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INDEX.

" $a$ ," in the $a$ , $b$ , $c$ system of calculation, the angular distance of the moon from the sun calculated in mean longitude, § 19A, p. 7. How calculated, §§ 20, 25, pp. 8, 9. Time-value of the unit, ibid. " $a$ " + constant, 201, yields accurately the moon's place in calculations by mean longitude, § 21, p. 8; § 58, p. 22.
" $a$ , $b$ , $c$ " system of calculation of the moon's true place explained, §§ 19A, 20, pp. 7, 8. Time-value of its unit, § 3, p. 1. How to calculate these quantities for sunrise of a day in a year earlier than A.D. 300, §§ 80–85, pp. 32–34. Example given, § 83, p. 32. The same by Professor Jacobi's Tables, extended, §§ 85A–85E, pp. 34, 35. Possibility of an error of one or two units inherent in the —, § 103, p. 39; "Hints" No. 3, p. 76. Result is found in mean time. How to convert this to true time, "Hints" No. 2, p. 76.
Abhijit. The 28th nakshatra, § 113, p. 41.
Adhika, "added." Term how applied to intercalated lunar month, § 96, p. 37. See "Intercalation."
Adhika and kshaya Tithis. Explanation of —, § 86, p. 35.
Albērūnī on the Hindus' knowledge of the precession of the equinoxes, § 34, p. 12.
Amānta reckoning of lunar months. The earliest record as yet discovered which is certainly calculated by the —, § 13, p. 4. The system described, § 18, p. 7; § 64, p. 28; § 75, p. 31. The Tables generally are prepared on the —, § 19, p. 7. The ordinary civil beginning of the luni-solar year when this system is used, § 72, p. 30.
Anomaly. A planet's —, true and mean, defined, § 19A, p. 7.
Apparent, or true, longitude of the sun, § 16, p. 6; and see "Sun." Apparent saṁkrānti, see "Saṁkrānti."
Apsides, Line of —. Annual shift of the sun's —, § 39B, p. 14.
Āryabhaṭa (A.D. 499) had no knowledge of the precession of the equinoxes, § 34, p. 12.
"Āryabhatīya." The — of Āryabhaṭa, hitherto generally known as the "First Ārya Siddhānta." Dr. Fleet's remarks on the name, § 4, p. 2, note 1. See "Ārya Siddhānta, The First."
"Ārya Siddhānta, The —, or The First —." This name, in the Indian Calendar and in this work, applied to the Āryabhaṭīya of Āryabhaṭa (A.D. 499), § 4, p. 2. Dr. Fleet's remarks on the name, ibid, note 1. Its estimate of the rate of annual change in position of the sun's line of apsides, § 39B, p. 14. Value of the śōdhya at the epoch of the Kaliyuga era, by the —, ibid. Dr. Schram's valuation of the same in tabular form, § 39D, p. 15. Its determination of the epoch-moment of the Kaliyuga era, § 141, p. 49; § 154, p. 53; § 167A, p. 60. Elements of the —, § 155, p. 53. (See "Jupiter.") How to convert a result found according to the — into a result according to the Sūrya Siddhānta, §§ 44–62, pp. 19–23. Reasons detailed, ibid. Three corrections to be applied, ibid. Example given, § 61, pp. 22, 23. Length of the year according to —, § 46, p. 19. The same compared with the Julian year-length, § 47, p. 20. Length of its solar months differs from that of the Sūrya Siddhānta, § 55, p. 21. It agreed with the Sūrya Siddhānta as to the moment of true Mēsha saṁkrānti in A.D. 496. Proof of this, Additional Note I., p. xii. The exact moment of Mēsha saṁkrānti of any year by the seconds being added to the minutes obtainable by use of Table I. of the Indian Calendar, "Hints" No. 20, p. 79.
"Ārya Siddhānta", "The Second —." Often so-called. Dr. Fleet's suggestion that this work should in future be called simply "The Ārya Siddhānta," § 4, p. 2, note 1. S. Dvivedi's edition of the —, § 167B, p. 62. Elements of the —, §§ 167B, 167C, pp. 62, 63, and note.
Asterisms, Lunar. See "Nakshatras."
Aśvinī. The first nakshatra. Its beginning-point in the heavens, § 114, p. 41.
Ayanāmśas, or degrees of precession of equinoxes, defined, § 37, p. 13. Rules for calculating the —, §§ 38, 39, p. 13.
" $b$ ," in the $a$ , $b$ , $c$ system of calculation = the mean anomaly of the moon, § 19A, p. 7. How calculated, §§ 20, 25, pp. 8, 9. How tabulated, ibid.
Bāṇa Kings, The. Their method of reckoning time, § 13A, p. 4.
Bārhaspatya cycle. See "Jupiter."