(240.) A ship from latitude 24° 53' N. sails between the south and west till her difference of latitude is 167 and departure 137 miles; required her course steered, the distance sailed, and the latitude in.

(241.) A ship from latitude 60° 11' N. sails between the south and east till her difference of latitude is 290 and departure 203 miles; required the course steered, the distance sailed, and the latitude in.

(242.) A ship from latitude 41° 18' N. sails between the north and west till her difference of latitude is 357 and departure 279 miles; required the course steered, the distance sailed, and the latitude in.

(243.) A ship from latitude 31° 17' S. sails between the south and east till her difference of latitude is 198 and departure 205 miles; required the course steered, the distance sailed, and the latitude in.

Promiscuous Exercises on the preceding Problems, 23.

(244.) A ship from latitude 37° 18′ N. sails on the port tack SSE. S. by compass for a distance of 270 miles, the variation of the compass being 24 W. and the leeway 1 points; required the true course, the difference of latitude and departure made, and the latitude in.

(245.) A ship from latitude 58° 14' N. sails on the starboard tack SSE. E. by compass for a distance of 218 miles, the variation of the compass being 1 E. and the leeway 2 points; required the true course, the difference of latitude, the departure made and the latitude arrived at.

(246.) A ship sails on the port tack for a distance of 336 miles. from latitude 27° 56' S., her course by compass being NE. E., but the variation of the compass was found to be 1 points E. and the leeway 2 points; required her true course, the difference of latitude, the departure made, and the latitude arrived at.

(247.) If a ship sail SW. by W. on the port tack for a distance of 292 miles from latitude 46° 17′ N., and make 1 points of leeway; required her true course, the difference of latitude, the departure made, and also the latitude arrived at.

(248.) If a ship sail from latitude 53° 31′ N. on the port tack, making 2 points of leeway, her apparent course being SW. W. till she arrive in latitude 52° 47′ N.; required the true course steered, the distance sailed, and the departure made good.

(249.) If a ship sail from latitude 29° 43′ S. till she arrive in latitude 31° 44' S., having made a departure of 255.8 to the west; required the course steered, the distance sailed, and the time taken, her rate of sailing being 6 miles an hour.

(250.) A ship sails for 40 hours at 7 miles per hour between the south and west on the port tack, making 1 points of leeway, till her difference of latitude is 122 miles; required the apparent course sailed, the distance, and the departure.

(251.) If a ship sail from latitude 46° 51′ N. for 37 hours, at 8 miles an hour, between the north and west, till she arrive in latitude 51° 17′ N.; required the course steered, the distance sailed, and the departure made.

(252.) If a ship sail from latitude 29° 29′ N. on the starboard tack SW. by W. for a distance of 276 miles, making leeway 1 points, the variation of the compass being 1 W.; required her true course, the latitude arrived at, and the departure made.

(253.) A ship sails on the port tack, making 25° leeway, from latitude 58° 12′ N. on a compass course S. 58° W., the variation of the compass being 18° W. for 30 hours at 9 miles per hour; required her true course, the departure made, and the latitude arrived at.

(254) A ship sails by compass SW. by S. on the port tack for a distance of 420 miles from latitude 33° 54′ S., but she makes 2 points of leeway, and the variation of the compass is 1 E.; required her true course, the departure made, and the latitude in.

(255.) If a ship sail for 52 hours at the rate of 6 miles an hour on a course by the compass WSW. on the starboard tack, making 2 points of leeway, and find that she has made a difference of latitude of 290; required the course steered, the departure made, and the variation of the compass.

(256.) If a ship sail on the starboard tack between the south and west, making 3 points of leeway, where the variation of the compass is 1 E. till her distance is 238 and her difference of latitude is 184 miles; required the true course, the apparent course, and the departure.

(257.) A ship from latitude 20° 27' S. sails between the north and west for 18 hours at 9 miles per hour, and finds she has arrived in latitude 17° 59' S.; required her true and apparent course, the variation of the compass being 24° W.; also find the departure and distance sailed.

(258.) A ship from latitude 51° 15′ N. sails on the starboard tack, making 2 points of leeway for a distance of 251 miles, her apparent course being ENE.; required her true course, the departure made, and the latitude now in.

(259.) A ship sails WSW. from latitude 28° 54′ N. till she arrives in latitude 27° N.; find the difference of latitude made, the distance sailed, and the departure made.

(260.) A ship from latitude 38° 48′ S. sails between the north and west till her difference of latitude is 217 and her departure 116 miles, the variation of the compass is 1 W.; required the compass course, the distance sailed, and the latitude arrived at.

(261.) A ship from latitude 29° 49′ N. sails between the north and east till her difference of latitude is 146 and her departure 141 miles, the variation of the compass is 15° E.; required the compass course, the distance sailed, and the latitude arrived at.

(262.) A ship from latitude 54° 23' N. sails between the south and west till her difference of latitude is 172 and her departure 191 miles, the variation of the compass being 18° E.; required

the compass course steered, the distance sailed, and the latitude arrived at.

(263.) A ship sails from latitude 41° 29′ N. a distance of 295 miles, and makes a difference of latitude of 143 miles, her course is between the north and west, and the variation of the compass is 21° W.; required the compass course steered, the departure made, and the latitude arrived at.

(264.) A ship sails between the north and east on the port tack from latitude 47° 41′ N., a distance of 274 miles, till her departure is 184 miles; she makes 1 points leeway, and the variation of the compass is 22 W.; required her true and apparent course, and the latitude arrived at.

CHAPTER VI.

TRAVERSE SAILING.

For

195. When a ship sails on different courses, the crooked line which she describes is called a traverse, and the method of finding a single course and distance which would have brought the ship to the same place, is called resolving a traverse. this purpose any of the four methods already described in the problems in Plane Sailing may be employed; that, however, in most general use at sea is by inspection, which shall therefore be principally adhered to. To render the subject more clear, however, we shall also shew how to resolve a traverse by construction.

BY INSPECTION.

196. Make a table of such breadth and depth as may be necessary to contain the several courses, &c. Divide this table into six vertical columns; in the first, the several courses steered are to be placed, and the distances sailed on each of these courses are to be placed opposite them in the second column; the third and fourth columns, marked N. and S. at the top, are to contain the differences of latitude, and the last two, marked E. and W. at the top, contain the departures made on the several courses.

197. The several courses and their corresponding distances being properly arranged in the table; find in the first or second

H