पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)
Patiganita of Sridharacharya with Commentary
श्रीधराचार्य (सम्पादक: प्रो. कृपाशंकर शुक्ल) द्वारा
पृष्ठ 11, कुल 337 में से
संदर्भ में पढ़ेंCONTENTS
English Translation
Page
Homage and Introduction 1
Contents 1
Definitions 2–4
Names of notational places 2 —Table of money-mea-
sures 3 —Table of weights 3 —Table of measures of
capacity 4 —Table of linear measures 4 —Table of
time-measures 4.
Logistics ( parikarma ) 5–30
Addition 5 —Subtraction 6 —Multiplication 7 —
Division 8 —Squaring 8 —Square root 9 —Cubing
11 —Cube root 12 —Operations for fractions
15 —Reductions of fractions 17 —Rule of three
22 —Inverse rule of three 25 —Rules of five, seven
and nine 25 —Barter of commodities 28 —Sale of
living beings 29.
Determinations pertaining to mixtures of things 31–65
Simple interest 31 —Alligation of pieces of gold
36—Partnership 42 —Purchase and sale 43 —
Meeting of two travellers 52 —Wages and pay-
ments 53 —The cistern problem 55 —Wages paid
from the commodity 56 —Combination of savours
58 —Certain special types of problems 59.
Determinations pertaining to series 66–85
Series in arithmetic progression 66 —Series in
geometric progression 75 —Miscellaneous problems
on series in arithmetic progression 77 —Series of
squares, cubes and successive sums of natural num-
bers 82 —Series of squares and cubes etc. of the
terms of an arithmetic series 84.
Determinations pertaining to plain figures 86–91
Introduction 86 —Area of the quadrilateral with
equal altitudes and of the triangle 88 —Area of
the quadrilateral with unequal altitudes 90.
Answers to Examples 93–96
Indological Truths