32:
20:
67:, whose construction method is sometimes erroneously described equivalently to the central cylindrical's. The scale becomes infinite at the poles. It is not known who first developed the projection, but it appeared with other new cylindrical projections in the 19th century, and regularly finds its way into textbooks, chiefly to illustrate that this is not the way the Mercator is constructed. As with any cylindrical projection, the construction can be generalized by positioning the cylinder to be tangent to a
62:
The projection is neither conformal nor equal-area. Distortion increases so rapidly away from the equator that the central cylindrical is only used as an easily understood illustration of projection, rather than for practical maps. Its vertical stretching is even greater than that of the
180:
78:, where it is usually called the "cylindrical projection". It can present a full 360° panorama and preserves vertical lines. Unlike other cylindrical projections, it gives correct perspective for tall objects, an important trait for architectural scenes.
94:
89:
645:
35:
The central cylindrical projection formed on photographic film wrapped around a semitransparent globe by shadows cast from a light at its middle
23:
The central cylindrical projection with a 15° graticule, approximately to latitude ±72°. Distortion is noticeably worse than that of the
1387:
919:
425:
302:
1005:
801:
791:
711:
929:
924:
899:
771:
435:
430:
405:
796:
377:
806:
607:
939:
891:
552:
478:
397:
259:
1412:
1330:
1127:
1054:
1010:
706:
1175:
1122:
175:{\displaystyle {\begin{aligned}x&=R\left(\lambda -\lambda _{0}\right),\\y&=R\tan \varphi .\end{aligned}}}
1252:
826:
675:
382:
1367:
1335:
1185:
816:
640:
473:
463:
295:
1325:
1039:
693:
602:
1315:
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387:
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468:
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415:
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565:
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1190:
970:
914:
821:
783:
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288:
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327:
225:
55:
as if from a light source at Earth's center. The cylinder is then cut along one of the projected
1382:
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322:
1155:
1110:
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876:
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75:
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359:
56:
44:
1297:
1087:
8:
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410:
368:
220:
64:
48:
24:
1069:
1132:
743:
589:
448:
31:
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19:
1059:
1000:
965:
881:
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738:
733:
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255:
845:
625:
311:
1406:
1320:
68:
332:
1377:
1372:
1233:
280:
52:
274:, Irving Fisher and O. M. Miller, Essential Books, 1944, p. 46.
254:, John P. Snyder, Chicago University Press, 1993, pp. 106–107,
252:
Flattening the Earth: Two
Thousand Years of Map Projections
47:. It corresponds to projecting the Earth's surface onto a
92:
674:
174:
1404:
203:is the longitude of the central meridian; and
296:
188:denotes the radius of the generating globe;
265:
303:
289:
1388:Map projection of the tri-axial ellipsoid
505:
247:
245:
243:
241:
30:
18:
1405:
71:of the globe that is not the equator.
16:Cylindrical perspective map projection
1356:
1251:
1153:
769:
345:
284:
238:
74:This projection has prominent use in
1154:
13:
310:
14:
1424:
1331:Quadrilateralized spherical cube
1011:Quadrilateralized spherical cube
920:Lambert cylindrical equal-area
346:
59:and unrolled into a flat map.
41:central cylindrical projection
1:
1368:Interruption (map projection)
770:
231:
1357:
1006:Lambert azimuthal equal-area
802:Guyou hemisphere-in-a-square
792:Adams hemisphere-in-a-square
211:are the mapped coordinates.
7:
214:
81:
10:
1429:
45:cylindrical map projection
1363:
1352:
1296:
1279:
1242:
1219:
1166:
1162:
1149:
1109:
1086:
1068:
1028:
961:
938:
890:
867:
844:
835:
782:
778:
765:
724:
702:
661:
616:
588:
561:
496:
444:
396:
367:
358:
354:
341:
318:
1413:Cylindrical projections
807:Lambert conformal conic
226:List of map projections
940:Tobler hyperelliptical
553:Tobler hyperelliptical
479:Space-oblique Mercator
176:
36:
28:
272:World Maps and Globes
177:
76:panoramic photography
34:
22:
1316:Cahill–Keyes M-shape
1176:Chamberlin trimetric
90:
1383:Tissot's indicatrix
1284:Central cylindrical
925:Smyth equal-surface
827:Transverse Mercator
676:General perspective
431:Smyth equal-surface
383:Transverse Mercator
221:Gnomonic projection
65:Mercator projection
25:Mercator projection
1336:Waterman butterfly
1186:Miller cylindrical
817:Peirce quincuncial
712:Lambert equal-area
464:Gall stereographic
196:is the longitude;
172:
170:
37:
29:
1400:
1399:
1396:
1395:
1348:
1347:
1344:
1343:
1292:
1291:
1145:
1144:
1141:
1140:
1024:
1023:
761:
760:
757:
756:
720:
719:
608:Lambert conformal
584:
583:
498:Pseudocylindrical
492:
491:
192:is the latitude;
43:is a perspective
1420:
1354:
1353:
1311:Cahill Butterfly
1249:
1248:
1229:Goode homolosine
1164:
1163:
1151:
1150:
1116:
1115:(Mecca or Qibla)
996:Goode homolosine
842:
841:
780:
779:
767:
766:
672:
671:
667:
538:Goode homolosine
503:
502:
388:Oblique Mercator
365:
364:
356:
355:
343:
342:
305:
298:
291:
282:
281:
275:
269:
263:
249:
181:
179:
178:
173:
171:
135:
131:
130:
129:
1428:
1427:
1423:
1422:
1421:
1419:
1418:
1417:
1403:
1402:
1401:
1392:
1359:
1340:
1288:
1275:
1238:
1215:
1201:Van der Grinten
1158:
1156:By construction
1137:
1114:
1113:
1105:
1082:
1064:
1045:Equirectangular
1031:
1020:
957:
934:
930:Trystan Edwards
886:
863:
831:
774:
753:
726:Pseudoazimuthal
716:
698:
665:
664:
657:
612:
580:
576:Winkel I and II
557:
488:
469:Gall isographic
459:Equirectangular
440:
436:Trystan Edwards
392:
350:
337:
314:
309:
279:
278:
270:
266:
250:
239:
234:
217:
202:
169:
168:
146:
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125:
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114:
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100:
93:
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88:
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84:
51:tangent to the
17:
12:
11:
5:
1426:
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1183:
1181:Kavrayskiy VII
1178:
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1136:
1135:
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1125:
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1117:
1111:Retroazimuthal
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1103:
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1030:Equidistant in
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566:Kavrayskiy VII
562:
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312:Map projection
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15:
9:
6:
4:
3:
2:
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1271:Stereographic
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1212:
1211:Winkel tripel
1209:
1207:
1204:
1202:
1199:
1197:
1194:
1192:
1191:Natural Earth
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1177:
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1017:
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1002:
999:
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994:
992:
989:
987:
984:
982:
979:
977:
974:
972:
971:Briesemeister
969:
967:
964:
963:
960:
954:
951:
949:
946:
945:
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857:
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852:
851:
849:
847:
843:
840:
838:
834:
828:
825:
823:
822:Stereographic
820:
818:
815:
813:
810:
808:
805:
803:
800:
798:
795:
793:
790:
789:
787:
785:
781:
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773:
768:
764:
750:
749:Winkel tripel
747:
745:
742:
740:
737:
735:
732:
731:
729:
727:
723:
713:
710:
708:
705:
704:
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695:
694:Stereographic
692:
690:
687:
685:
682:
681:
679:
677:
673:
670:
668:
660:
654:
651:
647:
644:
642:
639:
638:
637:
634:
632:
629:
627:
624:
623:
621:
619:
618:Pseudoconical
615:
609:
606:
604:
601:
599:
596:
595:
593:
591:
587:
577:
574:
572:
569:
567:
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531:
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485:
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446:
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321:
320:
317:
313:
306:
301:
299:
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292:
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283:
273:
268:
261:
260:0-226-76747-7
257:
253:
248:
246:
244:
242:
237:
227:
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222:
219:
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210:
206:
199:
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118:
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107:
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79:
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72:
70:
66:
60:
58:
54:
50:
46:
42:
33:
26:
21:
1283:
1266:Orthographic
797:Gauss–Krüger
689:Orthographic
484:Web Mercator
453:
378:Gauss–Krüger
271:
267:
251:
208:
204:
197:
193:
189:
185:
184:
73:
69:great circle
61:
40:
38:
1244:Perspective
1032:some aspect
1016:Strebe 1995
991:Equal Earth
910:Gall–Peters
892:Cylindrical
707:Equidistant
603:Equidistant
533:Equal Earth
416:Gall–Peters
360:Cylindrical
1306:AuthaGraph
1298:Polyhedral
1168:Compromise
1096:Loximuthal
1088:Loxodromic
1050:Sinusoidal
900:Balthasart
877:Sinusoidal
854:Sinusoidal
837:Equal-area
548:Sinusoidal
506:Equal-area
406:Balthasart
398:Equal-area
371:-conformal
348:By surface
232:References
1378:Longitude
1206:Wagner VI
1055:Two-point
986:Eckert VI
981:Eckert IV
976:Eckert II
953:Mollweide
948:Collignon
915:Hobo–Dyer
869:Bottomley
784:Conformal
772:By metric
663:Azimuthal
636:Polyconic
631:Bottomley
571:Wagner VI
543:Mollweide
528:Eckert VI
523:Eckert IV
518:Eckert II
513:Collignon
421:Hobo–Dyer
163:φ
160:
123:λ
119:−
116:λ
57:meridians
1407:Category
1373:Latitude
1358:See also
1321:Dymaxion
1261:Gnomonic
1196:Robinson
1101:Mercator
1078:Gnomonic
1070:Gnomonic
905:Behrmann
812:Mercator
684:Gnomonic
666:(planar)
641:American
411:Behrmann
369:Mercator
215:See also
82:Formulae
49:cylinder
1234:HEALPix
1133:Littrow
744:Wiechel
646:Chinese
590:Conical
454:Central
449:Cassini
426:Lambert
323:History
53:equator
1253:Planar
1221:Hybrid
1128:Hammer
1060:Werner
1001:Hammer
966:Albers
882:Werner
859:Werner
739:Hammer
734:Aitoff
653:Werner
598:Albers
474:Miller
333:Portal
258:
1123:Craig
1040:Conic
846:Bonne
626:Bonne
1326:ISEA
328:List
256:ISBN
207:and
39:The
157:tan
1409::
240:^
304:e
297:t
290:v
262:.
209:y
205:x
201:0
198:λ
194:λ
190:φ
186:R
166:.
154:R
151:=
144:y
137:,
133:)
127:0
112:(
108:R
105:=
98:x
27:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
