2.27393 10.01319 10.00000 187.91 14°, 03/ 193.7 · 2.28712 fo is the Sec. of the Course to the Distance confequently the Ship has made good the last 24 Hours, on a SbE Eaft Course, 193.7 Miles; and fince the Ship is failing towards the Equator. Therefore, From the Latitude fail'd from 45, 48°, 24' N take the Diff. of Latitude made good 3, 08 S there remains 16 N the Latitude the Ship is in North. And because the Port the Ship is bound for, lies in the Latitude of 43°, 40/ North, and confequently South of the Ship. Therefore, From the Latitude the Ship is in take the Latitude fhe is bound for and there remains 45°, 16' N 43°, 40 N I , 36 or 96 Miles, the Difference of Latitude or Southing the Ship has to make. Again, the whole Easting the Ship had to make being 144 Miles, and fhe having already made 46.97 or 47 Miles of Eafting; therefore the Departure or Eafting, fhe ftill has to make will be 97 Miles. Confequently to find the direct Courfe and Distance between the Ship and the intended Port, it will be by Cafe 4. of Plain Sailing. As 2.13520 whence the true Bearing and Diftance of the intended Port is SE, 136.5 Miles. 8. In the following Table, computed by Cafe 1. of Plain Sailing, for the more ready working a Traverse, you may observe; that in the top Column of each Page are placed the Courses beginning at 1 Degree, and proceeding thro' the feveral Degrees, Points, and quarter Points, to 45 Degrees, the bottom Column beginning with 45°, where the upper ends and preceeding to 90 Degrees, the Degrees in the upper and lower Columns being the Compliments of one another. The two fide Columns in each Page contains the Distances, viz. those on the left Hand contains the Distances from 1 to 50, and those on the right-hand Page contains the Distances from 50 to 100. The other intermediate Columns contains Differences of Latitude and Departures, answering to the Courfes in the top and Distances in the fide Columns. The ufe of this will be plain, from the following Example. Example 1. Suppofe the Course to be SEbS Eaft, and Distance 48 Miles. Required Difference of Latitude and Departure. First, I look in the top Column for 3 Points (because it is lefs than 4 Points, or 45 Degrees) and in the fide Column on the left-hand Page (because the Distance is lefs than 50) for the Distance 48; then below the 3 Points, and on the fame line with 48, I find 37.1 for the Difference of Latitude, and 30.4 for the Departure. Example 2. Suppose the Courfe NEbE, and the Distance 76 Miles. Required Difference of Latitude and Departure. First, I look in the bottom Column for the Course, viz. 5 Points (because it exceeds 4 Points or 45 Degrees) and in the fide Column on the right-hand Page (because the Distance exceeds 50) for the Distance 76; then above the Course, and on the fame Line with the Distance, I find 63.2 for the Departure, and 42.2 for the Difference of Latitude. If the given Distance 'exceed the Limits of the Table, i. e. be greater than 100, then that Distance must be divided into two or more Parts, each of which must be lefs or equal to 100; then find as in the preceeding Examples, the Difference of Latitude and Departure for each Diftance on the given Course, and the Sum of these Differences of Latitudes will be the Difference of Latitude required, alfo the Sum of the Departures, will be the Departure required. . Example 3. Suppofe the Course SWbS, and Distance 146 Miles. Required the Difference of Latitude and Departure. First, I divide the given Diftance into two, viz. 100 and 46; then the Differences of Latitude and Departures anfwering to these on a SWbS Course, found in the Table, will be as follows, viz. The Sum of the Differences of Latitude, viz. 121.3 is the Difference of Latitude required, and and the Sum of the Departures, viz. 81.1 is the Departure required. After the fame manner may a Traverse be wrought by the Table, viz. by finding the Difference of Latitude and Departure (from the Table) to each Course and Distance, and fetting them down in their proper Columns in the Traverfe Table, and then working as in the foregoing example of a Traverse. Example. Suppofe a Ship in the Latitude of 36°, 431 North, fails on the following Courfes, viz. SEbs, 56 Miles, SSE 42 Miles, SbW 64 Miles, and NEIN 40 Miles. Required the Course and Diftance made good upon the whole, and the Latitude the Ship has come to. First, I take from the Table, the Difference of Latitude and Departure belonging to each Course and Distance, and these fet down in their proper Columns in the Traverfe Table, will ftand as fol Whence it is plain, that the Difference of Latitude made good is 115.8 Miles, and the Departure is 57.3 Miles; then for the direct Courfe and Distance it will be, by Cafe 4. of Plain Sailing. As the Diff. of Lat. is to Radius fo is the Departure 1.75815 to the Tang. of the Courfe 24°, 30' 9.65847 which, because the Ship is failing between South and Eaft, will be SSE4 Eaft nearly. the Distance it will be As Radius Again, for 10.00000 2.09968 fo is the Sec. of the Course 24°; 30' 2.14066 And fince the Ship is failing towards the Equator, confequently diminishing her Latitude, therefore, |