. 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]. ar CB, which will represent theparallel of latitude, and on it set off CB = 79 miles, thedeparture. Join AB. The angle A is the course, and the line AB is the dis-tance. COMPUTATION. Difference of latitude AC=78 1*89209 : Radius 10*00000 :: Departure CB=79 I**^7%3 : Tang. Co. ZA=45° 22 1000554 Sin. Co. ZA=45° 22 9*85225 : Departure CB=79 1*89763 : :Radius - 10*00000 : Distance AB=110*6 2*04538 5. A ship in latitude 30° 5
. 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]. ar CB, which will represent theparallel of latitude, and on it set off CB = 79 miles, thedeparture. Join AB. The angle A is the course, and the line AB is the dis-tance. COMPUTATION. Difference of latitude AC=78 1*89209 : Radius 10*00000 :: Departure CB=79 I**^7%3 : Tang. Co. ZA=45° 22 1000554 Sin. Co. ZA=45° 22 9*85225 : Departure CB=79 1*89763 : :Radius - 10*00000 : Distance AB=110*6 2*04538 5. A ship in latitude 30° 5 N sails SE/>E till herdepai-ture is 46 miles. What is her present latitude, andwhat distance has she run ? CONSTRUCTION. Draw the meridian NS, and from any point A in thesame, draw the parallel of latitude Ab to the eastward =46 miles, or the easting. From A draw AB in the S¥.quarter, unlimited toward B ; ai d making the angle BAC=5(>° 15, or the course. From b draw />B parallel toAC, and intersecting AB in B. Draw likewise BC paral-lel to bA, and intersecting AC in C. NAVIGATION. 205 The line AB will be the distance, and AC the difference of latitude. N. COMPUTATION. Sin. Co. ZA=56° 15 9*91985 : Departure CB=46 1**66276 :: Radius 10OOOOO : Distance AB=553 1*74291 Sin. Co. ZA=56° 15 ar. co. 0*08015 : Departure C 1^=46 1*66276 ::Cos. Co. 33° 45 9*74474 : Difference of latitude==30* 7 1*48765 Now the difference of latitude is southing, and thereforeof a different name from the given latitude. Their dif-ference, or 30° 5—3l=29° 34, is the present latitude,which is north, because the greater of the two latitudes isnorth. MATHEMATICS. 6. A ship sails on a southerly course 118. miles, andmakes 83 miles westing. Her course and difference oflatitude are required. CONSTRUCTION. Draw the meridianNS, and from anypoint A in it drawdie parallel of latitudeAb to the westward=83 miles. From bdraw bB parallel toAC, and unlimited to-ward B. With theextent 118, or the d
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