Book:Henry Thomas Colebrooke/Algebra, with Arithmetic and Mensuration
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Henry Thomas Colebrooke: Algebra, with Arithmetic and Mensuration: from the Sanscrit of Brahmegupta and Bhascara
Published $\text {1817}$, John Murray
Subject Matter
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 $\text {II}$.
- 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 $\text {III}$. Miscellaneous
- 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 $\text {IV}$. Mixture
- Chapter $\text {V}$. Progressions
- Sect. $\textit {I}$. Arithmetical
- Sect. $\textit {II}$. Geometrical
- Chapter $\text {V}$. Progressions
- 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 $\text {I}$.
- Chapter $\text {II}$. Pulverizer
- Chapter $\text {III}$. Affected Square
- Sect. $\textit {I}$
- Sect. $\textit {II}$. Cyclic Method
- Sect. $\textit {III}$. Miscellaneous
- Chapter $\text {III}$. Affected Square
- 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 $\text {XII}$. ARITHMETIC (Ganita)
- 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