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

SRIDHARA'S
PATIGANITA
Homage and introduction :

1. Having paid obeisance to the Unborn God, the cause
   of creation, preservation and destruction of the worlds, I shall
   briefly state the (pâṭî)gaṇita for the use of the people.
   Contents:
   2-6. (The topics dealt with) here are the twenty-nine
   parikarmas (logisties) arranged as follows :
   (1) saṅkalita (addition),
   (2) vyavakalita (subtraction),
   (3) pratyutpanna (multiplication),
   (4) bhâgahâra (division),
   (5) varga (square),
   (6) varga-mûla (square root),
   (7) ghana (cube),
   (8) ghana-mûla (cube root),
   (9-16) the same (operations) for fractions,
   (17-22) reduction of fractions (kalâ-savarṇa) of six varieties,
   viz.,
   (i) bhâga (fractions connected by + or - ),
   (ii) prabhâga (fractions connected by “ of ”),
   (iii) bhâga-bhâga (a whole number divided by a frac-
   tion),
   (iv) bhâgânubandha (a whole number increased by a
   fraction, or a fraction increased by a fraction
   of itself),
   (v) bhâgâpavâha (a whole number diminished by a
   fraction, or a fraction diminished by a fraction
   of itself), and
   (vi) bhâgamâtâ (a blending of two or more fractions of
   previous forms),