. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. COMPUTATION. Distance AB=118 : Radius : : Departure CB=83 : Sin. Co. ZA=44° 42 207188 1000000 1*91908 984720 Radius : Distance AB=118 :: Cos. Course 45° 18 1000000207188985137 Difference of latitude 838 192325 NAVIGATION. 207 7. A ship from latitude 1° 4 S sails between the Nand W 162 miles, and then finds her latitude by observa-tion to be 52 N. It is required to find her course anddeparture. CONSTRUCTION. Draw the merid
. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. COMPUTATION. Distance AB=118 : Radius : : Departure CB=83 : Sin. Co. ZA=44° 42 207188 1000000 1*91908 984720 Radius : Distance AB=118 :: Cos. Course 45° 18 1000000207188985137 Difference of latitude 838 192325 NAVIGATION. 207 7. A ship from latitude 1° 4 S sails between the Nand W 162 miles, and then finds her latitude by observa-tion to be 52 N. It is required to find her course anddeparture. CONSTRUCTION. Draw the meridianNS, and upon it setoff AC = 1° 56, or116 miles, the differ-ence of latitude.—From C, the latitudecome to, draw theparallel of latitude CB,unlimited to the west-ward. From A, thelatitude sailed from,with the extent AB =162, the distance,describe an arc inter-secting the parallel inB ; and join The angle BAC will be the course, and CB the departure. COMPUTATION. Distance AB=162 22095l : Radius 1000000 :: Difference of latitude AC=116 2*06456 : Cosine Course 45° 45 Radius : Distance AB=162 :: Sine Course 44° 15 9*85505 10 000002209519*84372 : Departure 113 208 MATHEMATICS. 8. There are two islands, A and B, and the island Bbears WNW of A. Now a ship, after running 30miles due vest from A, observed the island B to bear is the distance of the two islands ? Ans. 325 miles, or 11 leagues, nearly. 9. A frigate sails on a due south course 62 miles from aport in latitude 18° 10 N, at which time she speaks witha merchantman, who had observed a privateer of the ene-my, cruizing in the same latitude, viz. 18° 10 N. Themerchantmans course thence was ESE. How far dis-tant is the privateer, supposing her not to have changedher station ? Ans. 162 miles. 10. A ship in sight of Cape St. Vincents bearing W£Sdistant 9 leagues, finds her latitude by observation 36° 46N. ihe
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