. Asiatic researches, or, Transactions of the Society instituted in Bengal for inquiring into the history and antiquities, the arts, sciences and literature of Asia. 19^ MEASUREMENT OF AN ARC ON THE difference of the angles). Therefore 92' 50' 5 \",96 and 86° 58' 31",5, will be the angles at Cutmatightir and Carangoohj, such as would have been observed on a sphere, the latitudes and longitudes being the same. Then by using these angles, with the sides PC and PG, and computing spherically, the angle CPG, or difference of longitude, will be48'47'',75, with which, and the side PC, or co
. Asiatic researches, or, Transactions of the Society instituted in Bengal for inquiring into the history and antiquities, the arts, sciences and literature of Asia. 19^ MEASUREMENT OF AN ARC ON THE difference of the angles). Therefore 92' 50' 5 \",96 and 86° 58' 31",5, will be the angles at Cutmatightir and Carangoohj, such as would have been observed on a sphere, the latitudes and longitudes being the same. Then by using these angles, with the sides PC and PG, and computing spherically, the angle CPG, or difference of longitude, will be48'47'',75, with which, and the side PC, or co-latitude of Carangaoly, in the triangle PCR, right angled at C, the side CR will be had equal 0° 47" 37"A5. Now the chord of this arc is the distance CR, equal 290837,8 feet, and therefore the arc itself is 290841 feet nearly. Hence 47'37",45 : 290841 :*- 60': 366355,08 feet, or 61059,2 fathoms nearly, which is the length of the degree perpendicular to the meridian at Carangoohj *. ridian be 60491 falhoiiis; by using these data, and computing on tlie elliptic hypo- thesis, the degree perpendicular to the me- ridian 12° 32' would be 60906' fathoms, which for the present purpose is made use of. By the tiiangles, the point O is east from the meridian of Trivandcporn7n 190561,12 feet, and norlli from the perpendicular at that slaiion 480363,62 feet. Also C is east 63690,8 feet, and north 287100,96 feet, from which, and applying the above de- grees, we shall have the arc T3I1° 19' 26",4; T»i—47'27",o6; and therefore rrMwj 31' 58",84. Also OM 31' 17",13, Cw —10' 27",42, and PO 76" ' 56",7, the latitude of the observatory bein<i 13° 04' 09",3. Then in the spherical triangle POM, right angled at M, we have Cos OM: Rad :?Cos. PO : Cos PM—76° 55' 48",72, to which add the arc Mm, there will be had Pm—77° 27' 47',56, the co-latitude of the point m. Then again as rad. '. Cos Cm\\ Cos mP'. Cos PC=77" 27'4
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