Index:Algebra, with Arithmetic and mensuration, from the Sanscrit.djvu

Title Algebra, with Arithmetic and Mensuration
Author Brahmagupta
Translator Henry Thomas Colebrooke
Year 1817
Publisher John Murray
Location London
Source djvu
Progress To be proofread
Transclusion Index not transcluded or unreviewed
Pages (key to Page Status)
Cover - - - Halftitle Colophon Title - ToC ToC ToC - i ii iii iv v vi vii viii ix x xi xii xiii xiv xv xvi xvii xviii xix xx xxi xxii xxiii xxiv xxv xxvi xxvii xxviii xxix xxx xxxi xxxii xxxiii xxxiv xxxv xxxvi xxxvii xxxviii xxxix xl xli xlii xliii xliv xlv xlvi xlvii xlviii xlix l li lii liii liv lv lvi lvii lviii lix lx lxi lxii lxiii lxiv lxv lxvi lxvii lxviii lxix lxx lxxi lxxii lxxiii lxxiv lxxv lxxvi lxxvii lxxviii lxxix lxxx lxxxi lxxxii lxxxiii lxxxiv 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 - - - -
CONTENTS.
Page.
Dissertation i
NOTES AND ILLUSTRATIONS.
A. Scholiasts of Bháscara xxv
B. Astronomy of Brahmegupta xxviii
C. Brahma-sidd'hánta, Title of his Astronomy xxx
D. Verification of his Text xxxi
E. Chronology of Astronomical Authorities, according to Astronomers of Ujjayaní xxxiii
F. Age of Brahmegupta, from astronomical data xxxv
G. Áryabhat́t́a's Doctrine xxxvii
H. (Reference from p. ix. 1.21.) Scantiness of Additions by later Writers on Algebra xl
I. Age of Áryabhat́t́a xli
K. Writings and Age of Varáha-mihira 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
O. Communication of the Hindus with Western Nations on Astrology and Astronomy lxxviii
BHÁSCARA.
ARITHMETIC (Lílávatí.)
Chapter I. Introduction. Axioms. Weights and Measures 1
Chapter II. Sect. I. Invocation. Numeration 4
Sect. II. Eight Operations of Arithmetic: Addition, &c. 5
Sect. III. Fractions 13
Sect. IV. Cipher 19
Chapter III. Miscellaneous.
Sect. I. Inversion 21
Sect. II. Supposition 23
Sect. III. Concurrence 26
Sect. IV. Problem concerning Squares 27
Sect. V. Assimilation 29
Sect. VI. Rule of Proportion 33
Chapter IV. Mixture.
Sect. I. Interest 39
Sect. II. Fractions 42
Sect. III. Purchase and Sale 43
Sect. IV. A Problem 45
Sect. V. Alligation 46
Sect. VI. Permutation and Combination 49
Chapter V. Progression.
Sect. I. Arithmetical 51
Sect. II. Geometrical 55
Chapter VI. Plane Figure 58
Chapter VII. Excavations and Content of Solids 97
Chapter VIII. Stacks 100
Chapter IX. Saw 101
Chapter X. Mound of Grain 103
Chapter XI. Shadow of a Gnomon 106
Chapter XII. Pulverizer (Cut́t́aca) 112
Chapter XIII. Combination 123
ALGEBRA (Víja-gańita.)
Chapter I. Sect. I. Invocation, &c. 129
Sect. II. Algorithm of Negative and Affirmative Quantities 133
Sect. III. Algorithm— — — of Cipher 136
Sect. IV. Algorithm— — — of Unknown Quantity 139
Sect. V. Algorithm— — — of Surds 145
Chapter II. Pulverizer 156
Chapter III. Affected Square. Sect. I. 170
Sect. II. Cyclic Method 175
Sect. III. Miscellaneous 179
Chapter IV. Simple Equation 185
Chapter V. Quadratic, &c. Equations 207
Chapter VI. Multiliteral Equations 227
Chapter VII Varieties of Quadratics 24.5
Chapter VIII. Equation involving a Factum of Unknown Quantities 268
Chapter IX. Conclusion 275
BRAHMEGUPTA.
CHAPTER XII. ARITHMETIC (Gańita.)
Sect. I. Algorithm 277
Sect. II. Mixture 287
Sect. III. Progression 296
Sect. IV. Plane Figure 305
Sect. V. Excavations 312
Sect. VI. Stacks 314
Sect. VII. Saw 315
Sect. VIII. Mounds of Grain 316
Sect. IX. Measure by Shadow 317
Sect. X. Supplement 319
CHAPTER XVIII. ALGEBRA (Cut́t́aca.)
Sect. I. Pulverizer 325
Sect. II. Algorithm 339
Sect. III. Simple Equation 344
Sect. IV. Quadratic Equation 346
Sect. V. Equation of several unknown 348
Sect. VI. Equation involving a factum 361
Sect. VII. Square affected by coefficient 363
Sect. VIII. Problems 373
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