पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

INTRODUCTION xv
(iii) Jyotirjñāna-vidhi, or Śrīkaraṇa, written in 799 A.D.
But we have shown below that Śrīdharācārya was a
Śaivite Hindu, not a Jaina, and that he lived sometime bet-
ween Mahāvīra (850 A.D.) and Āryabhaṭa II (c 950 A.D.)
So he cannot be taken to be the author of any of these works.
3·1. The Patiganita. The Pāṭīgaṇita aims at provid
ing a complete course of arithmetic and mensuration to
cater the needs of both students and businessmen. It is
divided as usual into two main sections, viz., logistics and
determinations. The author gives in the beginning of the
work the names of the twenty-nine logistics and the nine
determinations which he proposes to deal with in this work.
These are as follows :
Logistics : (1) saṅkalita (addition), (2) vyvakalita (subtrac-
tion, (3) pratyutpanna (multiplication), (4) bhāgahāra (division),
(5) varga (square), (6) varga-mūla (square root), (7) ghana
(cube), (8) ghana-mūla (cube root), (9-16) the same operations
for fractions, (17-22) kalāsavarṇa (reduction of fractions of six
varieties), (23) trairāśika (rule of three), (24) vyasta-trairāśika
(inverse rule of three), (25) pañca-rāśika (rule of five), (26)
sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28)
bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya
(sale of living beings).
Determinations : (1) miśraka (mixtures), (2) śreḍhī (series),
(3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles
of bricks), (6) krākaca (sawn pieces of timber), (7) rāśi (heaps
or mounds of grain), (8) chāyā (shadow), and (9) śūnya-tatva
(the mathematics of zero).
Of the above twenty-nine logistics, the two, viz., bhāga-
mātā and jīva-vikraya were not treated by Brahmagupta. The
rule of eleven which was included in the list of logistics by
Brahmagupta and on which an example was set by Pṛthūda-
kasvāmī, has been omitted by Śrīdharācārya, probably be-