Knowledge (XXG)

Cardinal direction

Source 📝

1243:, the four named cardinal directions are not North, South, East and West but are the four directions associated with the places of sunrise and sunset at the winter and summer solstices. Each direction may be associated with a color, which can vary widely between nations, but which is usually one of the basic colors found in nature and natural pigments, such as black, red, white, and yellow, with occasional appearances of blue, green, or other hues. There can be great variety in color symbolism, even among cultures that are close neighbors geographically. 402:") at the North point. The North point will then be the point on the limb that is closest to the North celestial pole. Similarly, a line from the center to the South celestial pole will define the South point by its intersection with the limb. The points at right angles to the North and South points are the East and West points. Going around the disk clockwise from the North point, one encounters in order the West point, the South point, and then the East point. This is opposite to the order on a terrestrial map because one is looking up instead of down. 1436:: east (Indra), southeast (Agni), south (Yama/Dharma), southwest (Nirrti), west (Varuna), northwest (Vayu), north (Kubera/Heaven) and northeast (Ishana/Shiva). North is associated with the Himalayas and heaven while the south is associated with the underworld or land of the fathers (Pitr loka). The directions are named by adding "disha" to the names of each god or entity: e.g. Indradisha (direction of Indra) or Pitrdisha (direction of the forefathers i.e. south). 1318: 3227: 891: 40: 3237: 291:
These eight directional names have been further compounded known as tertiary intercardinal directions, resulting in a total of 32 named points evenly spaced around the compass: north (N), north by east (NbE), north-northeast (NNE), northeast by north (NEbN), northeast (NE), northeast by east (NEbE),
2081:
Hopi orientation corresponds only approximately with ours, their cardinal points being marked by the solstitial rising and setting points of the sun.... Their cardinal points therefore are not mutually equidistant on the horizon and agree roughly with our semi-cardinal
1871:'s cavalry were segregated by color: "red (brown) horses formed the vanguard, blacks the rear, whites the right wing, greys (the closest to blue) the left in the center of the trap the hapless Chinese emperor, whose sacred color was the Imperial yellow." Nickel cites 94:) are northeast (NE), southeast (SE), southwest (SW), and northwest (NW). The intermediate direction of every set of intercardinal and cardinal direction is called a secondary intercardinal direction. These eight shortest points in the 409:, "south" means closer to the South celestial pole, and "west" means at a lower right ascension. If one is looking at two stars that are below the North Star, for example, the one that is "east" will actually be further to the left. 2936: 457:
with east. It is possible that some northern people used the Germanic names for the intermediate directions. Medieval Scandinavian orientation would thus have involved a 45 degree rotation of cardinal directions.
2068: 1321:
Cardinal and non-compound intercardinal directions in Estonian and Finnish. Notice the intermixed "south" and "southwest". Further intermixing between directions south and northwest occur in other
2034:, TĂŒbinger BeitrĂ€ge zur Linguistik (in German), vol. 81, TĂŒbingen: Gunter Narr Verlag, p. 165, "Die Ausrichtung des Hopi-Kardinalsystems" (The Orientation of the Hopi Cardinal System), 3138: 1235:
cosmologies include four cardinal directions and a center. Some may also include "above" and "below" as directions, and therefore focus on a cosmology of seven directions. Among the
1996:
 are "solstitial" in that places on the horizon of sunrise and sunset on the solstices correlate with these directions: On the summer solstice the sun rises in the northeast, 274:
The intercardinal (intermediate, or, historically, ordinal) directions are the four intermediate compass directions located halfway between each pair of cardinal directions.
2127:
Anderson, Kasper Wrem; Helmke, Christophe (2013), "The Personifications of Celestial Water: The Many Guises of the Storm God in the Pantheon and Cosmology of Teotihuacan",
405:
Similarly, when describing the location of one astronomical object relative to another, "north" means closer to the North celestial pole, "east" means at a higher
3190: 1775: 1763: 1751: 1739: 1727: 2062: 2115:
The names of the four horizon cardinal points are, kwiniwi, northwest; tevyĂŒ'ña, southwest; tatyĂșka, southeast, and hopokyĂŒka (syncopated hĂłpoko), northeast.
79:, commonly denoted by their initials N, S, E, and W respectively. Relative to north, the directions east, south, and west are at 90 degree intervals in the 3164: 3075: 2296: 1973:
Hopi dictionary: HopĂŹikwa LavĂ ytutuveni: A Hopi-English dictionary of the Third Mesa dialect with an English-Hopi finder list and a sketch of Hopi grammar
1259:", have been recognized in classical Indian scriptures, symbolizing the four cardinal and four intercardinal directions with the additional directions of 3110: 3098: 3068: 3061: 3208: 2445: 1623: 1554: 2931: 2487: 1986: 3240: 1309:
Many aboriginal languages contain words for the usual four cardinal directions, but some contain words for 5 or even 6 cardinal directions.
1207:, states, regions, governorates, provinces, districts or even towns), and some are the origin of some Southern Iberian place names (such as 3158: 2546: 874: 867: 1451:
are related to the places of sunrise and sunset at the solstices, and correspond approximately to the European intercardinal directions.
3093: 1956:
Krupp, E. C.: "Beyond the Blue Horizon: Myths and Legends of the Sun, Moon, Stars, and Planets", page 371. Oxford University Press, 1992
912: 1232: 2206: 1901: 3103: 2524: 2039: 938: 610:
In many regions of the world, prevalent winds change direction seasonally, and consequently many cultures associate specific named
3055: 1799: 3261: 3088: 2536: 2289: 1680: 31: 2169: 2146: 916: 2230:, Columbia University Contributions to Anthropology, vol. 23, New York: Columbia University Press, pp. 1190–1191, 1345:, the intercardinal directions have names that are not compounds of the names of the cardinal directions (as, for instance, 3172: 1534: 2647: 1303: 835: 1603:, Headquarters, War Department, Washington, D.C. (17 September 1941), "DETERMINATION OF DIRECTION BY FIELD EXPEDIENTS" 2965: 2871: 2470: 2252: 1978: 1433: 1256: 855: 359: 901: 877:. Geographical or ethnic terms may contain the name of the color instead of the name of the corresponding direction. 633:– cardinal and intercardinal directions – were given names. These often corresponded to the directional winds of the 3182: 2943: 2504: 2438: 2282: 1240: 920: 905: 2098: 1151: 1095: 1028: 245: 1397:
for 捗, south), but borrowed Chinese words (on readings of kanji) are used for intercardinal directions (such as
3133: 3028: 2721: 2248: 1827: 987: 962: 2786: 3023: 2823: 2465: 1576: 1511: 1499: 1471:). Some other cultures make greater use of other referents, such as toward the sea or toward the mountains ( 1296: 340: 155: 149: 1495:(Guadalcanal, Solomon Islands) has four non-compass directions: landward, seaward, upcoast, and downcoast. 3083: 1468: 1288: 1280: 1616:""Ordinal directions refer to the direction found at the point equally between each cardinal direction," 3230: 2652: 2528: 2491: 2431: 2361: 2351: 2341: 2331: 2305: 1571: 1548: 1480: 630: 343: 200: 128: 2810: 2765: 2745: 1568:– an international hobby/sport that depends on knowledge of cardinal directions and how to locate them 358:
may be combined with cardinal direction (or, more generally, arbitrary azimuth angle) to form a local
2796: 2760: 2726: 2579: 2058: 1654: 1581: 395: 187: 132: 1873:
I.P. Potapov (1975). "Uber den Pferdekult bei den turksprachigen Volkern des Sajan-Altai-Gebirges".
1615: 3006: 2770: 2620: 2223: 2094: 1969:
Hopi Dictionary Project (University of Arizona Bureau of Applied Research in Anthropology) (1998),
1114: 473: 47:
showing the four cardinal directions, the four intercardinal directions, and eight more divisions.
3200: 2958: 2953: 2948: 2866: 2705: 2683: 2564: 2514: 2257: 1559: 1292: 422: 320: 2791: 1295:
even when indicating the position of an object close to their body. (For more information, see:
1604: 3047: 2818: 2574: 2499: 2317: 2231: 2140: 2035: 1982: 1864: 1460: 1334: 1043: 863: 651: 634: 426: 379: 308: 221: 2193:
Pawu-Kurlpurlurnu WJ, Holmes M and Box L. 2008, Desert Knowledge CRC Report 41, Alice Springs
3150: 2981: 2849: 2657: 2600: 2569: 2509: 2067:, The North American Indian, vol. 12, Norwood, Mass.: The Plimpton Press, p. 246, 2054: 2027: 1562:– explanation of the slight misalignment of a compass with the Earth's north and south poles 1464: 1338: 1322: 1133: 1128: 1056: 1047: 993: 859: 418: 391: 249: 233: 171: 2828: 1897: 1317: 2986: 2913: 2210: 2203: 1342: 1284: 1105: 843: 831:
cultures frequently have traditions associating colors with four or five cardinal points.
828: 406: 355: 347: 2032:
Hopi-Raum: Eine sprachwissenschaftliche Analyse der Raumvorstellungen in der Hopi-Sprache
1389:(northwest). In Japanese, there is the interesting situation that native Japanese words ( 1658: 2695: 2412: 1971: 1492: 1484: 1402: 1138: 1072: 839: 824: 761: 703: 626: 615: 466: 383: 225: 158:
refers to the ways in which a cardinal direction or compass point can be determined in
1803: 834:
Systems with five cardinal points (four directions and the center) include those from
3255: 2688: 2605: 2387: 1444: 1440: 1390: 1252: 1228: 1082: 974: 780: 655: 581: 485: 1676: 1287:
have a cultural philosophy deeply connected to the four cardinal directions and the
3123: 2678: 2610: 2454: 2161: 1565: 1169: 1101: 1077: 999: 847: 820: 387: 351: 287:
Northwest (NW), 315°, halfway between north and west, is the opposite of southeast.
284:
Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.
281:
Southeast (SE), 135°, halfway between south and east, is the opposite of northwest.
241: 95: 44: 278:
Northeast (NE), 45°, halfway between north and east, is the opposite of southwest.
650:
are associated in some traditions with the cardinal points. These are typically "
339:, up and down; or mathematically the six directions of the x-, y-, and z-axes in 252:. The four cardinal directions correspond to the following degrees of a compass: 17: 1868: 1517: 1224: 1212: 1010: 890: 873:
Each direction is often identified with a color, and (at least in China) with a
742: 229: 175: 3011: 2876: 2856: 2615: 2377: 1528: 1109: 1034: 597: 382:
as seen in the sky are four points defined by the directions toward which the
237: 163: 159: 39: 2235: 1432:
Sanskrit and other Indian languages that borrow from it use the names of the
850:
cultures. In Chinese tradition, the five cardinal point system is related to
3016: 2584: 2541: 1543: 1522: 1448: 1283:
have cardinal directions deeply embedded in their culture. For example, the
1201:
is used for the center. All five are used for geographic subdivision names (
1157: 1124: 1120: 371: 312: 80: 518: 386:
lie relative to the center of the disk of the object in the sky. A line (a
3118: 2991: 2881: 2402: 1875:
Abhandlungen und Berichte des Staatlichen Museums fur Volkerkunde Dresden
1539: 1330: 1268: 1163: 1004: 591: 316: 179: 1854: 1302:
The precise direction of the cardinal points appears to be important in
570: 3128: 3001: 2903: 2898: 2731: 2700: 2673: 2407: 2392: 2382: 2105:, vol. 15, Washington, DC: Government Printing Office, p. 258 1924: 1393:, kun readings of kanji) are used for the cardinal directions (such as 1208: 1203: 1066: 1039: 1015: 968: 851: 639: 211: 183: 167: 136: 60: 958: 576: 2996: 2908: 2893: 2888: 1472: 1260: 1147: 619: 585: 490: 2274: 399: 1831: 1181:
Countries where Arabic is used refer to the cardinal directions as
2397: 2346: 2326: 1645:
Rigge, W. F (1918). "Partial eclipse of the moon, 1918, June 24".
1488: 1417:) results in northeast or northwest, respectively, whereas adding 1316: 1264: 1091: 1052: 1024: 954: 800: 723: 647: 565: 430: 328: 324: 68: 64: 38: 2356: 2336: 1476: 1236: 662: 611: 505: 336: 332: 76: 72: 2427: 2423: 2278: 1711:
Den forntida nordiska orientering och Wulfstans resa till Truso
1459:
Use of the compass directions is common and deeply embedded in
2844: 1525:– the mapping information ignored by the cardinal point system 983: 884: 556:) from a word for "evening". The proto-Indo-European form is * 542: 484:'left, below, to the left of the rising sun' whence comes the 2202:
Orientations of linear stone arrangements in New South Wales
1502:
such as left/right, and use geographical directions instead.
971:(Tsingtao): "Green Island", a city on the east coast of China 1855:"Black against white: What color was King Arthur's horse?" 1717:. Scripta Islandica. IslÀndska sÀllskapets Ärsbok 16/1965. 292:
east-northeast (ENE), east by north (EbN), east (E), etc.
2004:; on the winter solstice the sun rises in the southeast, 614:
with cardinal and intercardinal directions. For example,
2204:
Hamacher et al., 2013, Australian Archaeology, 75, 46–54
1479:), or upstream and downstream (most notably in ancient 1313:
Unique (non-compound) names of intercardinal directions
1925:"Review: 'Two Studies of Color' by Nancy P. Hickerson" 1425:) results in southwest. Southeast has a special word: 1786:
Ukrainian Soviet Encyclopedic dictionary, Kiev, 1987.
560:
from the root *ues- 'shine (red)', itself a form of *
540:- 'seethe, boil'. Cognate with this root is the word 30:"Cardinal point" redirects here. For other uses, see 961:"qīng" corresponds to both green and blue); Spring; 216:
The directional names are routinely associated with
3199: 3181: 3149: 3046: 3039: 2974: 2924: 2837: 2809: 2779: 2753: 2744: 2714: 2666: 2640: 2633: 2593: 2557: 2523: 2486: 2479: 2370: 2312: 2191:
Ngurra-kurlu: A way of working with Warlpiri people
2099:"The Group of Tusayan Ceremonials Called Katcinas" 1970: 1964: 1962: 1117:: "Black Khitans" who originated in Northern China 1267:. Each of the ten directions has its own name in 127:Points between the cardinal directions form the 1709:. Studia Neophilologica 14/1941-2; Ekblom, R. 1401:for æ±ć—, southeast, lit. "east-south"). In the 425:names for the cardinal directions entered the 2439: 2290: 1929:International Journal of American Linguistics 8: 2022: 2020: 629:Europe more generally, between eight and 32 178:), but indirect methods exist, based on the 919:. Unsourced material may be challenged and 201:Points of the compass § Compass points 3043: 2750: 2637: 2483: 2446: 2432: 2424: 2297: 2283: 2275: 1776:Indogermanisches etymologisches Wörterbuch 1764:Indogermanisches etymologisches Wörterbuch 1752:Indogermanisches etymologisches Wörterbuch 1740:Indogermanisches etymologisches Wörterbuch 1728:Indogermanisches etymologisches Wörterbuch 1618:Cardinal Directions and Ordinal Directions 1601:Advanced Map and Aerial Photograph Reading 654:" of human perception rather than optical 637:(for example, southeast was linked to the 398:will intersect the edge of the body (the " 2253:"Does Your Language Shape How You Think?" 1794: 1792: 939:Learn how and when to remove this message 27:Directions of north, south, east and west 2103:Annual Report of the Bureau of Ethnology 1822: 1820: 1514:– an early source of cardinal directions 866:, the zodiacal belt is divided into the 676: 1892: 1890: 1888: 1713:. FörnvĂ€nnen. 33/1938; Sköld, Tryggve. 1703:De gamle nordbornas vĂ€derstrecksbegrepp 1592: 2138: 2129:Contributions in New World Archaeology 1904:from the original on 13 September 2010 1863:Nickel also claims that at the 201 BC 1800:"Cardinal colors in Chinese tradition" 1555:List of international common standards 2932:International Orienteering Federation 2071:from the original on 22 December 2015 1626:from the original on 23 February 2019 532:), derived from proto-Indo-European * 394:) from the center of the disk to the 307:may sometimes be extended to include 7: 2547:Radio Orienteering in a Compact Area 2228:Hopi Journal of Alexander M. Stephen 1683:from the original on 7 February 2009 1677:"Solar Observing: Parallactic Angle" 1297:Cultures without relative directions 1291:use cardinal directions rather than 1160:: "Yellow Mountain" in central China 917:adding citations to reliable sources 166:. The most direct method is using a 3236: 2172:from the original on 12 August 2018 1941:means both 'yellow' and 'blue' and 1551:– famous map makers through history 1535:Geographic Information System (GIS) 1434:gods associated with each direction 1104:: "Black Dragon River" province in 1007:: a semi-mythological group of Jews 875:mythological creature of that color 508:. The proto-Indo-European form is * 870:corresponding to the directions. 25: 1166:: "Yellow River" in central China 1123:, literally meaning 'Black Sea': 564:-. Cognate with the root are the 350:include elevation, typically via 3235: 3226: 3225: 889: 182:(unaided or by using a watch or 148:This section is an excerpt from 2537:Amateur radio direction finding 1923:Nobuko B. McNeill (July 1982). 1898:"Colors of the Four Directions" 1455:Non-compass directional systems 1439:The cardinal directions of the 1172:: "Central Army" of the Mongols 546:, thus "the region of the Sun". 32:Cardinal point (disambiguation) 2222:Stephen, Alexander M. (1936), 2160:H. Rodrigues (22 April 2016). 1707:Alfred the Great as Geographer 1498:Some languages lack words for 1: 2008:, and sets in the southwest, 2000:, and sets in the northwest, 1705:. Scandia 1/1928; Ekblom, R. 1304:Aboriginal stone arrangements 661:Many cultures, especially in 618:characterized these winds as 236:. It is a necessary step for 3111:North American Championships 792: 715: 2471:List of orienteering events 1979:University of Arizona Press 1701:See e.g. Weibull, Lauritz. 643:, a wind from the Sahara). 480:'submerged' from the root * 360:spherical coordinate system 240:calculations (derived from 3278: 3183:Mountain bike orienteering 2829:WinOL / WinOL II Oriantica 2505:Mountain bike orienteering 2145:: CS1 maint: postscript ( 2135:: 165–196, at pp. 177–179. 1357:). In Estonian, those are 1241:Southwestern United States 1231:, a number of traditional 1059:words containing the stem 665:, include the center as a 429:, where they replaced the 209: 198: 147: 135:may be indicated by their 29: 3221: 2461: 2371:The eight principal winds 1675:Meadows, Peter; meadows. 868:four constellation groups 838:, as well as traditional 246:Global Positioning System 3134:Kainuu Orienteering Week 1945:means 'green' and 'red'. 1531:– an international hobby 1500:body-relative directions 1373:(northwest), in Finnish 1069:, meaning 'White Russia' 694: 691: 688: 685: 682: 413:Germanic origin of names 270:Intercardinal directions 98:shown to the right are: 92:intercardinal directions 3139:Jan Kjellström Festival 3024:Scoutcraft orienteering 2787:OpenOrienteering Mapper 2466:History of orienteering 1994:The cardinal directions 1577:Polar coordinate system 1512:Classical compass winds 1042:, meaning 'White Sea': 616:classical Greek culture 156:Direction determination 150:Direction determination 3262:Orientation (geometry) 3094:European Championships 2824:Suunnistussimulaattori 1853:Helmut Nickel (2004). 1750:entries 914-15 of the 1726:entries 765-66 of the 1469:south-pointing chariot 1409:(sea) to either east ( 1326: 1289:Guugu Yimithirr people 1281:indigenous Australians 48: 2925:Organisations / lists 2059:Hodge, Frederick Webb 1715:IslĂ€ndska vĂ€derstreck 1572:Points of the compass 1549:List of cartographers 1320: 631:points of the compass 516:- 'shine (red)'. See 344:Cartesian coordinates 133:horizontal directions 129:points of the compass 120:South-southwest (SSW) 117:South-southeast (SSE) 108:North-northeast (NNE) 105:North-northwest (NNW) 42: 2727:Satellite navigation 2580:Mounted orienteering 2224:Parsons, Elsie Clews 2209:17 June 2013 at the 2095:Fewkes, Jesse Walter 1774:entries 86-7 of the 1762:entries 1173 of the 1738:entries 86-7 of the 1582:Uses of trigonometry 1518:Cultural synesthesia 1275:Indigenous Australia 913:improve this section 667:fifth cardinal point 504:) from the word for 396:North celestial pole 256:North (N): 0° = 360° 188:satellite navigation 123:West-southwest (WSW) 114:East-southeast (ESE) 111:East-northeast (ENE) 102:West-northwest (WNW) 59:, are the four main 3209:World Championships 3191:World Championships 3159:World Championships 3056:World Championships 3007:Location-based game 2621:Transmitter hunting 1977:, Tucson, Arizona: 1834:on 18 December 2010 1828:"Chinese Cosmogony" 1806:on 21 February 2007 1659:1918PA.....26..373R 1349:is compounded from 1197:(S). Additionally, 1115:Kara-Khitan Khanate 1035:White Sheep Turkmen 606:Cultural variations 474:proto-Indo-European 301:Cardinal directions 244:) and for use with 53:cardinal directions 3201:Trail orienteering 2949:List of orienteers 2862:cardinal direction 2565:Canoe orienteering 2515:Trail orienteering 2258:The New York Times 2251:(26 August 2010). 1560:Magnetic deviation 1327: 1293:relative direction 186:), the stars, and 88:ordinal directions 49: 3249: 3248: 3217: 3216: 3167: 3078: 3071: 3064: 3048:Foot orienteering 2975:Non-sport related 2819:Catching Features 2805: 2804: 2740: 2739: 2629: 2628: 2575:Mountain marathon 2500:Foot orienteering 2480:Sport disciplines 2421: 2420: 2306:Compass direction 2055:Curtis, Edward S. 2028:Malotki, Ekkehart 1988:978-0-8165-1789-3 1865:battle of Baideng 1861:. pp. 69–72. 1647:Popular Astronomy 1385:(southwest), and 1369:(southwest), and 1044:Mediterranean Sea 949: 948: 941: 864:Chinese astrology 862:. In traditional 860:naked-eye planets 818: 817: 635:Mediterranean Sea 427:Romance languages 380:astronomical body 354:. Alternatively, 341:three-dimensional 309:vertical position 222:angle of rotation 195:Additional points 90:(also called the 18:Ordinal direction 16:(Redirected from 3269: 3239: 3238: 3229: 3228: 3163: 3151:Ski orienteering 3074: 3067: 3060: 3044: 2982:Adventure travel 2850:orienteering map 2751: 2638: 2601:Adventure racing 2570:Car orienteering 2510:Ski orienteering 2484: 2448: 2441: 2434: 2425: 2299: 2292: 2285: 2276: 2270: 2269: 2267: 2265: 2245: 2239: 2238: 2219: 2213: 2200: 2194: 2188: 2182: 2181: 2179: 2177: 2166:www.mahavidya.ca 2157: 2151: 2150: 2144: 2136: 2124: 2118: 2117: 2112: 2110: 2091: 2085: 2084: 2078: 2076: 2051: 2045: 2044: 2024: 2015: 2014: 1976: 1966: 1957: 1954: 1948: 1947: 1920: 1914: 1913: 1911: 1909: 1894: 1883: 1882: 1862: 1850: 1844: 1843: 1841: 1839: 1830:. Archived from 1824: 1815: 1814: 1812: 1811: 1802:. Archived from 1796: 1787: 1784: 1778: 1772: 1766: 1760: 1754: 1748: 1742: 1736: 1730: 1724: 1718: 1699: 1693: 1692: 1690: 1688: 1672: 1666: 1665: 1642: 1636: 1635: 1633: 1631: 1622:. 22 July 2013. 1620:, geolounge.com" 1612: 1606: 1597: 1421:to west (giving 1323:Finnic languages 1255:, known as the " 1219:Native Americans 1134:Black Hungarians 996:: south of China 994:Red River (Asia) 944: 937: 933: 930: 924: 893: 885: 836:pre-modern China 829:North East Asian 825:Eastern European 680:Northern Eurasia 677: 673:Northern Eurasia 419:Migration Period 392:celestial sphere 348:Topographic maps 296:Beyond geography 234:horizontal plane 172:magnetic compass 21: 3277: 3276: 3272: 3271: 3270: 3268: 3267: 3266: 3252: 3251: 3250: 3245: 3213: 3195: 3177: 3145: 3035: 2987:Bicycle touring 2970: 2920: 2914:mountain biking 2833: 2801: 2775: 2736: 2710: 2662: 2625: 2589: 2553: 2519: 2475: 2457: 2452: 2422: 2417: 2366: 2308: 2303: 2273: 2263: 2261: 2247: 2246: 2242: 2221: 2220: 2216: 2211:Wayback Machine 2201: 2197: 2189: 2185: 2175: 2173: 2159: 2158: 2154: 2137: 2126: 2125: 2121: 2108: 2106: 2093: 2092: 2088: 2074: 2072: 2053: 2052: 2048: 2042: 2026: 2025: 2018: 1989: 1981:, p. 890, 1968: 1967: 1960: 1955: 1951: 1922: 1921: 1917: 1907: 1905: 1896: 1895: 1886: 1872: 1852: 1851: 1847: 1837: 1835: 1826: 1825: 1818: 1809: 1807: 1798: 1797: 1790: 1785: 1781: 1773: 1769: 1761: 1757: 1749: 1745: 1737: 1733: 1725: 1721: 1700: 1696: 1686: 1684: 1674: 1673: 1669: 1644: 1643: 1639: 1629: 1627: 1614: 1613: 1609: 1598: 1594: 1590: 1508: 1465:Chinese culture 1457: 1315: 1285:Warlpiri people 1277: 1249: 1221: 1211:, Portugal and 1179: 1106:Northeast China 945: 934: 928: 925: 910: 894: 883: 675: 608: 536:from the root * 512:from the root * 439:septentrionalis 415: 407:right ascension 384:celestial poles 376:cardinal points 368: 356:elevation angle 305:cardinal points 298: 272: 262:South (S): 180° 214: 208: 203: 197: 192: 191: 153: 145: 57:cardinal points 35: 28: 23: 22: 15: 12: 11: 5: 3275: 3273: 3265: 3264: 3254: 3253: 3247: 3246: 3244: 3243: 3233: 3222: 3219: 3218: 3215: 3214: 3212: 3211: 3205: 3203: 3197: 3196: 3194: 3193: 3187: 3185: 3179: 3178: 3176: 3175: 3170: 3169: 3168: 3155: 3153: 3147: 3146: 3144: 3143: 3142: 3141: 3136: 3131: 3126: 3121: 3113: 3108: 3107: 3106: 3101: 3091: 3086: 3081: 3080: 3079: 3072: 3065: 3052: 3050: 3041: 3037: 3036: 3034: 3033: 3032: 3031: 3021: 3020: 3019: 3014: 3004: 2999: 2994: 2989: 2984: 2978: 2976: 2972: 2971: 2969: 2968: 2966:List of events 2963: 2962: 2961: 2956: 2946: 2941: 2940: 2939: 2928: 2926: 2922: 2921: 2919: 2918: 2917: 2916: 2911: 2906: 2901: 2896: 2886: 2885: 2884: 2879: 2874: 2869: 2864: 2854: 2853: 2852: 2841: 2839: 2835: 2834: 2832: 2831: 2826: 2821: 2815: 2813: 2807: 2806: 2803: 2802: 2800: 2799: 2794: 2789: 2783: 2781: 2777: 2776: 2774: 2773: 2768: 2763: 2757: 2755: 2748: 2742: 2741: 2738: 2737: 2735: 2734: 2729: 2724: 2718: 2716: 2712: 2711: 2709: 2708: 2703: 2698: 2696:Eye protectors 2693: 2692: 2691: 2686: 2681: 2670: 2668: 2664: 2663: 2661: 2660: 2655: 2650: 2644: 2642: 2635: 2631: 2630: 2627: 2626: 2624: 2623: 2618: 2613: 2608: 2603: 2597: 2595: 2591: 2590: 2588: 2587: 2582: 2577: 2572: 2567: 2561: 2559: 2555: 2554: 2552: 2551: 2550: 2549: 2544: 2533: 2531: 2521: 2520: 2518: 2517: 2512: 2507: 2502: 2496: 2494: 2481: 2477: 2476: 2474: 2473: 2468: 2462: 2459: 2458: 2453: 2451: 2450: 2443: 2436: 2428: 2419: 2418: 2416: 2415: 2410: 2405: 2400: 2395: 2390: 2385: 2380: 2374: 2372: 2368: 2367: 2365: 2364: 2359: 2354: 2349: 2344: 2339: 2334: 2329: 2323: 2321: 2310: 2309: 2304: 2302: 2301: 2294: 2287: 2279: 2272: 2271: 2249:Deutscher, Guy 2240: 2214: 2195: 2183: 2162:"The Dikpalas" 2152: 2119: 2086: 2046: 2040: 2016: 1987: 1958: 1949: 1935:(3): 339–342. 1915: 1884: 1845: 1816: 1788: 1779: 1767: 1755: 1743: 1731: 1719: 1694: 1667: 1637: 1607: 1591: 1589: 1586: 1585: 1584: 1579: 1574: 1569: 1563: 1557: 1552: 1546: 1537: 1532: 1526: 1520: 1515: 1507: 1504: 1483:, also in the 1456: 1453: 1447:spoken by the 1403:Malay language 1314: 1311: 1276: 1273: 1248: 1245: 1220: 1217: 1178: 1175: 1174: 1173: 1167: 1161: 1142: 1141: 1139:Black Ruthenia 1136: 1131: 1118: 1112: 1086: 1085: 1080: 1075: 1073:White Ruthenia 1070: 1064: 1050: 1037: 1019: 1018: 1013: 1008: 1002: 997: 978: 977: 972: 947: 946: 897: 895: 888: 882: 879: 816: 815: 813: 811: 809: 807: 805: 803: 797: 796: 794: 791: 789: 787: 785: 783: 777: 776: 774: 772: 770: 768: 766: 764: 758: 757: 755: 753: 751: 749: 747: 745: 739: 738: 736: 734: 732: 730: 728: 726: 720: 719: 717: 714: 712: 710: 708: 706: 700: 699: 696: 693: 690: 687: 684: 681: 674: 671: 656:primary colors 652:natural colors 607: 604: 603: 602: 547: 523: 495: 467:Proto-Germanic 453:with west and 449:) with south, 441:) with north, 414: 411: 367: 364: 297: 294: 289: 288: 285: 282: 279: 271: 268: 267: 266: 265:West (W): 270° 263: 260: 257: 210:Main article: 207: 204: 196: 193: 154: 146: 144: 141: 125: 124: 121: 118: 115: 112: 109: 106: 103: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3274: 3263: 3260: 3259: 3257: 3242: 3234: 3232: 3224: 3223: 3220: 3210: 3207: 3206: 3204: 3202: 3198: 3192: 3189: 3188: 3186: 3184: 3180: 3174: 3171: 3166: 3162: 3161: 3160: 3157: 3156: 3154: 3152: 3148: 3140: 3137: 3135: 3132: 3130: 3127: 3125: 3122: 3120: 3117: 3116: 3114: 3112: 3109: 3105: 3102: 3100: 3097: 3096: 3095: 3092: 3090: 3087: 3085: 3082: 3077: 3073: 3070: 3066: 3063: 3059: 3058: 3057: 3054: 3053: 3051: 3049: 3045: 3042: 3038: 3030: 3027: 3026: 3025: 3022: 3018: 3015: 3013: 3010: 3009: 3008: 3005: 3003: 3000: 2998: 2995: 2993: 2990: 2988: 2985: 2983: 2980: 2979: 2977: 2973: 2967: 2964: 2960: 2957: 2955: 2952: 2951: 2950: 2947: 2945: 2944:List of clubs 2942: 2938: 2935: 2934: 2933: 2930: 2929: 2927: 2923: 2915: 2912: 2910: 2907: 2905: 2902: 2900: 2897: 2895: 2892: 2891: 2890: 2887: 2883: 2880: 2878: 2875: 2873: 2870: 2868: 2865: 2863: 2860: 2859: 2858: 2855: 2851: 2848: 2847: 2846: 2843: 2842: 2840: 2836: 2830: 2827: 2825: 2822: 2820: 2817: 2816: 2814: 2812: 2808: 2798: 2795: 2793: 2790: 2788: 2785: 2784: 2782: 2778: 2772: 2771:SportSoftware 2769: 2767: 2764: 2762: 2759: 2758: 2756: 2752: 2749: 2747: 2743: 2733: 2730: 2728: 2725: 2723: 2720: 2719: 2717: 2713: 2707: 2704: 2702: 2699: 2697: 2694: 2690: 2687: 2685: 2682: 2680: 2677: 2676: 2675: 2672: 2671: 2669: 2665: 2659: 2656: 2654: 2651: 2649: 2648:Control point 2646: 2645: 2643: 2639: 2636: 2632: 2622: 2619: 2617: 2614: 2612: 2609: 2607: 2606:Alleycat race 2604: 2602: 2599: 2598: 2596: 2592: 2586: 2583: 2581: 2578: 2576: 2573: 2571: 2568: 2566: 2563: 2562: 2560: 2556: 2548: 2545: 2543: 2540: 2539: 2538: 2535: 2534: 2532: 2530: 2526: 2522: 2516: 2513: 2511: 2508: 2506: 2503: 2501: 2498: 2497: 2495: 2493: 2489: 2485: 2482: 2478: 2472: 2469: 2467: 2464: 2463: 2460: 2456: 2449: 2444: 2442: 2437: 2435: 2430: 2429: 2426: 2414: 2411: 2409: 2406: 2404: 2401: 2399: 2396: 2394: 2391: 2389: 2386: 2384: 2381: 2379: 2376: 2375: 2373: 2369: 2363: 2360: 2358: 2355: 2353: 2350: 2348: 2345: 2343: 2340: 2338: 2335: 2333: 2330: 2328: 2325: 2324: 2322: 2319: 2315: 2311: 2307: 2300: 2295: 2293: 2288: 2286: 2281: 2280: 2277: 2260: 2259: 2254: 2250: 2244: 2241: 2237: 2233: 2229: 2225: 2218: 2215: 2212: 2208: 2205: 2199: 2196: 2192: 2187: 2184: 2171: 2167: 2163: 2156: 2153: 2148: 2142: 2134: 2130: 2123: 2120: 2116: 2104: 2100: 2096: 2090: 2087: 2083: 2070: 2066: 2065: 2060: 2056: 2050: 2047: 2043: 2041:3-87808-081-6 2037: 2033: 2029: 2023: 2021: 2017: 2013: 2011: 2007: 2003: 1999: 1995: 1990: 1984: 1980: 1975: 1974: 1965: 1963: 1959: 1953: 1950: 1946: 1944: 1940: 1934: 1930: 1926: 1919: 1916: 1903: 1899: 1893: 1891: 1889: 1885: 1880: 1876: 1870: 1866: 1860: 1856: 1849: 1846: 1833: 1829: 1823: 1821: 1817: 1805: 1801: 1795: 1793: 1789: 1783: 1780: 1777: 1771: 1768: 1765: 1759: 1756: 1753: 1747: 1744: 1741: 1735: 1732: 1729: 1723: 1720: 1716: 1712: 1708: 1704: 1698: 1695: 1682: 1678: 1671: 1668: 1664: 1660: 1656: 1652: 1648: 1641: 1638: 1625: 1621: 1619: 1611: 1608: 1605: 1602: 1596: 1593: 1587: 1583: 1580: 1578: 1575: 1573: 1570: 1567: 1564: 1561: 1558: 1556: 1553: 1550: 1547: 1545: 1541: 1538: 1536: 1533: 1530: 1527: 1524: 1521: 1519: 1516: 1513: 1510: 1509: 1505: 1503: 1501: 1496: 1494: 1490: 1486: 1482: 1478: 1474: 1470: 1466: 1462: 1454: 1452: 1450: 1446: 1442: 1441:Hopi language 1437: 1435: 1430: 1428: 1424: 1420: 1416: 1412: 1408: 1404: 1400: 1396: 1392: 1391:yamato kotoba 1388: 1384: 1381:(southeast), 1380: 1377:(northeast), 1376: 1372: 1368: 1365:(southeast), 1364: 1361:(northeast), 1360: 1356: 1352: 1348: 1344: 1340: 1336: 1332: 1324: 1319: 1312: 1310: 1307: 1305: 1300: 1298: 1294: 1290: 1286: 1282: 1274: 1272: 1270: 1266: 1262: 1258: 1254: 1253:Hindu deities 1246: 1244: 1242: 1238: 1234: 1230: 1229:North America 1226: 1218: 1216: 1214: 1210: 1206: 1205: 1200: 1196: 1192: 1188: 1184: 1176: 1171: 1168: 1165: 1162: 1159: 1156: 1155: 1154: 1153: 1149: 1146: 1140: 1137: 1135: 1132: 1130: 1126: 1122: 1119: 1116: 1113: 1111: 1107: 1103: 1100: 1099: 1098: 1097: 1093: 1090: 1084: 1083:White Croatia 1081: 1079: 1076: 1074: 1071: 1068: 1065: 1062: 1058: 1054: 1051: 1049: 1045: 1041: 1038: 1036: 1033: 1032: 1031: 1030: 1026: 1023: 1017: 1014: 1012: 1009: 1006: 1003: 1001: 998: 995: 992: 991: 990: 989: 985: 982: 976: 975:Green Ukraine 973: 970: 967: 966: 965: 964: 960: 956: 953: 943: 940: 932: 929:November 2019 922: 918: 914: 908: 907: 903: 898:This section 896: 892: 887: 886: 880: 878: 876: 871: 869: 865: 861: 858:and the five 857: 853: 849: 845: 841: 837: 832: 830: 826: 822: 821:Central Asian 814: 812: 810: 808: 806: 804: 802: 799: 798: 795: 790: 788: 786: 784: 782: 779: 778: 775: 773: 771: 769: 767: 765: 763: 760: 759: 756: 754: 752: 750: 748: 746: 744: 741: 740: 737: 735: 733: 731: 729: 727: 725: 722: 721: 718: 713: 711: 709: 707: 705: 702: 701: 697: 679: 678: 672: 670: 668: 664: 659: 657: 653: 649: 644: 642: 641: 636: 632: 628: 623: 621: 617: 613: 605: 600: 599: 594: 593: 588: 587: 583: 582:Ancient Greek 579: 578: 573: 572: 567: 563: 559: 555: 551: 548: 545: 544: 539: 535: 531: 527: 524: 521: 520: 515: 511: 507: 503: 499: 496: 493: 492: 487: 486:Ancient Greek 483: 479: 475: 471: 468: 464: 461: 460: 459: 456: 452: 448: 444: 440: 436: 432: 428: 424: 420: 412: 410: 408: 403: 401: 397: 393: 389: 385: 381: 377: 373: 365: 363: 361: 357: 353: 352:contour lines 349: 345: 342: 338: 334: 330: 326: 322: 318: 314: 310: 306: 302: 295: 293: 286: 283: 280: 277: 276: 275: 269: 264: 261: 259:East (E): 90° 258: 255: 254: 253: 251: 247: 243: 239: 235: 231: 227: 223: 219: 213: 205: 202: 194: 189: 185: 181: 177: 173: 169: 165: 161: 157: 151: 143:Determination 142: 140: 139:angle value. 138: 134: 130: 122: 119: 116: 113: 110: 107: 104: 101: 100: 99: 97: 93: 89: 84: 82: 78: 74: 70: 66: 62: 58: 54: 46: 41: 37: 33: 19: 3115:Open events 3040:Competitions 2872:route choice 2861: 2838:Fundamentals 2611:Fell running 2558:Other sports 2455:Orienteering 2313: 2262:. Retrieved 2256: 2243: 2227: 2217: 2198: 2190: 2186: 2174:. Retrieved 2165: 2155: 2132: 2128: 2122: 2114: 2107:, retrieved 2102: 2089: 2080: 2073:, retrieved 2063: 2049: 2031: 2009: 2005: 2001: 1997: 1993: 1992: 1972: 1952: 1942: 1938: 1936: 1932: 1928: 1918: 1906:. Retrieved 1878: 1874: 1858: 1848: 1836:. Retrieved 1832:the original 1808:. Retrieved 1804:the original 1782: 1770: 1758: 1746: 1734: 1722: 1714: 1710: 1706: 1702: 1697: 1685:. Retrieved 1670: 1662: 1650: 1646: 1640: 1628:. Retrieved 1617: 1610: 1600: 1595: 1566:Orienteering 1497: 1491:languages). 1458: 1445:Tewa dialect 1438: 1431: 1426: 1422: 1418: 1414: 1410: 1406: 1398: 1394: 1386: 1382: 1378: 1374: 1370: 1366: 1362: 1358: 1354: 1350: 1346: 1328: 1308: 1301: 1278: 1250: 1222: 1202: 1198: 1194: 1190: 1186: 1182: 1180: 1177:Arabic world 1170:Golden Horde 1144: 1143: 1102:Heilongjiang 1088: 1087: 1078:White Serbia 1060: 1021: 1020: 1000:Red Ruthenia 980: 979: 951: 950: 935: 926: 911:Please help 899: 872: 833: 819: 666: 660: 645: 638: 624: 609: 596: 590: 584: 575: 569: 561: 557: 553: 549: 541: 537: 533: 529: 525: 517: 513: 509: 501: 497: 489: 481: 477: 469: 462: 454: 451:occidentalis 450: 447:meridionalis 446: 442: 438: 434: 416: 404: 388:great circle 375: 369: 366:In astronomy 304: 300: 299: 290: 273: 242:trigonometry 238:navigational 217: 215: 131:. Arbitrary 126: 96:compass rose 91: 87: 85: 83:direction. 63:directions: 56: 52: 50: 45:compass rose 36: 3241:WikiProject 3089:World Games 2811:Video games 2780:Open-source 2754:Proprietary 2722:Backpacking 1838:17 February 1687:15 November 1630:22 February 1599:U.S. Army, 1413:) or west ( 1225:Mesoamerica 1108:, also the 1011:Red Croatia 646:Particular 472:) from the 417:During the 230:unit circle 176:gyrocompass 3104:University 3076:University 3029:wilderness 3012:geocaching 2959:innovators 2954:by country 2877:wayfinding 2857:Navigation 2792:Purple Pen 2715:Exceptions 2684:protractor 2616:Relay race 2378:Tramontane 2320:directions 1859:Arthuriana 1810:2007-02-17 1588:References 1529:Geocaching 1423:barat daya 1333:, such as 1233:indigenous 1215:, Spain). 1183:Ash Shamal 1110:Amur River 1094:; Winter; 1027:; Autumn; 986:; Summer; 627:pre-modern 598:Hesperides 455:orientalis 199:See also: 164:wayfinding 160:navigation 3173:World Cup 3084:World Cup 3017:poker run 2867:resection 2634:Equipment 2585:Rogaining 2542:Fox Oring 2362:Northwest 2352:Southwest 2342:Southeast 2332:Northeast 2264:31 August 2236:716671864 2176:12 August 2109:22 August 2075:23 August 2002:kwiningya 1937:In Ainu 1663:rigge1918 1544:Longitude 1523:Elevation 1449:Hopi-Tewa 1405:, adding 1375:koillinen 1347:northeast 1331:languages 1195:Al Janoob 1191:Ash Sharq 1158:Huangshan 1125:Black Sea 1121:Karadeniz 1063:("white") 900:does not 534:sĂș-n-to-s 443:australis 372:astronomy 313:elevation 250:receivers 232:over the 228:) in the 81:clockwise 51:The four 3256:Category 3231:Category 3119:O-Ringen 2992:Climbing 2882:waypoint 2746:Software 2706:Headlamp 2667:Personal 2529:governed 2492:governed 2403:Libeccio 2314:Cardinal 2207:Archived 2170:Archived 2141:citation 2097:(1897), 2069:archived 2064:The Hopi 2057:(1922), 2030:(1979), 1902:Archived 1681:Archived 1624:Archived 1540:Latitude 1506:See also 1461:European 1443:and the 1427:tenggara 1335:Estonian 1329:In some 1269:Sanskrit 1257:Dikpālas 1213:AxarquĂ­a 1204:wilayahs 1199:Al Wusta 1193:(E) and 1187:Al Gharb 1164:Huang He 1005:Red Jews 881:Examples 592:Hesperus 580:and the 435:borealis 423:Germanic 317:altitude 218:azimuths 180:Sun path 3129:Tiomila 3069:Masters 3002:Hunting 2937:members 2904:walking 2899:running 2732:Whistle 2701:Gaiters 2674:Compass 2594:Related 2413:Mistral 2408:Ponente 2393:Sirocco 2383:Gregale 2318:ordinal 2226:(ed.), 2082:points. 2061:(ed.), 2010:taavang 1655:Bibcode 1653:: 373. 1339:Finnish 1239:of the 1209:Algarve 1145:Center: 1129:Turkish 1067:Belarus 1048:Turkish 1040:Akdeniz 1016:Red Sea 969:Qingdao 921:removed 906:sources 856:Wu Xing 852:I Ching 844:Tibetan 781:Kalmyks 698:Source 640:Sirocco 554:*wes-t- 510:austo-s 502:*aus-t- 478:nĂłrto-s 390:on the 226:degrees 212:Azimuth 206:Azimuth 184:sundial 168:compass 137:azimuth 61:compass 3165:Junior 3124:Jukola 3062:Junior 2997:Hiking 2909:skiing 2894:hiking 2889:Racing 2766:Condes 2653:Course 2388:Levant 2234:  2038:  2006:tatkya 1985:  1939:siwnin 1908:16 May 1881:: 486. 1869:Mo-tun 1473:Hawaii 1399:tƍ-nan 1395:minami 1383:lounas 1379:kaakko 1343:Breton 1148:Yellow 1089:North: 1057:Baltic 981:South: 854:, the 840:Turkic 762:Turkic 704:Slavic 648:colors 620:Anemoi 586:Hestia 571:vesper 568:words 558:uestos 530:*sunĂŸ- 519:Ēostre 491:Nereus 470:*norĂŸ- 433:names 421:, the 378:of an 374:, the 248:(GPS) 220:, the 75:, and 3099:Youth 2689:thumb 2641:Event 2398:Ostro 2347:South 2327:North 1493:Lengo 1489:Karuk 1485:Yurok 1481:Egypt 1467:(see 1415:barat 1411:timur 1387:luode 1359:kirre 1351:north 1279:Some 1247:India 1189:(W), 1185:(N), 1152:Earth 1096:Water 1092:Black 1061:balt- 1053:Balts 1029:Metal 1025:White 1022:West: 955:Green 952:East: 801:Tibet 724:China 612:winds 577:vesta 566:Latin 526:south 488:name 463:north 431:Latin 329:south 325:north 321:depth 69:south 65:north 55:, or 2797:MeOS 2761:OCAD 2679:hand 2525:IARU 2357:West 2337:East 2316:and 2266:2010 2232:OCLC 2178:2018 2147:link 2111:2022 2077:2014 2036:ISBN 1998:hoop 1983:ISBN 1910:2010 1840:2007 1689:2013 1632:2019 1542:and 1487:and 1477:Bali 1463:and 1419:daya 1407:laut 1367:edel 1363:kagu 1355:east 1353:and 1341:and 1265:down 1263:and 1251:Ten 1237:Hopi 1227:and 988:Fire 963:Wood 904:any 902:cite 848:Ainu 846:and 827:and 743:Ainu 663:Asia 595:and 574:and 562:aues 550:west 514:aues 506:dawn 498:east 482:ner- 445:(or 437:(or 400:limb 337:west 335:and 333:east 327:and 224:(in 162:and 86:The 77:west 73:east 2845:Map 2658:Map 2488:IOF 1371:loe 1299:.) 1223:In 1127:in 1046:in 984:Red 915:by 625:In 543:Sun 538:seu 370:In 323:): 303:or 174:or 3258:: 2255:. 2168:. 2164:. 2143:}} 2139:{{ 2131:, 2113:, 2101:, 2079:, 2019:^ 1991:, 1961:^ 1943:hu 1933:48 1931:. 1927:. 1900:. 1887:^ 1879:34 1877:. 1867:, 1857:. 1819:^ 1791:^ 1679:. 1661:. 1651:26 1649:. 1475:, 1429:. 1337:, 1306:. 1271:. 1261:up 1150:; 1055:, 842:, 823:, 793:— 716:— 669:. 658:. 622:. 589:, 362:. 346:. 331:, 319:, 315:, 71:, 67:, 43:A 2527:- 2490:- 2447:e 2440:t 2433:v 2298:e 2291:t 2284:v 2268:. 2180:. 2149:) 2133:5 2012:. 1912:. 1842:. 1813:. 1691:. 1657:: 1634:. 1325:. 959:青 957:( 942:) 936:( 931:) 927:( 923:. 909:. 695:C 692:W 689:S 686:E 683:N 601:. 552:( 528:( 522:. 500:( 494:. 476:* 465:( 311:( 190:. 170:( 152:. 34:. 20:)

Index

Ordinal direction
Cardinal point (disambiguation)

compass rose
compass
north
south
east
west
clockwise
compass rose
points of the compass
horizontal directions
azimuth
Direction determination
Direction determination
navigation
wayfinding
compass
magnetic compass
gyrocompass
Sun path
sundial
satellite navigation
Points of the compass § Compass points
Azimuth
angle of rotation
degrees
unit circle
horizontal plane

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

↑