Path of the Annular Solar Eclipse of 1865 Oct 19
Fred Espenak
Introduction
The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1865 Oct 19 . The geographic coordinates (WGS 84) of the northern and southern limits and the central line are listed at 120-second intervals. This provides adequate detail for making plots of the path on larger scale maps. Local circumstances on the central line include the ratio of the apparent diameters of the Moon to the Sun, the Sun's altitude and azimuth (degrees), the path width (kilometers) and the duration on the central line (minutes and seconds). See the Explanation of the Central Eclipse Path Table for a description of each column in the table.
The geographic visibility of the eclipse is shown on a global map on the Prime Page for the Eclipse which also includes complete details on the eclipse. The path of the eclipse is displayed in greater detail on an interactive Google Map .
| Annular Solar Eclipse of 1865 Oct 19 | |||||||||||
| UT1 | Northern Limit | Southern Limit | Central Line | M:S | Sun | Sun | Path | Central | |||
| Latitude | Longitude | Latitude | Longitude | Latitude | Longitude | Ratio | Alt. | Azm. | Width | Duration | |
| Limits | 48°54.8'N | 122°35.5'W | 45°32.6'N | 123°04.2'W | 47°12.9'N | 122°50.5'W | 0.914 | 0° | - | 371 km | 06m24.5s |
| 14:42 | - | - | 42°28.4'N | 109°01.7'W | 45°12.8'N | 113°16.7'W | 0.916 | 7° | 112° | 358 km | 06m40.7s |
| 14:44 | 46°28.8'N | 111°26.0'W | 41°19.9'N | 104°54.4'W | 43°40.3'N | 107°16.3'W | 0.917 | 12° | 117° | 350 km | 06m52.9s |
| 14:46 | 44°56.9'N | 105°45.7'W | 40°22.4'N | 101°45.4'W | 42°31.7'N | 103°20.5'W | 0.918 | 15° | 120° | 345 km | 07m01.9s |
| 14:48 | 43°47.2'N | 101°56.0'W | 39°31.3'N | 099°09.3'W | 41°33.5'N | 100°17.2'W | 0.919 | 18° | 122° | 341 km | 07m09.5s |
| 14:50 | 42°47.7'N | 098°55.7'W | 38°44.7'N | 096°55.2'W | 40°41.5'N | 097°44.6'W | 0.919 | 20° | 125° | 338 km | 07m16.4s |
| 14:52 | 41°54.6'N | 096°25.1'W | 38°01.3'N | 094°56.8'W | 39°54.0'N | 095°32.8'W | 0.920 | 23° | 127° | 335 km | 07m22.7s |
| 14:54 | 41°06.0'N | 094°14.7'W | 37°20.5'N | 093°10.5'W | 39°09.8'N | 093°36.3'W | 0.920 | 25° | 128° | 332 km | 07m28.5s |
| 14:56 | 40°20.8'N | 092°19.2'W | 36°41.7'N | 091°33.8'W | 38°28.2'N | 091°51.4'W | 0.921 | 26° | 130° | 330 km | 07m34.1s |
| 14:58 | 39°38.3'N | 090°35.2'W | 36°04.8'N | 090°05.0'W | 37°48.7'N | 090°15.9'W | 0.921 | 28° | 132° | 328 km | 07m39.3s |
| 15:00 | 38°58.0'N | 089°00.4'W | 35°29.4'N | 088°42.7'W | 37°11.1'N | 088°48.0'W | 0.921 | 30° | 133° | 326 km | 07m44.4s |
| 15:02 | 38°19.6'N | 087°33.1'W | 34°55.3'N | 087°25.9'W | 36°35.0'N | 087°26.6'W | 0.922 | 31° | 135° | 325 km | 07m49.2s |
| 15:04 | 37°42.8'N | 086°12.2'W | 34°22.3'N | 086°14.0'W | 36°00.3'N | 086°10.5'W | 0.922 | 32° | 136° | 323 km | 07m53.9s |
| 15:06 | 37°07.4'N | 084°56.7'W | 33°50.4'N | 085°06.2'W | 35°26.8'N | 084°59.2'W | 0.922 | 34° | 138° | 322 km | 07m58.3s |
| 15:08 | 36°33.3'N | 083°45.8'W | 33°19.5'N | 084°02.0'W | 34°54.4'N | 083°52.0'W | 0.922 | 35° | 139° | 321 km | 08m02.7s |
| 15:10 | 36°00.4'N | 082°38.9'W | 32°49.4'N | 083°01.1'W | 34°22.9'N | 082°48.4'W | 0.923 | 36° | 140° | 320 km | 08m06.9s |
| 15:12 | 35°28.4'N | 081°35.6'W | 32°20.1'N | 082°03.1'W | 33°52.4'N | 081°47.9'W | 0.923 | 38° | 142° | 319 km | 08m11.0s |
| 15:14 | 34°57.4'N | 080°35.5'W | 31°51.5'N | 081°07.7'W | 33°22.7'N | 080°50.3'W | 0.923 | 39° | 143° | 318 km | 08m14.9s |
| 15:16 | 34°27.3'N | 079°38.2'W | 31°23.6'N | 080°14.6'W | 32°53.7'N | 079°55.3'W | 0.923 | 40° | 144° | 317 km | 08m18.8s |
| 15:18 | 33°57.9'N | 078°43.4'W | 30°56.4'N | 079°23.6'W | 32°25.5'N | 079°02.5'W | 0.924 | 41° | 146° | 317 km | 08m22.5s |
| 15:20 | 33°29.3'N | 077°50.9'W | 30°29.7'N | 078°34.6'W | 31°57.9'N | 078°11.9'W | 0.924 | 42° | 147° | 316 km | 08m26.1s |
| 15:22 | 33°01.4'N | 077°00.5'W | 30°03.6'N | 077°47.3'W | 31°30.9'N | 077°23.1'W | 0.924 | 43° | 148° | 316 km | 08m29.6s |
| 15:24 | 32°34.1'N | 076°12.0'W | 29°38.0'N | 077°01.7'W | 31°04.5'N | 076°36.1'W | 0.924 | 44° | 150° | 315 km | 08m33.0s |
| 15:26 | 32°07.4'N | 075°25.1'W | 29°12.9'N | 076°17.5'W | 30°38.7'N | 075°50.7'W | 0.924 | 45° | 151° | 315 km | 08m36.3s |
| 15:28 | 31°41.3'N | 074°39.9'W | 28°48.2'N | 075°34.6'W | 30°13.3'N | 075°06.7'W | 0.924 | 46° | 152° | 315 km | 08m39.5s |
| 15:30 | 31°15.8'N | 073°56.0'W | 28°24.0'N | 074°53.0'W | 29°48.5'N | 074°24.1'W | 0.925 | 46° | 154° | 314 km | 08m42.6s |
| 15:32 | 30°50.7'N | 073°13.5'W | 28°00.2'N | 074°12.6'W | 29°24.1'N | 073°42.6'W | 0.925 | 47° | 155° | 314 km | 08m45.7s |
| 15:34 | 30°26.2'N | 072°32.2'W | 27°36.9'N | 073°33.2'W | 29°00.2'N | 073°02.4'W | 0.925 | 48° | 156° | 314 km | 08m48.6s |
| 15:36 | 30°02.1'N | 071°52.0'W | 27°13.9'N | 072°54.8'W | 28°36.7'N | 072°23.1'W | 0.925 | 49° | 158° | 314 km | 08m51.4s |
| 15:38 | 29°38.5'N | 071°12.9'W | 26°51.3'N | 072°17.3'W | 28°13.6'N | 071°44.8'W | 0.925 | 49° | 159° | 314 km | 08m54.1s |
| 15:40 | 29°15.3'N | 070°34.7'W | 26°29.1'N | 071°40.7'W | 27°50.9'N | 071°07.4'W | 0.925 | 50° | 161° | 314 km | 08m56.7s |
| 15:42 | 28°52.5'N | 069°57.4'W | 26°07.2'N | 071°04.8'W | 27°28.6'N | 070°30.9'W | 0.925 | 51° | 162° | 314 km | 08m59.2s |
| 15:44 | 28°30.2'N | 069°20.8'W | 25°45.6'N | 070°29.6'W | 27°06.7'N | 069°55.1'W | 0.925 | 51° | 164° | 315 km | 09m01.6s |
| 15:46 | 28°08.2'N | 068°45.1'W | 25°24.4'N | 069°55.1'W | 26°45.1'N | 069°20.0'W | 0.925 | 52° | 165° | 315 km | 09m04.0s |
| 15:48 | 27°46.6'N | 068°10.0'W | 25°03.5'N | 069°21.3'W | 26°23.8'N | 068°45.5'W | 0.926 | 53° | 167° | 315 km | 09m06.2s |
| 15:50 | 27°25.3'N | 067°35.5'W | 24°42.9'N | 068°48.0'W | 26°02.9'N | 068°11.7'W | 0.926 | 53° | 169° | 316 km | 09m08.3s |
| 15:52 | 27°04.5'N | 067°01.6'W | 24°22.6'N | 068°15.2'W | 25°42.4'N | 067°38.4'W | 0.926 | 54° | 170° | 316 km | 09m10.3s |
| 15:54 | 26°43.9'N | 066°28.3'W | 24°02.6'N | 067°42.9'W | 25°22.1'N | 067°05.6'W | 0.926 | 54° | 172° | 316 km | 09m12.2s |
| 15:56 | 26°23.7'N | 065°55.5'W | 23°42.9'N | 067°11.0'W | 25°02.1'N | 066°33.2'W | 0.926 | 55° | 174° | 317 km | 09m14.1s |
| 15:58 | 26°03.8'N | 065°23.1'W | 23°23.4'N | 066°39.5'W | 24°42.5'N | 066°01.3'W | 0.926 | 55° | 175° | 317 km | 09m15.8s |
| 16:00 | 25°44.2'N | 064°51.1'W | 23°04.2'N | 066°08.4'W | 24°23.1'N | 065°29.8'W | 0.926 | 55° | 177° | 318 km | 09m17.4s |
| 16:02 | 25°25.0'N | 064°19.5'W | 22°45.3'N | 065°37.6'W | 24°04.0'N | 064°58.6'W | 0.926 | 56° | 179° | 319 km | 09m18.8s |
| 16:04 | 25°06.0'N | 063°48.2'W | 22°26.7'N | 065°07.2'W | 23°45.2'N | 064°27.8'W | 0.926 | 56° | 181° | 319 km | 09m20.2s |
| 16:06 | 24°47.4'N | 063°17.2'W | 22°08.3'N | 064°37.0'W | 23°26.7'N | 063°57.2'W | 0.926 | 56° | 182° | 320 km | 09m21.5s |
| 16:08 | 24°29.0'N | 062°46.5'W | 21°50.1'N | 064°07.0'W | 23°08.5'N | 063°26.9'W | 0.926 | 57° | 184° | 321 km | 09m22.7s |
| 16:10 | 24°11.0'N | 062°16.0'W | 21°32.3'N | 063°37.2'W | 22°50.5'N | 062°56.8'W | 0.926 | 57° | 186° | 321 km | 09m23.7s |
| 16:12 | 23°53.2'N | 061°45.7'W | 21°14.6'N | 063°07.6'W | 22°32.8'N | 062°26.8'W | 0.926 | 57° | 188° | 322 km | 09m24.7s |
| 16:14 | 23°35.7'N | 061°15.6'W | 20°57.2'N | 062°38.2'W | 22°15.3'N | 061°57.1'W | 0.926 | 57° | 190° | 323 km | 09m25.5s |
| 16:16 | 23°18.4'N | 060°45.6'W | 20°40.0'N | 062°08.9'W | 21°58.1'N | 061°27.4'W | 0.926 | 57° | 192° | 324 km | 09m26.2s |
| 16:18 | 23°01.5'N | 060°15.7'W | 20°23.1'N | 061°39.7'W | 21°41.2'N | 060°57.9'W | 0.926 | 57° | 193° | 325 km | 09m26.8s |
| 16:20 | 22°44.8'N | 059°45.9'W | 20°06.4'N | 061°10.5'W | 21°24.5'N | 060°28.5'W | 0.926 | 57° | 195° | 325 km | 09m27.2s |
| 16:22 | 22°28.4'N | 059°16.2'W | 19°50.0'N | 060°41.4'W | 21°08.1'N | 059°59.1'W | 0.926 | 57° | 197° | 326 km | 09m27.6s |
| 16:24 | 22°12.2'N | 058°46.5'W | 19°33.7'N | 060°12.3'W | 20°51.9'N | 059°29.7'W | 0.926 | 57° | 199° | 327 km | 09m27.8s |
| 16:26 | 21°56.3'N | 058°16.8'W | 19°17.8'N | 059°43.2'W | 20°36.0'N | 059°00.3'W | 0.926 | 57° | 201° | 328 km | 09m27.9s |
| 16:28 | 21°40.7'N | 057°47.0'W | 19°02.0'N | 059°14.0'W | 20°20.3'N | 058°30.9'W | 0.926 | 57° | 203° | 329 km | 09m27.9s |
| 16:30 | 21°25.4'N | 057°17.2'W | 18°46.5'N | 058°44.8'W | 20°04.8'N | 058°01.4'W | 0.926 | 57° | 204° | 330 km | 09m27.7s |
| 16:32 | 21°10.2'N | 056°47.3'W | 18°31.2'N | 058°15.5'W | 19°49.6'N | 057°31.8'W | 0.926 | 57° | 206° | 331 km | 09m27.5s |
| 16:34 | 20°55.4'N | 056°17.3'W | 18°16.1'N | 057°46.1'W | 19°34.7'N | 057°02.1'W | 0.926 | 57° | 208° | 332 km | 09m27.1s |
| 16:36 | 20°40.8'N | 055°47.2'W | 18°01.2'N | 057°16.6'W | 19°20.0'N | 056°32.3'W | 0.926 | 56° | 210° | 333 km | 09m26.6s |
| 16:38 | 20°26.5'N | 055°16.9'W | 17°46.6'N | 056°46.9'W | 19°05.5'N | 056°02.3'W | 0.926 | 56° | 212° | 334 km | 09m25.9s |
| 16:40 | 20°12.4'N | 054°46.4'W | 17°32.2'N | 056°17.0'W | 18°51.3'N | 055°32.1'W | 0.926 | 56° | 213° | 335 km | 09m25.1s |
| 16:42 | 19°58.6'N | 054°15.6'W | 17°18.1'N | 055°46.8'W | 18°37.3'N | 055°01.7'W | 0.926 | 56° | 215° | 336 km | 09m24.2s |
| 16:44 | 19°45.1'N | 053°44.6'W | 17°04.2'N | 055°16.5'W | 18°23.6'N | 054°31.0'W | 0.926 | 55° | 217° | 337 km | 09m23.2s |
| 16:46 | 19°31.8'N | 053°13.3'W | 16°50.5'N | 054°45.8'W | 18°10.1'N | 054°00.1'W | 0.926 | 55° | 218° | 338 km | 09m22.0s |
| 16:48 | 19°18.8'N | 052°41.6'W | 16°37.1'N | 054°14.8'W | 17°56.9'N | 053°28.8'W | 0.926 | 54° | 220° | 339 km | 09m20.7s |
| 16:50 | 19°06.1'N | 052°09.6'W | 16°23.9'N | 053°43.5'W | 17°43.9'N | 052°57.1'W | 0.926 | 54° | 221° | 340 km | 09m19.3s |
| 16:52 | 18°53.6'N | 051°37.2'W | 16°11.0'N | 053°11.8'W | 17°31.2'N | 052°25.1'W | 0.926 | 53° | 223° | 341 km | 09m17.7s |
| 16:54 | 18°41.5'N | 051°04.4'W | 15°58.3'N | 052°39.7'W | 17°18.8'N | 051°52.7'W | 0.926 | 53° | 224° | 341 km | 09m16.0s |
| 16:56 | 18°29.6'N | 050°31.0'W | 15°45.8'N | 052°07.1'W | 17°06.6'N | 051°19.7'W | 0.926 | 52° | 226° | 342 km | 09m14.1s |
| 16:58 | 18°18.0'N | 049°57.2'W | 15°33.6'N | 051°34.1'W | 16°54.7'N | 050°46.3'W | 0.925 | 52° | 227° | 343 km | 09m12.2s |
| 17:00 | 18°06.7'N | 049°22.7'W | 15°21.7'N | 051°00.5'W | 16°43.1'N | 050°12.4'W | 0.925 | 51° | 228° | 344 km | 09m10.1s |
| 17:02 | 17°55.6'N | 048°47.7'W | 15°10.1'N | 050°26.3'W | 16°31.8'N | 049°37.8'W | 0.925 | 50° | 230° | 345 km | 09m07.8s |
| 17:04 | 17°44.9'N | 048°12.0'W | 14°58.7'N | 049°51.6'W | 16°20.7'N | 049°02.6'W | 0.925 | 50° | 231° | 345 km | 09m05.4s |
| 17:06 | 17°34.5'N | 047°35.5'W | 14°47.6'N | 049°16.1'W | 16°10.0'N | 048°26.7'W | 0.925 | 49° | 232° | 346 km | 09m02.9s |
| 17:08 | 17°24.5'N | 046°58.3'W | 14°36.8'N | 048°40.0'W | 15°59.5'N | 047°50.1'W | 0.925 | 48° | 233° | 347 km | 09m00.3s |
| 17:10 | 17°14.8'N | 046°20.2'W | 14°26.3'N | 048°03.1'W | 15°49.4'N | 047°12.6'W | 0.925 | 47° | 235° | 347 km | 08m57.5s |
| 17:12 | 17°05.4'N | 045°41.2'W | 14°16.1'N | 047°25.3'W | 15°39.6'N | 046°34.3'W | 0.925 | 47° | 236° | 348 km | 08m54.6s |
| 17:14 | 16°56.4'N | 045°01.2'W | 14°06.2'N | 046°46.6'W | 15°30.2'N | 045°55.0'W | 0.924 | 46° | 237° | 349 km | 08m51.5s |
| 17:16 | 16°47.7'N | 044°20.1'W | 13°56.7'N | 046°07.0'W | 15°21.1'N | 045°14.7'W | 0.924 | 45° | 238° | 349 km | 08m48.3s |
| 17:18 | 16°39.5'N | 043°37.8'W | 13°47.5'N | 045°26.2'W | 15°12.3'N | 044°33.3'W | 0.924 | 44° | 239° | 350 km | 08m45.0s |
| 17:20 | 16°31.6'N | 042°54.3'W | 13°38.7'N | 044°44.4'W | 15°04.0'N | 043°50.6'W | 0.924 | 43° | 240° | 350 km | 08m41.5s |
| 17:22 | 16°24.2'N | 042°09.3'W | 13°30.2'N | 044°01.3'W | 14°56.0'N | 043°06.7'W | 0.924 | 42° | 241° | 350 km | 08m37.9s |
| 17:24 | 16°17.3'N | 041°22.8'W | 13°22.2'N | 043°16.8'W | 14°48.5'N | 042°21.2'W | 0.924 | 41° | 242° | 351 km | 08m34.2s |
| 17:26 | 16°10.8'N | 040°34.5'W | 13°14.5'N | 042°30.8'W | 14°41.5'N | 041°34.3'W | 0.923 | 40° | 243° | 351 km | 08m30.3s |
| 17:28 | 16°04.9'N | 039°44.4'W | 13°07.4'N | 041°43.2'W | 14°34.9'N | 040°45.5'W | 0.923 | 39° | 244° | 352 km | 08m26.2s |
| 17:30 | 15°59.5'N | 038°52.3'W | 13°00.6'N | 040°53.9'W | 14°28.8'N | 039°54.9'W | 0.923 | 38° | 244° | 352 km | 08m22.0s |
| 17:32 | 15°54.7'N | 037°57.8'W | 12°54.4'N | 040°02.5'W | 14°23.3'N | 039°02.1'W | 0.923 | 37° | 245° | 352 km | 08m17.7s |
| 17:34 | 15°50.6'N | 037°00.7'W | 12°48.8'N | 039°09.0'W | 14°18.4'N | 038°07.0'W | 0.922 | 35° | 246° | 353 km | 08m13.2s |
| 17:36 | 15°47.2'N | 036°00.7'W | 12°43.7'N | 038°13.0'W | 14°14.1'N | 037°09.2'W | 0.922 | 34° | 247° | 353 km | 08m08.5s |
| 17:38 | 15°44.6'N | 034°57.3'W | 12°39.3'N | 037°14.3'W | 14°10.5'N | 036°08.4'W | 0.922 | 33° | 248° | 353 km | 08m03.6s |
| 17:40 | 15°42.9'N | 033°50.1'W | 12°35.6'N | 036°12.5'W | 14°07.8'N | 035°04.2'W | 0.922 | 31° | 248° | 354 km | 07m58.5s |
| 17:42 | 15°42.2'N | 032°38.4'W | 12°32.7'N | 035°07.2'W | 14°05.9'N | 033°56.1'W | 0.921 | 30° | 249° | 354 km | 07m53.3s |
| 17:44 | 15°42.7'N | 031°21.5'W | 12°30.7'N | 033°57.8'W | 14°05.0'N | 032°43.3'W | 0.921 | 28° | 250° | 355 km | 07m47.8s |
| 17:46 | 15°44.6'N | 029°58.1'W | 12°29.7'N | 032°43.7'W | 14°05.3'N | 031°25.2'W | 0.921 | 27° | 251° | 355 km | 07m42.0s |
| 17:48 | 15°48.2'N | 028°26.9'W | 12°29.9'N | 031°23.8'W | 14°07.0'N | 030°00.4'W | 0.920 | 25° | 251° | 356 km | 07m36.0s |
| 17:50 | 15°53.8'N | 026°45.6'W | 12°31.5'N | 029°57.2'W | 14°10.4'N | 028°27.5'W | 0.920 | 23° | 252° | 356 km | 07m29.6s |
| 17:52 | 16°02.2'N | 024°50.9'W | 12°34.8'N | 028°21.9'W | 14°15.9'N | 026°44.2'W | 0.919 | 21° | 253° | 357 km | 07m22.7s |
| 17:54 | 16°14.4'N | 022°37.1'W | 12°40.2'N | 026°35.7'W | 14°24.2'N | 024°46.8'W | 0.919 | 19° | 254° | 358 km | 07m15.3s |
| 17:56 | 16°32.6'N | 019°52.7'W | 12°48.5'N | 024°34.5'W | 14°36.4'N | 022°29.3'W | 0.918 | 16° | 255° | 359 km | 07m07.1s |
| 17:58 | 17°02.6'N | 016°07.0'W | 13°00.9'N | 022°11.3'W | 14°54.8'N | 019°38.9'W | 0.917 | 13° | 256° | 361 km | 06m57.7s |
| 18:00 | - | - | 13°20.1'N | 019°11.4'W | 15°26.0'N | 015°39.6'W | 0.916 | 9° | 257° | 364 km | 06m45.6s |
| Limits | 18°32.2'N | 007°10.0'W | 15°06.0'N | 007°20.4'W | 16°48.1'N | 007°15.8'W | 0.914 | 0° | - | 370 km | 06m24.3s |
ΔT = 5.2 seconds
| Greatest Eclipse and Greatest Duration | ||||||||
| Event | Time TD |
Time UT1 |
Latitude | Longitude | Sun Altitude |
Sun Azimuth |
Path Width | Central Duration |
| Greatest Eclipse | 16:21:13.4 | 16:21:08.2 | 21°15.1'N | 060°13.0'W | 57.4° | 196.3° | 325.9 km | 09m27.44s |
| Greatest Duration | 16:26:46.3 | 16:26:41.1 | 20°30.6'N | 058°50.2'W | 57.3° | 201.5° | 328.5 km | 09m27.92s |
Links for the Annular Solar Eclipse of 1865 Oct 19
Links to Additional Solar Eclipse Predictions
- Home - home page of EclipseWise with predictions for both solar and lunar eclipses
- Solar Eclipses - primary page for solar eclipse predictions
- Solar Eclipse Links - detailed directory of links
Eclipse Predictions
Predictions for the Annular Solar Eclipse of 1865 Oct 19 were generated using the JPL DE406 solar and lunar ephemerides. The lunar coordinates were calculated with respect to the Moon's Center of Mass. Although the predictions are first calculated in Terrestrial Dynamical Time (TD), they are then converted to Universal Time (UT1) as presented here. The parameter ΔT is used to convert between the two times (i.e., UT1 = TD - ΔT). ΔT has a value of 5.2 seconds for this eclipse. The uncertainty in ΔT is 0.4 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.00°.
Acknowledgments
All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy.
Permission is granted to reproduce eclipse data when accompanied by a link to this page and an acknowledgment:
"Eclipse Predictions by Fred Espenak, EclipseWise.com"
The use of diagrams and maps is permitted provided that they are unaltered (except for re-sizing) and the embedded credit line is not removed or covered.