Index:Algebra, with Arithmetic and mensuration, from the Sanscrit.djvu
| CONTENTS.
Past. DISSERTATION l . r . . . . . . . . . . '. . . . t . i _ NOTES AND ILLUSTRATIONS, A. Scholiastx of Bun’scAnA . . . . . . , . . . . . . . xxv B. Astronomy of Bur-rumor“ . z . . . . . . . . . . xxviii C. Brahmmidd‘hdnm, Title of his Astronomy . . . . . ._ . l xxx D. Verifimtion of his Text . . . . . . . . . . . . . . xxxi E. Chronology of Astronomical Authorities, according to Astrono— mers of ({finyani . . . . . . . . . . . i . i . xxxiii F. Age of BRAHMEGUPTA, from astronomical data . . . . . . xxxv G. AnYABIiAf-rn's Doctrine . . . . . . . . g. . t . . .xxxvii H. (Refelence from [1. ix. 1.21.) Scar-tiness' of Additions by later Writers on Algpbm . . . . . . . . . . . . . . xi 1. Age ofAnranHa'r'r'A . . . . . . . . . . . . . . . xli K. Writings and Age of VAIm’r-rA-nmina . . . . . . . . . xlv L. Introduction and Progress of Algebra among the Italians .' . . li M. Arithmetics of DIOPHANTUS . . . . . . . . . . . . lxi N. Progress and Proficiency of the Arabians in Algebra . . . . . lxiv 0. Communication of the Hindus with Western Nations on Astro- logy and Astronomy . . . . . . . . . . . . . .lxxviii BHASCARA. ARITHAIETIC (Lilrivati.) CHAPTER 1‘ Introduction. Axioms. “heights and Maisurcs r . l Cuunn II. Sect.I. Invocation. Numeration . . . . . . 4 Sect. II. Eight Operations of Arithmetic: Addition, Etc. 5 Sect. III. Fractions . . . . . . . . . . . 13 Sw!.Il/.Ciplier..........-- 19CONTENTS. CuAn‘zn 111. Miscellaneous. Sect. 1. Inversion . . . Sect. IL Supposition Sect. III. Concurrence . . . . Sect. IV. Problem concerning Squares Sect. V. Assimilation . Szct. VI Rule of Proportion CHAPTER 1V. Mixture. ' ’ Sect. 1. Interest Sect. II. Fractious . . . Sect. III. Purchase and Sale . Sect. IV. A Problem . . . . Sect. V. Alligation . . . . . . Sect. VI. Permutation and Combination . CHAPTER V. Progression. Sect. I. Arillunetical . Sect. II. Geometrical . CHAPTER VI. Plane Figure _ . . CHAPTER VII. CHAPTER VIII. Stacks . CHAPTER IX. Saw Cunynzn X. Cuunn XI. Cunrrzn XII. Excavations and Content of Solids Mound of Grain Shadow of a Gnomon . Pulverizer (Cutiaca) CHAPTER XIII. Combination . . . . ALGEBRA (Win-gariita.) CHAPTER I. Sect. 1. Invocation, 8w. Sect. I I. Sect. III. — Sect. IV. Sect. V. CHAPTER II. Pulvcrizer . Algorithm of Negative and Affirmative Quantities of Cipher of Unknown Quantit of Surds .
ill 53 96 27 29 35 39 ream: 51 55 58 97 100 101 108 106 112 123 129 153 136 189 M5 156CONTENTS. CHAPTzn III. Affected Square. Sect. I. . . . . . . . . I70 Sect. II. Cyclic Method . . . . . . . . I75 Sect. 111. Miscellaneous . . . . . . . . 179 CHAPTER IV. Simple Equation . . . . . . . . . . . 185 CHAPTER V. Quadratic, 8w. Equations . . . . . . . . . 207 CnAPTEk VI. Multiliterzl Equations . . . . . . . . . . 227 CHAPTER VII. Varieties of Quadratics . . . . . . . 24.5 CHAPTEII VIII. Equation involving: Factum of Unknown Quantities 268 CHAPTER IX. Conclusion . . . . . . . . . . . . . £75 BRAHMEGUPTA. CHAPTER XII. ARITHMETIC (Galina) Sect. I. Algorithm . . . . . . . . . 277 Sect. II. Mixture . . . . . . . . . . 287 Sect. III. Progression . . . . . . . . . £96 Sect. IV. Plane Figure . . V . . . . . 305 Sect. V. Excavations . . . . . . . . . 312 Sect. VI. Stacks . . . . . . . . . . . 514 Sect. VII. Saw . . . . . . . . . . . 315 Sect. VIII. Mounds of Grain . . . . . . . 316 Sect. IX. Measure by Shadow . . . . . . 517 Sect. X. Snpplement . . . . . . . . . 319 CHAPTER XVIII. ALGEBRA (Cuiiaca.) Sect. 1. Pulverizer . . . . . . . . . 8515 Sect. II. Algorithm . . . . . . . . . ' 339 Sect. III. Simple Equation . . . . . . . 344 Sect. IV. Quadratic Equation . . . . . . 346 Sect. V. Equation of several unknown . . . S48 Sect. VI. Equation involving a fact-um . . . 361 Sect. VII. Squaxe affected by coefficient . . . 863 Sect. VIII. Problems . . . . . . . . . . 373 |
