Book:Henry Thomas Colebrooke/Algebra, with Arithmetic and Mensuration

Henry Thomas Colebrooke: Algebra, with Arithmetic and Mensuration: from the Sanscrit of Brahmegupta and Bhascara

Published $\text {1817}$, John Murray

Subject Matter

• Arithmetic

Contents

Dissertation

NOTES AND ILLUSTRATIONS

$\text A$. Scholiasts of Bhascara

$\text B$. Astronomy of Brahmegupta

$\text C$. Brahma-Sidd'hanta, Title of his Astronomy

$\text D$. Verification of his Text

$\text E$. Chronology of Astronautical Authorities, according to Astronomers of Ujjayani

$\text F$. Age of Brahmegupta, from astronomical data

$\text G$. Aryabhatta's Doctrine

$\text H$. (Reference from p. ix. l.21.) Soundness of Additions by later Writers on Algebra

$\text I$. Age of Aryabhatta

$\text K$. Writings and Age of Varaha-Mihira

$\text L$. Introduction and Progress of Algebra among the Italians

$\text M$. Arithmetics of Diophantus

$\text N$. Progress and Proficiency of the Arabians in Algebra

$\text O$. Communication of the Hindus with Western Nations on Astrology and Astronomy

BHASCARA

ARITHMETIC (Lilavati.)

Chapter $\text {I}$. Introduction. Axioms. Weights and Measures

Chapter $\text {II}$.

Sect. $\textit {I}$. Invocation. Numeration

Sect. $\textit {II}$. Eight operations of Arithmetic: Addition, &c.

Sect. $\textit {III}$. Fractions

Sect. $\textit {IV}$. Cipher

Chapter $\text {III}$. Miscellaneous

Sect. $\textit {I}$. Inversion

Sect. $\textit {II}$. Supposition

Sect. $\textit {III}$. Concurrence

Sect. $\textit {IV}$. Problem concerning Squares

Sect. $\textit {V}$. Assimilation

Sect. $\textit {VI}$. Rule of Proportion

Chapter $\text {IV}$. Mixture

Sect. $\textit {I}$. Interest

Sect. $\textit {II}$. Fractions

Sect. $\textit {III}$. Purchase and Sale

Sect. $\textit {IV}$. A Problem

Sect. $\textit {V}$. Alligation

Sect. $\textit {VI}$. Permutation and Combination

Chapter $\text {V}$. Progressions

Sect. $\textit {I}$. Arithmetical

Sect. $\textit {II}$. Geometrical

Chapter $\text {VI}$. Plane Figure

Chapter $\text {VII}$. Excavations and Content of Solids

Chapter $\text {VIII}$. Stacks

Chapter $\text {IX}$. Saw

Chapter $\text {X}$. Mound of Grain

Chapter $\text {XI}$. Shadow of a Gnomon

Chapter $\text {XII}$. Pulverizer (Cultaca)

Chapter $\text {XIII}$. Combination

ALGEBRA (Vija-ganita.)

Chapter $\text {I}$.

Sect. $\textit {I}$. Invocation, &c.

Sect. $\textit {II}$. Algebra of Negative and Affirmative Quantities

Sect. $\textit {III}$. ------ of Cipher

Sect. $\textit {IV}$. ------ of Unknown Quantity

Sect. $\textit {V}$. ------ of Surds

Chapter $\text {II}$. Pulverizer

Chapter $\text {III}$. Affected Square

Sect. $\textit {I}$

Sect. $\textit {II}$. Cyclic Method

Sect. $\textit {III}$. Miscellaneous

Chapter $\text {IV}$. Simple Equation

Chapter $\text {V}$. Quadratic, &c. Equations

Chapter $\text {VI}$. Multiliteral Equations

Chapter $\text {VII}$. Varieties of Quadratics

Chapter $\text {VIII}$. Equation involving a Factum of Unknown Quantities

Chapter $\text {IX}$. Conclusion

BRAHMEGUPTA

CHAPTER $\text {XII}$. ARITHMETIC (Ganita)

Sect. $\textit {I}$. Algorithm

Sect. $\textit {II}$. Mixture

Sect. $\textit {III}$. Progression

Sect. $\textit {IV}$. Plane Figure

Sect. $\textit {V}$. Excavations

Sect. $\textit {VI}$. Stacks

Sect. $\textit {VII}$. Saw

Sect. $\textit {VIII}$. Mound of Grain

Sect. $\textit {IX}$. Measure by Shadow

Sect. $\textit {X}$. Supplement

CHAPTER $\text {XIII}$. ALGEBRA (Cultaca.)

Sect. $\textit {I}$. Pulverizer

Sect. $\textit {II}$. Algorithm

Sect. $\textit {III}$. Simple Equation

Sect. $\textit {IV}$. Quadratic Equation

Sect. $\textit {V}$. Equation of several unknowns

Sect. $\textit {VI}$. Equation involving a factum

Sect. $\textit {VII}$. Square affected by coefficient

Sect. $\textit {VIII}$. Problems