. A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects. the distance by thehypotenusal line, which forms, with the difference of latitude anddeparture, a right-angled triangle ; and the course will be the angleincluded between the difference of latitude and distance. With this understanding, the solution of any case that can arisefrom varying the data in plane sailing will present no difficulty. PLANE SAILING. 181 EXAMPLES. If a ship sail from Cape St. Vincent, Portugal (Lat. 37° 2 54north), S. W. -J- S. 148 miles; requ
. A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects. the distance by thehypotenusal line, which forms, with the difference of latitude anddeparture, a right-angled triangle ; and the course will be the angleincluded between the difference of latitude and distance. With this understanding, the solution of any case that can arisefrom varying the data in plane sailing will present no difficulty. PLANE SAILING. 181 EXAMPLES. If a ship sail from Cape St. Vincent, Portugal (Lat. 37° 2 54north), S. W. -J- S. 148 miles; required her latitude in, and thedeparture which she has made ? By Construction. â Draw the vertical line AB> to representthe meridian ; from the point A, make theangle BAC=3± points, the given course ; andfrom a scale of equal parts, take A (7= 148 miles,the given distance ; from C on AB, draw theperpendicular CB, then AB will be the dif-ference of latitude, and BO the required de-parture, and measured on the scale from whichAC was taken, AB will be found , andBC Lat. leftDiff. lat. 37° 2 54 JST;1 54 24 Lat. in - - - - 35° 8 30 K Dep. 2. If a ship sail from Oporto Bar, in Lat. 41° 9 north, K W. \ miles ; required her departure and the latitude arrived at ? Ans. Dep. miles W.\ Lat. 44° 41 JST. 3. If a ship sail from lat. 55° 1 S. E. by till her depart-ure is 45 miles; required the distance she has sailed and herlatitude ? Ans. Dep. 81 miles ; Lat. 53° 54 N. 4. A ship from lat. 36° 12 JV., sails south-westward, until shearrives at lat. 35° 1 JV., having made 76 miles departure; requiredher course and distance. Ans. Course S. 46° 57 W.\ Distance 104 miles. 5. If a ship sail from Halifax, in lat. 44° 44 S. E. %E., untilher departure is 128 miles ; required her latitude and distance sailed. Ans. Lat. 42° 51A% and dis. sailed miles. 6. A ship leaving Charleston light, in latitude 32° 43 30 n
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