. Asiatic researches, or, Transactions of the Society instituted in Bengal for inquiring into the history and antiquities, the arts, sciences and literature of Asia. 2£2. ON THE ASTRONOMICAL COMPUTATIONS sixth, or in the perigee, in sama ; in the ninth sign, in vlshama ; anr* in the twelfth, or the apogee, in sama. The ' ... utgrees, or circumference of the epicy ' soma are, of the sun 140; mvishama 15° 40'; ul che moon in sama 3 2°; in vlj/tama, 3i°4o0,- ' the difference assigned -tcy^h between sama and imh- ama, 20. To illustrate these matters by examples, let it be required to find the equa
. Asiatic researches, or, Transactions of the Society instituted in Bengal for inquiring into the history and antiquities, the arts, sciences and literature of Asia. 2£2. ON THE ASTRONOMICAL COMPUTATIONS sixth, or in the perigee, in sama ; in the ninth sign, in vlshama ; anr* in the twelfth, or the apogee, in sama. The ' ... utgrees, or circumference of the epicy ' soma are, of the sun 140; mvishama 15° 40'; ul che moon in sama 3 2°; in vlj/tama, 3i°4o0,- ' the difference assigned -tcy^h between sama and imh- ama, 20. To illustrate these matters by examples, let it be required to find the equation of the sun's mean to his true place in the first degree of anomaly. The sine of i° is considered as equal to its arc, or 60.— The wrcumference of the epicycle in sama, or the apo- gee, is 14% but diminishing in this case towards vish- ama, in inverse proportion to the sine of anomaly.— Therefore, as radius 3438 is to the differenre between sama and vishama 20', so is the sine of anomaly 60' to the diminution of the epicycle in the point of anomaly propofed, zc" (= °'^) which, subtracted from 14°, leaves 130 59' 40". Then, as the circumference of the great circle q6o° is to the circumference of the epicycle 130 59'40", so is the sine of anomaly 60' to its correspondent sine in the epicycle h c; which, as was observed, is considered as equal to Im, or true sine of the angle of equation 2' 19" 56'" (== *3 5l. o ), which, in the Hindu canon of sines, lis the same'as its arc, and is therefore the equation of ^ the mean ro the true place in \\ of anomaly, to be ad- ded in the first six sines and subtracted in the last six. V For the equation of the mean to the true place in C 14'of anomaly. The sine qj^ 50 14' is ' 36' > 8" and ^iili^^^^^,= i>9}tobeded^ted * from the faruVhi degrees in sama.—14° 1 49"= 130 58' - — I2 9 59 me %f the angtefSD^equariorv which is equal 10 its •. Please note that these images are e
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