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Lambert cylindrical equal-area projection

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Lambert's projection is the basis for the cylindrical equal-area projection family. Lambert chose the equator as the parallel of no distortion. By multiplying the projection's height by some factor and dividing the width by the same factor, the regions of no distortion can be moved to any desired
195: 71:, but distortion increases rapidly towards the poles. Like any cylindrical projection, it stretches parallels increasingly away from the equator. The poles accrue infinite distortion, becoming lines instead of points. 131: 697: 320: 126: 1464: 1439: 354: 1057: 853: 843: 763: 237: 848: 429: 295: 68: 858: 659: 242: 991: 981: 976: 951: 943: 604: 530: 487: 482: 457: 449: 60: 35: 1382: 1179: 1106: 1062: 758: 1227: 1174: 1335: 1304: 878: 727: 505: 434: 1419: 1387: 1237: 868: 692: 525: 515: 347: 1377: 1091: 745: 654: 1367: 1317: 1280: 1047: 740: 589: 439: 961: 467: 112: 19: 1252: 1096: 687: 520: 510: 115:, are more commonly encountered in maps than Lambert’s original projection due to their lower distortion overall. 1232: 617: 31:
Lambert cylindrical equal-area projection of the world, central meridian at 160°W to focus the map on the oceans.
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Interactive Data Visualization: Foundations, Techniques, and Applications, Second Edition
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pair of parallels north and south of the equator. These variations, particularly the
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Notes and Comments on the Composition of Terrestrial and Celestial Maps
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Anmerkungen und Zusätze zur Entwerfung der Land- und Himmelscharten
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Ward, Matthew O.; Grinstein, Georges; Keim, Daniel (2015).
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Table of examples and properties of all common projections
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Beiträge zum Gebrauche der Mathematik und deren Anwendung
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Lambert cylindrical equal-area projection of the world
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This projection is undistorted along the 1405: 1300: 1215: 1202: 893: 831: 818: 723: 554: 416: 407: 394: 355: 341: 333: 83:How the Earth is projected onto a cylinder 1440:Map projection of the tri-axial ellipsoid 321:Lambert cylindrical equal-area projection 154: 130: 128: 53:Lambert cylindrical equal-area projection 262: 260: 258: 254: 238:Lambert azimuthal equal-area projection 16:Cylindrical equal-area map projection 7: 95:and described in his 1772 treatise, 87:The projection was invented by the 1465:Cylindrical equal-area projections 243:Lambert conformal conic projection 14: 270:Map Projections: a Working Manual 61:cylindrical equal-area projection 1383:Quadrilateralized spherical cube 1063:Quadrilateralized spherical cube 314: 290:. CRC Press. pp. 226–227. 972:Lambert cylindrical equal-area 57:Lambert cylindrical projection 1: 1420:Interruption (map projection) 329:, from radicalcartography.net 1058:Lambert azimuthal equal-area 854:Guyou hemisphere-in-a-square 844:Adams hemisphere-in-a-square 1481: 267:Snyder, John Parr (1987). 1415: 1404: 1331: 1214: 1201: 1013: 830: 817: 754: 613: 496: 406: 393: 370: 223:is the central meridian. 859:Lambert conformal conic 233:List of map projections 99:, part III, section 6: 93:Johann Heinrich Lambert 992:Tobler hyperelliptical 605:Tobler hyperelliptical 531:Space-oblique Mercator 191: 113:Gall–Peters projection 84: 44: 32: 24: 192: 82: 38: 30: 22: 1368:Cahill–Keyes M-shape 1228:Chamberlin trimetric 323:at Wikimedia Commons 127: 1435:Tissot's indicatrix 1336:Central cylindrical 977:Smyth equal-surface 879:Transverse Mercator 728:General perspective 483:Smyth equal-surface 435:Transverse Mercator 41:Tissot's indicatrix 1388:Waterman butterfly 1238:Miller cylindrical 869:Peirce quincuncial 764:Lambert equal-area 516:Gall stereographic 187: 185: 85: 45: 33: 25: 1452: 1451: 1448: 1447: 1400: 1399: 1396: 1395: 1344: 1343: 1197: 1196: 1193: 1192: 1076: 1075: 813: 812: 809: 808: 772: 771: 660:Lambert conformal 636: 635: 550:Pseudocylindrical 544: 543: 319:Media related to 297:978-1-4822-5738-0 103:, translated as, 69:standard parallel 1472: 1406: 1363:Cahill Butterfly 1301: 1281:Goode homolosine 1216: 1203: 1168: 1167:(Mecca or Qibla) 1048:Goode homolosine 894: 832: 819: 724: 719: 590:Goode homolosine 555: 440:Oblique Mercator 417: 408: 395: 357: 350: 343: 334: 318: 302: 301: 281: 275: 274: 264: 196: 194: 193: 188: 186: 159: 158: 1480: 1479: 1475: 1474: 1473: 1471: 1470: 1469: 1455: 1454: 1453: 1444: 1411: 1392: 1340: 1327: 1290: 1267: 1253:Van der Grinten 1210: 1208:By construction 1189: 1166: 1165: 1157: 1134: 1116: 1097:Equirectangular 1083: 1072: 1009: 986: 982:Trystan Edwards 938: 915: 883: 826: 805: 778:Pseudoazimuthal 768: 750: 717: 716: 709: 664: 632: 628:Winkel I and II 609: 540: 521:Gall isographic 511:Equirectangular 492: 488:Trystan Edwards 444: 402: 389: 366: 361: 311: 306: 305: 298: 283: 282: 278: 266: 265: 256: 251: 229: 222: 184: 183: 167: 161: 160: 150: 137: 125: 124: 121: 77: 67:, which is its 17: 12: 11: 5: 1478: 1476: 1468: 1467: 1457: 1456: 1450: 1449: 1446: 1445: 1443: 1442: 1437: 1432: 1427: 1422: 1416: 1413: 1412: 1409: 1402: 1401: 1398: 1397: 1394: 1393: 1391: 1390: 1385: 1380: 1375: 1370: 1365: 1360: 1354: 1352: 1346: 1345: 1342: 1341: 1339: 1338: 1332: 1329: 1328: 1326: 1325: 1320: 1315: 1309: 1307: 1298: 1292: 1291: 1289: 1288: 1283: 1277: 1275: 1269: 1268: 1266: 1265: 1260: 1255: 1250: 1245: 1240: 1235: 1233:Kavrayskiy VII 1230: 1224: 1222: 1212: 1211: 1206: 1199: 1198: 1195: 1194: 1191: 1190: 1188: 1187: 1182: 1177: 1171: 1169: 1163:Retroazimuthal 1159: 1158: 1156: 1155: 1150: 1144: 1142: 1136: 1135: 1133: 1132: 1126: 1124: 1118: 1117: 1115: 1114: 1109: 1104: 1099: 1094: 1088: 1086: 1082:Equidistant in 1078: 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100: 96: 86: 56: 52: 46: 1296:Perspective 1084:some aspect 1068:Strebe 1995 1043:Equal Earth 962:Gall–Peters 944:Cylindrical 759:Equidistant 655:Equidistant 585:Equal Earth 468:Gall–Peters 412:Cylindrical 49:cartography 1358:AuthaGraph 1350:Polyhedral 1220:Compromise 1148:Loximuthal 1140:Loxodromic 1102:Sinusoidal 952:Balthasart 929:Sinusoidal 906:Sinusoidal 889:Equal-area 600:Sinusoidal 558:Equal-area 458:Balthasart 450:Equal-area 423:-conformal 400:By surface 249:References 1430:Longitude 1258:Wagner VI 1107:Two-point 1038:Eckert VI 1033:Eckert IV 1028:Eckert II 1005:Mollweide 1000:Collignon 967:Hobo–Dyer 921:Bottomley 836:Conformal 824:By metric 715:Azimuthal 688:Polyconic 683:Bottomley 623:Wagner VI 595:Mollweide 580:Eckert VI 575:Eckert IV 570:Eckert II 565:Collignon 473:Hobo–Dyer 214:longitude 181:φ 178:⁡ 152:λ 148:− 145:λ 1459:Category 1425:Latitude 1410:See also 1373:Dymaxion 1313:Gnomonic 1248:Robinson 1153:Mercator 1130:Gnomonic 1122:Gnomonic 957:Behrmann 864:Mercator 736:Gnomonic 718:(planar) 693:American 463:Behrmann 421:Mercator 227:See also 206:latitude 119:Formulae 1286:HEALPix 1185:Littrow 796:Wiechel 698:Chinese 642:Conical 506:Central 501:Cassini 478:Lambert 375:History 212:is the 204:is the 75:History 65:equator 59:, is a 1305:Planar 1273:Hybrid 1180:Hammer 1112:Werner 1053:Hammer 1018:Albers 934:Werner 911:Werner 791:Hammer 786:Aitoff 705:Werner 650:Albers 526:Miller 385:Portal 294:  200:where 51:, the 1175:Craig 1092:Conic 898:Bonne 678:Bonne 89:Swiss 55:, or 1378:ISEA 380:List 292:ISBN 216:and 175:sin 47:In 1461:: 257:^ 208:, 107:. 356:e 349:t 342:v 300:. 221:0 218:λ 210:λ 202:φ 172:= 165:y 156:0 142:= 135:x

Index




Tissot's indicatrix
cartography
cylindrical equal-area projection
equator
standard parallel

Swiss
Johann Heinrich Lambert
Gall–Peters projection
latitude
longitude
List of map projections
Lambert azimuthal equal-area projection
Lambert conformal conic projection



Map Projections: a Working Manual
Interactive Data Visualization: Foundations, Techniques, and Applications, Second Edition
ISBN
978-1-4822-5738-0

Lambert cylindrical equal-area projection
Table of examples and properties of all common projections
v
t
e

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