he True Places of the Plahebs 5 (patc) ot bhe given thire: the figure shows it to be subtractive (re), as the fule in verse 45 also declares it. Hence, from the 11 0° 59* Moon's mean longitude, deduct the equation, 8 0 Moon's true longitude 11 47 89 We present below, in a briefer form, the rosults of a similar calcula tion made for the Bun. at the same time. But's near longitle, main ht Ujjayini (. 5४॥ 8 17° 48’ * add for difference of meridian (i, 60, 61), 25 38 8 18 18 18 8on's meam longitude at required time, Longitude ot sun's apix (i. 4), 2 17 17 24 8 29 * 11 Sun's icon anomaly (i. 28), subtract rm to quadranta (ii. 30) , 55 49* 63 Are determining base-sine, Base-sible (bhajajy}, Dimensions of epiecyclo (i. 88), |Result from Ma19८-8ine (uarjujuर्भtcc|०), or eine of 10ation (ii. 88) Equation (auld phota, i. 45) 14 +2’ son's true longitude, 8• ]8° 15 In making these calculations, we have neglected the seconds, rejecting the fraction of a minute, or counting ib as a minute, according as it was less or greater than a half. For, considering that this method is followed n the table of sines, which lies at the foundation of the whole process and considering that the size of the arc in the opicycle is assumed to be equal to that of the equation, it would evidently be a waste of labor,•and an afectation of an exactness greater than the process contemplates, or bhan its general method renders practicable, to cary into seconds the data employed. As stated belowin verse 43, the equation bhus found is the only one required in determining the thrub longitude of the sin, and of the moon : in the case of the other planets, however, of which the apparent place is afected by the motion of the eartha much longer and more complicated process' if necessary, of which the explanation commences with the next following passago. The Ptolemaic method of making the calculation of the equation of the centre for the fun and noon is illustrated by the annexed figure
