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EPIGRAPHIA INDICA.
sign, and equal to the mean. As the different parts of Table XXVII represent the tropical signs, one entry serves for the whole part. Thus we find in Part B that on the 20th parallel one degree of the ecliptic (between 30o and 60° trop. Long.) takes up 8-79 vinádís in rising. Knowing the time taken up in rising by one degree, we can easily calculate the time corresponding to any given value of the equation of the sun's centre.
4. Table XXVII refers to tropical longitude, while the other tables yield sidereal longitude. The former is found by adding to the latter the ayanáméas (or amount of the precession of the equinox) for the year in question.
The rule for calculating the ayanáméas is given in section 39 of the former paper (page 421); to find them without calculation is the object of Tables XXVIII and XXIX, e.g., we find by Table XXVIII that in K. Y. 4683 the ayanámsas were-- 16° 14' 42", diz. K.Y. 4600 = 15° O O "
80 years= 1° 12' 0"
8 = 0° 2' 42"
Ayan âmía = 16° 14 49" Table XXIX serves for the Brahma Siddhanta and Siddhanta Siromani, Table XXVIII, for the other Siddhantas.
5. I shall now illustrate by examples the working of these tables in connection with the Special Tables; for when such accuracy is wanted, that the difference between mean and true time comes into consideration, the calculation must be made by means of the Special Tables."
1st Example.-Let it be proposed to calculate the true Tithi for true sunrise on the 7th (solar) Jyaishtha K.Y. 4128 at Aligarh, whose latitude is 27° 63' (or roundly 289) and time difference + 14 vin. We use for this and the following examples the tables for the Súrya Siddhanta:
(a) We calculate the elements : Distance ( etc., for the year and day in question, diz.
Dist. (-0 ('. An. O's An.
Corr. 4100 years . . 69° 48' 0" 217° 8' 30" | 282° 44' 18" 1 + 20 gk. 5+v.
117° 47' 3" 58° 38' 37" ... ... ... 14 gh. 480. 7th Jyai.. . 66° 40' 34" 97° 16' 26" 340 28 46'
254° 16' 37" 13° 3' 35" 817° 13' 52" + Bgl. 11o. (6) Add the time difference, with the sign changed, for the place in question, to the Corr. (+ 6gh. 110. - 140. = + 5gh. 570.) and find by Table XXII the corresponding increase of the elements, distance, etc.5g. = 1° 0' 57" 1° B 19"
4' 56 57v. = 11' 35"
18' 25"
56" Bgh. 570. = +1° 12' 32" +1° 17' 44" +5' 52" (c) Add or subtract, according to the sign) the increase from the first result.
254° 15' 87' 13° 3' 33" 317° 18' 52" + 1° 12' 32" 1° 17' 44"
6' 52" 256° 28' 9" 14° 21' 17" 317° 19' 44' (d) Find the equations for the anomalies of the moon and sun by Table XXIV
An. 14° 21' .. Eq. (= - 1° 15' 32" An. 317° 20' .. Eg. O= -1° 29 19"
Sum of eq'.s = -2° 44' 44* The same inaccuracy pertades all Hindu calculations of true suprise, and makes all figures in Table XXVI Wrong when compared with the true values. However, we do not require the latter, but those which the Hindus mume in their calculations.
Isball indicate below 37, bow these tables may be used in connection with the general tables for an etimate of the difference between mean and true local time.
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