﻿OF THE HINDUS. 277 



6 1 21 42 35"—i° 48' 6"--^ 6 s 19° 54' 29" for mid- 

 night agreeing with mean time; but as, in this point 

 of anomaly, the true or apparent ink i night precedes 

 that estimated for mean time, for which the computa- 

 tion has been made, a proportionable quantity must 

 be deducted from the staR place, which is thus 

 found : Say, as the minutes contained in the ecliptic 

 are to the sun's mean motion in one day 59' 8", so is 

 the equation of his mean to his true place 180' 6", to 



the equation of time required, o' 18" ( = 59 ^*™ ' ) 

 and 6 s i 9 54' f 29"— 2 9 // — i3 // = 6 s 19 54' I i°£ the 

 sun's true longitude for the apparent midnight. 



For the sun's true motion. The co-sine of the sun's 

 distance from the perigee is 1941' o" 1'", and 



!MI^L_l_*LiiLi _ y 4 ' t jj e co . s i n e of the epicycle, and 



$1_A24 — x ' j 6" equation, to be added to the mean 

 for the true motion, 59' 8" x 1 16" ==60' 24" per day, 

 or 60" 24'" per dart da. 



id. Of the Moon. 



The moon's mean longitude for the mean mid- 

 night is o s 21 2' 25", which exceeds her mean longi- 

 tude for the true midnight, but Io8x 2 7 I ^ T 35 =3' 57", 

 her motion in the difference of time between the mean 

 and true midnight o 5 21 1' 25" — 3' 57" = o 20 58 

 28 mean longitude, for which the anomalistic equa- 

 tion is to be found. Place of the apogee 11 s 7 8' $$" 

 and the moon's distance from it r 13° 49' 33". The 

 sine of the latter, 2379' 39''. By the rule before ex- 



plained — ^— = 13' 51-, and 3 - 5 g6 * 39 



— 210' the sine of the angle of equation equal to 

 its arc, or 3 30" to be subtracted, o° 20' 5$" 28"' — 

 3 Q 30 = 0° 1 Y 2S' 28'" the moon's true place, agree- 

 ing with the true or apparent midnight. 

 T 2 . 



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