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

Subject Matter

 * Arithmetic

Contents



 * NOTES AND ILLUSTRATIONS


 * $\text A$. Scholiasts of
 * $\text B$. Astronomy of
 * $\text C$. 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, from astronomical data
 * $\text G$. 's Doctrine
 * $\text H$. (Reference from p. ix. l.21.) Soundness of Additions by later Writers on Algebra
 * $\text I$. Age of
 * $\text K$. Writings and Age of
 * $\text L$. Introduction and Progress of Algebra among the Italians
 * $\text M$. Arithmetics of
 * $\text N$. Progress and Proficiency of the Arabians in Algebra
 * $\text O$. Communication of the Hindus with Western Nations on Astrology and Astronomy


 * BHASCARA


 * ARITHMETIC (Lilavati.)


 * Introduction. Axioms. Weights and Measures


 * Sect. $\textit {I}$. Invocation. Numeration
 * Sect. $\textit {II}$. Eight operations of Arithmetic: Addition, &c.
 * Sect. $\textit {III}$. Fractions
 * Sect. $\textit {IV}$. Cipher
 * Sect. $\textit {IV}$. Cipher


 * 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


 * 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


 * Progressions
 * Sect. $\textit {I}$. Arithmetical
 * Sect. $\textit {II}$. Geometrical


 * Plane Figure


 * Excavations and Content of Solids


 * Stacks


 * Saw


 * Mound of Grain


 * Shadow of a Gnomon


 * Pulverizer (Cultaca)


 * Combination


 * ALGEBRA (Vija-ganita.)


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


 * Pulverizer


 * Affected Square
 * Sect. $\textit {I}$
 * Sect. $\textit {II}$. Cyclic Method
 * Sect. $\textit {III}$. Miscellaneous


 * Simple Equation


 * Quadratic, &c. Equations


 * Multiliteral Equations


 * Varieties of Quadratics


 * Equation involving a Factum of Unknown Quantities


 * 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