288:
2266:
2260:
2259:
2246:
2240:
2239:
2217:
2211:
2210:
2202:
2196:
2195:
2184:
2178:
2177:
2170:"On Aristarchus"
2165:
2159:
2158:
2147:
2141:
2140:
2119:
2113:
2110:
2075:
2069:
2060:(Sèvres: 2019),
2048:
2042:
2041:
2039:
2037:
2022:
2013:
2012:
2010:
2008:
2002:
1991:
1981:
1975:
1974:
1972:
1970:
1953:
1947:
1946:
1944:
1942:
1925:
1908:
1901:
1895:
1884:
1878:
1875:
1794:
1776:
1774:
1773:
1770:
1767:
1760:
1758:
1757:
1754:
1751:
1749:
1738:
1736:
1735:
1732:
1729:
1712:
1710:
1709:
1706:
1703:
1696:
1690:
1688:
1687:
1684:
1681:
1664:
1662:
1661:
1658:
1655:
1653:
1642:
1640:
1639:
1636:
1633:
1623:
1621:
1620:
1617:
1614:
1610:
1599:
1597:
1596:
1593:
1590:
1588:
1577:
1575:
1574:
1571:
1568:
1551:
1549:
1548:
1545:
1542:
1535:
1533:
1532:
1529:
1526:
1525:
1515:
1513:
1512:
1509:
1506:
1489:
1487:
1486:
1483:
1480:
1478:
1467:
1465:
1464:
1461:
1458:
1448:
1446:
1445:
1442:
1439:
1435:
1424:
1422:
1421:
1418:
1415:
1408:
1406:
1405:
1402:
1399:
1398:
1388:
1386:
1385:
1382:
1379:
1368:
1362:
1353:
1351:
1350:
1348:
1343:
1340:
1323:
1321:
1320:
1317:
1314:
1307:
1305:
1304:
1301:
1298:
1297:
1287:
1285:
1284:
1281:
1278:
1261:
1259:
1258:
1255:
1252:
1245:
1243:
1242:
1239:
1236:
1235:
1225:
1223:
1222:
1219:
1216:
1206:
1204:
1203:
1200:
1197:
1193:
1182:
1180:
1179:
1176:
1173:
1166:
1164:
1163:
1160:
1157:
1156:
1146:
1144:
1143:
1140:
1137:
1120:
1118:
1117:
1114:
1111:
1104:
1102:
1101:
1098:
1095:
1094:
1084:
1082:
1081:
1078:
1075:
1065:
1063:
1062:
1059:
1056:
1052:
1041:
1039:
1038:
1035:
1032:
1025:
1023:
1022:
1019:
1016:
1015:
1005:
1003:
1002:
999:
996:
986:
984:
983:
980:
977:
973:
962:
960:
959:
956:
953:
946:
944:
943:
940:
937:
936:
926:
924:
923:
920:
917:
873:
869:
854:
853:
849:
844:
843:
839:
835:
827:
826:
822:
817:
816:
812:
800:
799:
795:
778:
756:
750:
740:
734:
732:
731:
728:
725:
708:
702:
701:
697:
678:
677:
673:
672:
662:
656:
623:Measuring angles
556:
527:seconds (of arc)
523:minutes (of arc)
455:
413:Greek scientists
360:Persian calendar
324:
322:
321:
318:
315:
314:
306:
284:is 360 degrees.
243:
241:
240:
237:
234:
228:
220:
212:
210:
209:
206:
203:
202:
194:
186:
178:
176:
175:
172:
169:
168:
161:
153:
145:
143:
142:
139:
136:
130:
122:
51:
39:
38:
21:
3956:
3955:
3951:
3950:
3949:
3947:
3946:
3945:
3916:
3915:
3914:
3902:
3892:
3890:
3880:
3878:
3868:
3866:
3854:
3844:
3842:
3832:
3830:
3818:
3810:
3808:
3803:
3772:Related systems
3767:
3696:
3682:Inch of mercury
3670:
3644:
3591:
3582:Feet per second
3566:
3525:
3499:
3453:
3415:
3379:
3311:
3302:
3297:
3267:
3262:
3219:Related systems
3214:
3180:Horsepower-hour
3128:
3107:
3041:
3021:
2960:
2909:
2861:
2815:
2719:
2710:
2705:
2675:
2670:
2652:
2633:Metric prefixes
2616:
2538:
2420:
2413:
2365:
2360:
2301:
2298:
2293:
2292:
2285:
2267:
2263:
2247:
2243:
2236:
2235:9781-9051-04949
2218:
2214:
2203:
2199:
2185:
2181:
2166:
2162:
2148:
2144:
2135:(CUP). p.
2120:
2116:
2107:
2076:
2072:
2049:
2045:
2035:
2033:
2023:
2016:
2006:
2004:
2000:
1989:
1983:
1982:
1978:
1968:
1966:
1963:Hewlett-Packard
1955:
1954:
1950:
1940:
1938:
1935:Hewlett-Packard
1927:
1926:
1922:
1917:
1912:
1911:
1905:decimal degrees
1902:
1898:
1890:, which is the
1885:
1881:
1876:
1872:
1867:
1810:
1792:
1771:
1768:
1765:
1764:
1762:
1755:
1752:
1747:
1745:
1744:
1742:
1733:
1730:
1727:
1726:
1724:
1707:
1704:
1701:
1700:
1698:
1694:
1685:
1682:
1679:
1678:
1676:
1659:
1656:
1651:
1649:
1648:
1646:
1637:
1634:
1631:
1630:
1628:
1618:
1615:
1612:
1611:
1608:
1606:
1594:
1591:
1586:
1584:
1583:
1581:
1572:
1569:
1566:
1565:
1563:
1546:
1543:
1540:
1539:
1537:
1530:
1527:
1523:
1522:
1521:
1519:
1510:
1507:
1504:
1503:
1501:
1484:
1481:
1476:
1474:
1473:
1471:
1462:
1459:
1456:
1455:
1453:
1443:
1440:
1437:
1436:
1433:
1431:
1419:
1416:
1413:
1412:
1410:
1403:
1400:
1396:
1395:
1394:
1392:
1383:
1380:
1377:
1376:
1374:
1346:
1344:
1341:
1338:
1337:
1335:
1318:
1315:
1312:
1311:
1309:
1302:
1299:
1295:
1294:
1293:
1291:
1282:
1279:
1276:
1275:
1273:
1256:
1253:
1250:
1249:
1247:
1240:
1237:
1233:
1232:
1231:
1229:
1220:
1217:
1214:
1213:
1211:
1201:
1198:
1195:
1194:
1191:
1189:
1177:
1174:
1171:
1170:
1168:
1161:
1158:
1154:
1153:
1152:
1150:
1141:
1138:
1135:
1134:
1132:
1115:
1112:
1109:
1108:
1106:
1099:
1096:
1092:
1091:
1090:
1088:
1079:
1076:
1073:
1072:
1070:
1060:
1057:
1054:
1053:
1050:
1048:
1036:
1033:
1030:
1029:
1027:
1020:
1017:
1013:
1012:
1011:
1009:
1000:
997:
994:
993:
991:
981:
978:
975:
974:
971:
969:
957:
954:
951:
950:
948:
941:
938:
934:
933:
932:
930:
921:
918:
915:
914:
912:
851:
847:
846:
841:
837:
836:
824:
820:
819:
814:
810:
809:
797:
793:
792:
729:
726:
723:
722:
720:
706:grade (nouveau)
699:
695:
694:
675:
670:
669:
668:
660:
654:
625:
619:
554:
505:decimal degrees
485:
451:
435:used a simpler
419:, Aristarchus,
331:
319:
316:
312:
311:
310:
308:
304:
238:
235:
232:
231:
229:
226:
218:
207:
204:
200:
198:
197:
195:
192:
184:
173:
170:
166:
165:
164:
162:
159:
151:
140:
137:
134:
133:
131:
128:
120:
58:
35:
28:
23:
22:
15:
12:
11:
5:
3954:
3944:
3943:
3938:
3933:
3931:Imperial units
3928:
3913:
3912:
3900:
3888:
3876:
3864:
3852:
3840:
3828:
3805:
3804:
3802:
3801:
3796:
3791:
3786:
3781:
3775:
3773:
3769:
3768:
3766:
3765:
3760:
3758:Spinning count
3755:
3750:
3745:
3740:
3735:
3730:
3725:
3720:
3718:Degree (angle)
3715:
3710:
3704:
3702:
3698:
3697:
3695:
3694:
3689:
3684:
3678:
3676:
3672:
3671:
3669:
3668:
3663:
3658:
3652:
3650:
3646:
3645:
3643:
3642:
3641:
3640:
3635:
3625:
3620:
3615:
3610:
3605:
3599:
3597:
3593:
3592:
3590:
3589:
3587:Miles per hour
3584:
3578:
3576:
3572:
3571:
3568:
3567:
3565:
3564:
3559:
3554:
3549:
3544:
3539:
3533:
3531:
3527:
3526:
3524:
3523:
3518:
3513:
3507:
3505:
3501:
3500:
3498:
3497:
3492:
3487:
3482:
3477:
3472:
3467:
3461:
3459:
3455:
3454:
3452:
3451:
3446:
3441:
3436:
3430:
3428:
3421:
3417:
3416:
3414:
3413:
3408:
3403:
3398:
3393:
3387:
3385:
3381:
3380:
3378:
3377:
3376:
3375:
3365:
3360:
3355:
3350:
3345:
3340:
3335:
3330:
3325:
3319:
3317:
3313:
3312:
3307:
3304:
3303:
3296:
3295:
3288:
3281:
3273:
3264:
3263:
3261:
3260:
3255:
3250:
3245:
3244:
3243:
3238:
3228:
3222:
3220:
3216:
3215:
3213:
3212:
3210:Spinning count
3207:
3202:
3197:
3192:
3187:
3182:
3177:
3172:
3167:
3162:
3157:
3152:
3147:
3142:
3136:
3134:
3130:
3129:
3127:
3126:
3121:
3115:
3113:
3109:
3108:
3106:
3105:
3100:
3095:
3090:
3085:
3080:
3075:
3070:
3065:
3060:
3055:
3049:
3047:
3043:
3042:
3040:
3039:
3037:Miles per hour
3033:
3031:
3027:
3026:
3023:
3022:
3020:
3019:
3014:
3009:
3004:
2999:
2994:
2989:
2984:
2979:
2974:
2968:
2966:
2962:
2961:
2959:
2958:
2953:
2948:
2943:
2938:
2933:
2928:
2923:
2917:
2915:
2911:
2910:
2908:
2907:
2902:
2897:
2892:
2887:
2882:
2876:
2874:
2867:
2863:
2862:
2860:
2859:
2854:
2849:
2844:
2839:
2834:
2829:
2823:
2821:
2817:
2816:
2814:
2813:
2808:
2803:
2798:
2793:
2788:
2786:Gunter's chain
2783:
2778:
2773:
2768:
2763:
2758:
2753:
2748:
2743:
2738:
2733:
2727:
2725:
2721:
2720:
2715:
2712:
2711:
2708:Imperial units
2704:
2703:
2696:
2689:
2681:
2672:
2671:
2669:
2668:
2657:
2654:
2653:
2651:
2650:
2645:
2640:
2635:
2630:
2624:
2622:
2618:
2617:
2615:
2614:
2609:
2604:
2599:
2594:
2589:
2584:
2579:
2574:
2569:
2564:
2559:
2554:
2548:
2546:
2540:
2539:
2537:
2536:
2531:
2526:
2521:
2516:
2511:
2506:
2501:
2496:
2491:
2486:
2481:
2476:
2471:
2466:
2461:
2456:
2451:
2446:
2441:
2439:degree Celsius
2436:
2431:
2425:
2423:
2419:Derived units
2415:
2414:
2412:
2411:
2406:
2401:
2396:
2391:
2386:
2381:
2375:
2373:
2367:
2366:
2359:
2358:
2351:
2344:
2336:
2330:
2329:
2308:
2297:
2296:External links
2294:
2291:
2290:
2283:
2261:
2241:
2234:
2228:. p. 76.
2212:
2197:
2179:
2160:
2142:
2114:
2105:
2070:
2043:
2014:
1992:(1 ed.).
1976:
1961:(1 ed.).
1948:
1933:(8 ed.).
1919:
1918:
1916:
1913:
1910:
1909:
1896:
1879:
1869:
1868:
1866:
1863:
1862:
1861:
1856:
1851:
1846:
1841:
1836:
1831:
1826:
1821:
1816:
1809:
1806:
1803:
1802:
1799:
1796:
1789:
1785:
1784:
1781:
1778:
1740:
1721:
1720:
1717:
1714:
1692:
1673:
1672:
1669:
1666:
1644:
1625:
1624:
1604:
1601:
1579:
1560:
1559:
1556:
1553:
1517:
1498:
1497:
1494:
1491:
1469:
1450:
1449:
1429:
1426:
1390:
1371:
1370:
1364:
1358:
1355:
1332:
1331:
1328:
1325:
1289:
1270:
1269:
1266:
1263:
1227:
1208:
1207:
1187:
1184:
1148:
1129:
1128:
1125:
1122:
1086:
1067:
1066:
1046:
1043:
1007:
988:
987:
967:
964:
928:
909:
908:
905:
902:
899:
895:
894:
889:
884:
879:
865:St. Petersburg
618:
615:
484:
481:
385:, used by the
358:, such as the
330:
327:
245:
244:
224:
215:
214:
190:
181:
180:
157:
148:
147:
126:
117:
116:
113:
112:
107:
100:
99:
95:
94:
91:
87:
86:
81:
77:
76:
71:
65:
64:
60:
59:
52:
44:
43:
26:
18:Fourth (angle)
9:
6:
4:
3:
2:
3953:
3942:
3939:
3937:
3934:
3932:
3929:
3927:
3924:
3923:
3921:
3911:
3906:
3901:
3899:
3889:
3887:
3877:
3875:
3865:
3863:
3858:
3853:
3851:
3841:
3839:
3829:
3827:
3822:
3817:
3816:
3813:
3800:
3797:
3795:
3792:
3790:
3787:
3785:
3782:
3780:
3777:
3776:
3774:
3770:
3764:
3761:
3759:
3756:
3754:
3751:
3749:
3746:
3744:
3741:
3739:
3736:
3734:
3731:
3729:
3726:
3724:
3721:
3719:
3716:
3714:
3711:
3709:
3706:
3705:
3703:
3699:
3693:
3690:
3688:
3685:
3683:
3680:
3679:
3677:
3673:
3667:
3664:
3662:
3659:
3657:
3654:
3653:
3651:
3647:
3639:
3636:
3634:
3631:
3630:
3629:
3626:
3624:
3623:Hundredweight
3621:
3619:
3616:
3614:
3611:
3609:
3606:
3604:
3601:
3600:
3598:
3594:
3588:
3585:
3583:
3580:
3579:
3577:
3573:
3563:
3560:
3558:
3555:
3553:
3550:
3548:
3545:
3543:
3540:
3538:
3535:
3534:
3532:
3528:
3522:
3519:
3517:
3514:
3512:
3509:
3508:
3506:
3502:
3496:
3493:
3491:
3488:
3486:
3483:
3481:
3478:
3476:
3473:
3471:
3468:
3466:
3463:
3462:
3460:
3456:
3450:
3447:
3445:
3442:
3440:
3437:
3435:
3432:
3431:
3429:
3425:
3422:
3418:
3412:
3409:
3407:
3404:
3402:
3399:
3397:
3394:
3392:
3389:
3388:
3386:
3382:
3374:
3371:
3370:
3369:
3366:
3364:
3361:
3359:
3356:
3354:
3351:
3349:
3346:
3344:
3341:
3339:
3336:
3334:
3331:
3329:
3326:
3324:
3321:
3320:
3318:
3314:
3310:
3305:
3301:
3294:
3289:
3287:
3282:
3280:
3275:
3274:
3271:
3259:
3256:
3254:
3251:
3249:
3246:
3242:
3239:
3237:
3234:
3233:
3232:
3231:English units
3229:
3227:
3224:
3223:
3221:
3217:
3211:
3208:
3206:
3203:
3201:
3198:
3196:
3193:
3191:
3190:Pound (force)
3188:
3186:
3183:
3181:
3178:
3176:
3173:
3171:
3168:
3166:
3163:
3161:
3158:
3156:
3153:
3151:
3148:
3146:
3143:
3141:
3138:
3137:
3135:
3131:
3125:
3122:
3120:
3117:
3116:
3114:
3110:
3104:
3101:
3099:
3096:
3094:
3093:Hundredweight
3091:
3089:
3086:
3084:
3081:
3079:
3076:
3074:
3071:
3069:
3066:
3064:
3061:
3059:
3056:
3054:
3051:
3050:
3048:
3044:
3038:
3035:
3034:
3032:
3028:
3018:
3015:
3013:
3010:
3008:
3005:
3003:
3000:
2998:
2995:
2993:
2990:
2988:
2987:Fluid Scruple
2985:
2983:
2980:
2978:
2975:
2973:
2970:
2969:
2967:
2963:
2957:
2954:
2952:
2949:
2947:
2944:
2942:
2939:
2937:
2934:
2932:
2929:
2927:
2924:
2922:
2919:
2918:
2916:
2912:
2906:
2903:
2901:
2898:
2896:
2893:
2891:
2888:
2886:
2883:
2881:
2878:
2877:
2875:
2871:
2868:
2864:
2858:
2855:
2853:
2850:
2848:
2845:
2843:
2840:
2838:
2835:
2833:
2830:
2828:
2825:
2824:
2822:
2818:
2812:
2809:
2807:
2806:Nautical mile
2804:
2802:
2799:
2797:
2794:
2792:
2789:
2787:
2784:
2782:
2779:
2777:
2774:
2772:
2769:
2767:
2764:
2762:
2759:
2757:
2754:
2752:
2749:
2747:
2744:
2742:
2739:
2737:
2734:
2732:
2729:
2728:
2726:
2722:
2718:
2713:
2709:
2702:
2697:
2695:
2690:
2688:
2683:
2682:
2679:
2667:
2659:
2658:
2655:
2649:
2646:
2644:
2641:
2639:
2636:
2634:
2631:
2629:
2626:
2625:
2623:
2619:
2613:
2610:
2608:
2605:
2603:
2600:
2598:
2595:
2593:
2590:
2588:
2585:
2583:
2580:
2578:
2575:
2573:
2572:degree of arc
2570:
2568:
2565:
2563:
2560:
2558:
2555:
2553:
2550:
2549:
2547:
2545:
2541:
2535:
2532:
2530:
2527:
2525:
2522:
2520:
2517:
2515:
2512:
2510:
2507:
2505:
2502:
2500:
2497:
2495:
2492:
2490:
2487:
2485:
2482:
2480:
2477:
2475:
2472:
2470:
2467:
2465:
2462:
2460:
2457:
2455:
2452:
2450:
2447:
2445:
2442:
2440:
2437:
2435:
2432:
2430:
2427:
2426:
2424:
2422:
2416:
2410:
2407:
2405:
2402:
2400:
2397:
2395:
2392:
2390:
2387:
2385:
2382:
2380:
2377:
2376:
2374:
2372:
2368:
2364:
2357:
2352:
2350:
2345:
2343:
2338:
2337:
2334:
2326:
2322:
2318:
2317:Sixty Symbols
2314:
2309:
2304:
2300:
2299:
2286:
2280:
2276:
2272:
2265:
2257:
2256:
2251:
2245:
2237:
2231:
2227:
2223:
2216:
2208:
2201:
2193:
2189:
2183:
2175:
2171:
2164:
2156:
2152:
2146:
2138:
2134:
2130:
2129:
2124:
2118:
2112:
2108:
2102:
2098:
2094:
2090:
2086:
2085:
2080:
2074:
2067:
2063:
2059:
2057:
2052:
2047:
2032:
2028:
2021:
2019:
1999:
1995:
1988:
1987:
1980:
1964:
1960:
1959:
1952:
1936:
1932:
1931:
1924:
1920:
1906:
1900:
1893:
1889:
1883:
1874:
1870:
1860:
1857:
1855:
1854:Square second
1852:
1850:
1849:Square minute
1847:
1845:
1844:Square degree
1842:
1840:
1837:
1835:
1832:
1830:
1827:
1825:
1822:
1820:
1817:
1815:
1812:
1811:
1800:
1797:
1790:
1787:
1786:
1782:
1779:
1741:
1723:
1722:
1718:
1715:
1693:
1675:
1674:
1670:
1667:
1645:
1627:
1626:
1605:
1602:
1580:
1562:
1561:
1557:
1554:
1518:
1500:
1499:
1495:
1492:
1470:
1452:
1451:
1430:
1427:
1391:
1373:
1372:
1365:
1359:
1356:
1334:
1333:
1329:
1326:
1290:
1272:
1271:
1267:
1264:
1228:
1210:
1209:
1188:
1185:
1149:
1131:
1130:
1126:
1123:
1087:
1069:
1068:
1047:
1044:
1008:
990:
989:
968:
965:
929:
911:
910:
906:
903:
900:
897:
896:
893:
890:
888:
885:
883:
880:
878:
875:
874:
868:
866:
862:
861:indirect fire
858:
831:
807:
802:
790:
786:
782:
777:
772:
768:
764:
760:
755:
749:
744:
739:
718:
714:
713:
707:
692:
691:metric system
687:
685:
680:
666:
658:
657:
650:
646:
642:
638:
629:
624:
614:
612:
608:
604:
600:
598:
594:
590:
586:
582:
581:Roman numeral
578:
574:
570:
565:
563:
562:nautical mile
558:
552:
548:
544:
543:
538:
537:
532:
528:
524:
520:
517:
512:
510:
506:
502:
498:
494:
490:
480:
476:
474:
471:
467:
463:
459:
454:
449:
446:: 360 has 24
445:
440:
438:
434:
430:
426:
422:
418:
414:
410:
406:
402:
400:
396:
392:
388:
384:
380:
376:
371:
369:
365:
361:
357:
353:
349:
340:
335:
326:
302:
301:accepted unit
298:
294:
290:
287:It is not an
285:
283:
282:full rotation
280:in which one
279:
276:
272:
271:degree symbol
268:
264:
260:
256:
255:degree of arc
252:
225:
223:
216:
191:
189:
182:
158:
156:
149:
127:
125:
118:
114:
111:
108:
106:
102:
101:
96:
92:
88:
85:
82:
78:
75:
72:
70:
66:
61:
56:
50:
45:
40:
37:
33:
19:
3898:Solar System
3733:Foot-lambert
3717:
3708:Bolt (cloth)
3170:Foot-poundal
3144:
3088:Long hundred
3068:Pound (mass)
2992:Fluid Drachm
2951:Trade gallon
2577:electronvolt
2571:
2316:
2284:1-34920177-4
2270:
2264:
2254:
2244:
2221:
2215:
2200:
2191:
2182:
2173:
2163:
2157:. p. 2.
2154:
2145:
2127:
2117:
2088:
2083:
2073:
2055:
2046:
2034:. Retrieved
2030:
2005:. Retrieved
1998:the original
1985:
1979:
1967:. Retrieved
1957:
1951:
1939:. Retrieved
1929:
1923:
1899:
1882:
1873:
1839:Meridian arc
886:
803:
784:
770:
751:), likewise
716:
710:
688:
681:
652:
637:mathematical
634:
610:
606:
601:
572:
568:
566:
559:
551:double prime
547:single prime
540:
534:
531:DMS notation
530:
526:
522:
513:
508:
486:
483:Subdivisions
477:
475:convention.
441:
433:Eratosthenes
403:
372:
344:
286:
266:
262:
258:
254:
253:(in full, a
250:
248:
188:milliradians
109:
104:
93:°, deg
80:Unit of
36:
32:Angular unit
3886:Outer space
3874:Spaceflight
3826:Mathematics
3728:Foot-candle
3661:Pound-force
3475:Fluid ounce
3411:Square mile
3401:Square yard
3396:Square foot
3391:Square inch
3160:Foot-candle
2931:Fluid ounce
2857:Square mile
2837:Square yard
2832:Square foot
2827:Square inch
2321:Brady Haran
1941:6 September
1654:or 2𝜏 or α
830:milliradian
806:angular mil
611:microdegree
607:millidegree
603:SI prefixes
516:sexagesimal
509:DD notation
437:sexagesimal
429:arc minutes
399:sexagesimal
379:sexagesimal
368:sexagesimal
348:astronomers
297:SI brochure
69:Unit system
55:right angle
3920:Categories
3743:Horsepower
3723:Fahrenheit
3511:Board foot
3470:Tablespoon
3449:Cubic mile
3444:Cubic yard
3439:Cubic foot
3434:Cubic inch
3236:Winchester
3195:Pound-foot
3175:Horsepower
3165:Foot-pound
3150:Fahrenheit
2926:Tablespoon
2900:Cubic mile
2895:Cubic yard
2885:Cubic foot
2880:Cubic inch
2741:Barleycorn
2371:Base units
2224:. Hamble:
2007:13 October
1969:10 October
1915:References
1607:133
621:See also:
595:, 1 for a
591:, 1 for a
462:time zones
425:Archimedes
421:Aristillus
417:Timocharis
409:Hipparchus
389:and their
259:arc degree
3850:Astronomy
3838:Geography
3562:Acre-foot
3521:Face cord
3241:Exchequer
3098:Ship load
2514:steradian
2429:becquerel
2252:(1879) .
2250:Al-Biruni
2058:, 9th ed.
2036:31 August
1859:Steradian
1432:66
1190:33
1049:16
781:Icelandic
767:Norwegian
542:arcsecond
536:arcminute
501:longitude
489:astronomy
466:longitude
370:numbers.
356:calendars
325:radians.
263:arcdegree
3675:Pressure
3465:Teaspoon
3112:Pressure
3017:Hogshead
2972:Chaldron
2921:Teaspoon
2666:Category
2621:See also
2394:kilogram
2363:SI units
2323:for the
2153:(1946).
2125:(1947).
2027:"Degree"
1808:See also
970:5
892:Gradians
635:In most
577:al-Kashi
549:(′) and
497:latitude
448:divisors
362:and the
352:ecliptic
3910:Science
3812:Portals
3656:Poundal
3458:Cooking
3427:Derived
3373:statute
3363:Furlong
3200:Poundal
3185:Kenning
3155:Rankine
3078:Quarter
2914:Cooking
2873:Derived
2791:Furlong
2582:hectare
2567:decibel
2509:sievert
2504:siemens
2434:coulomb
2384:candela
1834:Gradian
1814:Compass
1791:𝜏 or 2
1788:1 turn
1775:
1763:
1759:
1743:
1737:
1725:
1711:
1699:
1689:
1677:
1663:
1647:
1641:
1629:
1622:
1598:
1582:
1576:
1564:
1550:
1538:
1534:
1520:
1514:
1502:
1488:
1472:
1466:
1454:
1447:
1423:
1411:
1407:
1393:
1387:
1375:
1367:approx.
1361:approx.
1352:
1336:
1322:
1310:
1306:
1292:
1286:
1274:
1260:
1248:
1244:
1230:
1224:
1212:
1205:
1181:
1169:
1165:
1151:
1145:
1133:
1119:
1107:
1103:
1089:
1083:
1071:
1064:
1040:
1028:
1024:
1010:
1004:
992:
985:
961:
949:
945:
931:
925:
913:
898:0 turn
887:Degrees
882:Radians
850:⁄
840:⁄
823:⁄
813:⁄
796:⁄
776:nýgráða
773:), and
771:gradian
763:Swedish
748:Altgrad
738:Neugrad
733:
721:
717:grad(e)
698:⁄
674:⁄
667:: 1° =
641:radians
613:, etc.
573:fourths
491:or for
470:24-hour
456:in the
453:A072938
329:History
323:
309:
289:SI unit
242:
230:
211:
196:
177:
163:
155:radians
144:
132:
3557:Barrel
3552:Bushel
3495:Gallon
3420:Volume
3316:Length
3145:Degree
3058:Drachm
3007:Barrel
3002:Bushel
2956:Gallon
2890:Hoppus
2866:Volume
2811:League
2771:Fathom
2724:Length
2597:minute
2557:dalton
2499:radian
2494:pascal
2484:newton
2409:second
2389:kelvin
2379:ampere
2281:
2232:
2103:
2079:Euclid
2064:
1363:57.3°
1357:1 rad
1124:22.5°
901:0 rad
769:(also
759:Danish
754:nygrad
743:German
597:fourth
589:second
569:thirds
395:chords
299:as an
293:radian
251:degree
105:in ...
90:Symbol
42:Degree
3862:Stars
3649:Force
3638:Short
3618:Pound
3613:Ounce
3603:Grain
3575:Speed
3537:Minim
3530:Other
3490:Quart
3358:Chain
3073:Stone
3063:Ounce
3053:Grain
3030:Speed
3012:Stuck
2977:Minim
2965:Other
2946:Quart
2905:Tmcft
2842:Perch
2796:Cable
2781:Chain
2612:tonne
2607:neper
2592:litre
2534:weber
2519:tesla
2474:lumen
2469:katal
2464:joule
2459:hertz
2454:henry
2444:farad
2399:metre
2087:[
2001:(PDF)
1990:(PDF)
1865:Notes
1798:360°
1780:270°
1739:turn
1716:180°
1691:turn
1668:144°
1643:turn
1603:120°
1589:or 𝜏
1578:turn
1516:turn
1479:or 𝜏
1468:turn
1389:turn
1369:63.7
1354:turn
1349:or 𝜏
1288:turn
1226:turn
1147:turn
1085:turn
1006:turn
927:turn
877:Turns
852:6,000
842:6,283
825:6,000
815:6,400
798:4,000
593:third
585:prime
391:Greek
339:chord
278:angle
275:plane
269:(the
261:, or
124:turns
84:Angle
3748:Perm
3633:Long
3608:Dram
3596:Mass
3547:Peck
3542:Gill
3516:Cord
3504:Wood
3485:Pint
3406:Acre
3384:Area
3368:Mile
3348:Yard
3343:Foot
3338:Link
3333:Hand
3328:Inch
3205:Span
3083:Slug
3046:Mass
2997:Peck
2982:Gill
2941:Pint
2852:Acre
2847:Rood
2820:Area
2801:Mile
2766:Yard
2761:Foot
2756:Link
2751:Hand
2746:Inch
2731:Twip
2587:hour
2529:watt
2524:volt
2449:gray
2404:mole
2279:ISBN
2230:ISBN
2101:ISBN
2062:ISBN
2038:2020
2009:2015
1971:2015
1943:2015
1888:2520
1801:400
1795:rad
1783:300
1777:rad
1750:or ρ
1719:200
1713:rad
1671:160
1665:rad
1600:rad
1558:100
1555:90°
1552:rad
1493:72°
1490:rad
1428:60°
1425:rad
1327:45°
1324:rad
1265:36°
1262:rad
1186:30°
1183:rad
1121:rad
1045:15°
1042:rad
963:rad
765:and
712:grad
684:turn
682:One
649:turn
539:and
519:unit
499:and
458:OEIS
407:and
222:gons
146:turn
3666:Kip
3628:Ton
3480:Cup
3353:Rod
3119:Ksi
3103:Ton
2936:Cup
2776:Rod
2562:day
2489:ohm
2479:lux
1766:3𝜏
1761:or
1697:or
1536:or
1496:80
1409:or
1330:50
1308:or
1268:40
1246:or
1167:or
1127:25
1105:or
1026:or
966:5°
947:or
904:0°
818:to
804:An
785:gon
779:in
757:in
741:in
730:360
709:or
676:180
473:day
320:180
199:50·
174:180
141:360
103:1°
3922::
2319:.
2315:.
2273:.
2190:.
2172:.
2131:.
2099:.
2053:,
2029:.
2017:^
1702:𝜏
1541:𝜏
1414:𝜏
1313:𝜏
1257:10
1251:𝜏
1221:10
1178:12
1172:𝜏
1142:12
1116:16
1110:𝜏
1080:16
1037:24
1031:𝜏
1021:12
1001:24
958:72
952:𝜏
942:36
922:72
907:0
834:c.
761:,
696:10
679:.
609:,
571:,
431:.
423:,
257:,
249:A
233:10
3814::
3292:e
3285:t
3278:v
2700:e
2693:t
2686:v
2355:e
2348:t
2341:v
2327:.
2305:.
2287:.
2238:.
2194:.
2176:.
2139:.
2137:7
2109:.
2040:.
2011:.
1973:.
1945:.
1907:.
1793:π
1772:4
1769:/
1756:2
1753:/
1748:π
1746:3
1734:4
1731:/
1728:3
1708:2
1705:/
1695:π
1686:2
1683:/
1680:1
1660:5
1657:/
1652:π
1650:4
1638:5
1635:/
1632:2
1619:3
1616:/
1613:1
1609:+
1595:3
1592:/
1587:π
1585:2
1573:3
1570:/
1567:1
1547:4
1544:/
1531:2
1528:/
1524:π
1511:4
1508:/
1505:1
1485:5
1482:/
1477:π
1475:2
1463:5
1460:/
1457:1
1444:3
1441:/
1438:2
1434:+
1420:6
1417:/
1404:3
1401:/
1397:π
1384:6
1381:/
1378:1
1347:π
1345:2
1342:/
1339:1
1319:8
1316:/
1303:4
1300:/
1296:π
1283:8
1280:/
1277:1
1254:/
1241:5
1238:/
1234:π
1218:/
1215:1
1202:3
1199:/
1196:1
1192:+
1175:/
1162:6
1159:/
1155:π
1139:/
1136:1
1113:/
1100:8
1097:/
1093:π
1077:/
1074:1
1061:3
1058:/
1055:2
1051:+
1034:/
1018:/
1014:π
998:/
995:1
982:9
979:/
976:5
972:+
955:/
939:/
935:π
919:/
916:1
848:1
838:1
832:(
821:1
811:1
794:1
727:/
724:1
700:9
671:π
661:π
655:π
507:(
495:(
317:/
313:π
305:π
267:°
239:9
236:/
208:9
205:/
201:π
171:/
167:π
138:/
135:1
57:.
34:.
20:)
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