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William Rutherford (mathematician)

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Rutherford retired from his post at Woolwich about 1864, and died on 16 September 1871, at his residence, Tweed Cottage, Maryon Road,
158:{\displaystyle {\pi \over 4}=4\arctan \left({1 \over 5}\right)-\arctan \left({1 \over 70}\right)+\arctan \left({1 \over 99}\right)} 43:
Only the first 152 calculated digits were later found to be correct; but that broke the record of the time, which was held by the
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Rutherford was born about 1798. He was a master at a school at Woodburn from 1822 to 1825, when he went to
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Rutherford was the editor, with Stephen Fenwick and (for the first volume only) with
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from 1844 to 1847, and honorary secretary in 1845 and 1846. He was a friend of
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since 1789 (126 first digits correct). Rutherford used the following formula:
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He also wrote mathematical pamphlets, including one on the solution of
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Arithmetic, Algebra, and Differential and Integral Calculus in
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Elementary Propositions in the Geometry of Co-ordinates
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Computation of π to 208 Decimal Places (correct to 153)
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In 1838 Rutherford obtained a mathematical post at the
37: 60: 157: 510: 33:famous for his calculation of 208 digits of the 16:For other people called William Rutherford, see 229:from 1822 to 1869, and also contributed to the 505:. London: Smith, Elder & Co. 1885–1900. 471:. London: Smith, Elder & Co. 1885–1900. 345:Course of Mathematics for R.M.A. Woolwich 338:Complete Solution of Numerical Equations 386:History of numerical approximations of π 192:. He was a member of the council of the 401: 255:, for Woolwich, 1841, 1846, 1854, 1860; 511: 436:- Department of Mathematical Sciences 455: 453: 451: 449: 447: 445: 361:On Statical Friction and Revetments 529:19th-century English mathematicians 13: 442: 14: 545: 304:Demonstration of Pascal's Theorem 502:Dictionary of National Biography 484: 468:Dictionary of National Biography 438:University of Colorado at Denver 351:The Extension of π to 440 Places 316:Theorems in Co-ordinate Geometry 190:Royal Military Academy, Woolwich 334:(with Charles K. Sibley), 1847. 281:Key to Bonnycastle's Arithmetic 207:, at the age of seventy-three. 425: 408: 1: 419:- Department of Mathematics, 328:(with Stephen Fenwick), 1843. 7: 462:"Rutherford, William"  374: 10: 550: 297:Philosophical Transactions 194:Royal Astronomical Society 15: 355:Royal Society Proceedings 26:(1798–1871) was an 210: 168: 421:University of Auckland 320:Philosophical Magazine 309:Philosophical Magazine 198:Wesley S. B. Woolhouse 159: 357:, 1853, p. 274). 279:Edwin Colman Tyson's 253:Course of Mathematics 217:Thomas Stephen Davies 160: 35:mathematical constant 402:References and notes 58: 497:Rutherford, William 433:Squaring the Circle 416:Use of the symbol π 369:spherical triangles 287:He published also: 272:Thomas Carpenter's 391:Napoleon's theorem 238:Rutherford edited 155: 24:William Rutherford 18:William Rutherford 524:Pi-related people 332:Earthwork Tables 267:William Galbraith 232:Gentlemen's Diary 226:The Ladies' Diary 221:The Mathematician 149: 122: 95: 69: 541: 506: 488: 487: 473: 472: 464: 457: 440: 429: 423: 412: 259:John Bonnycastle 183:Berwick-on-Tweed 164: 162: 161: 156: 154: 150: 142: 127: 123: 115: 100: 96: 88: 70: 62: 549: 548: 544: 543: 542: 540: 539: 538: 509: 508: 494: 485: 477: 476: 459: 458: 443: 430: 426: 413: 409: 404: 396:Yasumasa Kanada 377: 243:Simson's Euclid 213: 171: 141: 137: 114: 110: 87: 83: 61: 59: 56: 55: 21: 12: 11: 5: 547: 537: 536: 531: 526: 521: 482: 481: 475: 474: 441: 424: 406: 405: 403: 400: 399: 398: 393: 388: 383: 376: 373: 365: 364: 358: 348: 341: 335: 329: 323: 313: 301: 285: 284: 277: 270: 256: 249:Charles Hutton 246: 212: 209: 170: 167: 166: 165: 153: 148: 145: 140: 136: 133: 130: 126: 121: 118: 113: 109: 106: 103: 99: 94: 91: 86: 82: 79: 76: 73: 68: 65: 47:mathematician 9: 6: 4: 3: 2: 546: 535: 532: 530: 527: 525: 522: 520: 517: 516: 514: 507: 504: 503: 498: 492: 491:public domain 479: 478: 470: 469: 463: 456: 454: 452: 450: 448: 446: 439: 435: 434: 428: 422: 418: 417: 411: 407: 397: 394: 392: 389: 387: 384: 382: 379: 378: 372: 370: 362: 359: 356: 352: 349: 346: 342: 339: 336: 333: 330: 327: 324: 321: 317: 314: 311: 310: 305: 302: 299: 298: 293: 290: 289: 288: 282: 278: 276:, 1852, 1859; 275: 271: 268: 264: 260: 257: 254: 250: 247: 245:(1841, 1847); 244: 241: 240: 239: 236: 234: 233: 228: 227: 222: 218: 208: 206: 201: 199: 195: 191: 186: 184: 180: 179:Roxburghshire 176: 151: 146: 143: 138: 134: 131: 128: 124: 119: 116: 111: 107: 104: 101: 97: 92: 89: 84: 80: 77: 74: 71: 66: 63: 54: 53: 52: 50: 46: 41: 39: 36: 32: 31:mathematician 29: 25: 19: 500: 483: 466: 432: 427: 415: 410: 381:History of π 366: 360: 354: 350: 344: 337: 331: 325: 319: 315: 307: 303: 295: 291: 286: 280: 273: 262: 252: 242: 237: 230: 224: 220: 214: 202: 187: 172: 42: 23: 22: 534:1871 deaths 519:1798 births 480:Attribution 513:Categories 274:Arithmetic 49:Jurij Vega 135:⁡ 108:⁡ 102:− 81:⁡ 64:π 45:Slovenian 40:in 1841. 375:See also 205:Charlton 493::  363:, 1859. 347:, 1850. 340:, 1849. 322:, 1843. 312:, 1843. 300:, 1841. 283:, 1860; 269:, 1848; 265:, with 263:Algebra 28:English 175:Hawick 132:arctan 105:arctan 78:arctan 219:, of 211:Works 169:Life 499:". 261:'s 251:'s 515:: 465:. 444:^ 371:. 318:, 306:, 294:, 200:. 185:. 177:, 147:99 120:70 495:" 353:( 152:) 144:1 139:( 129:+ 125:) 117:1 112:( 98:) 93:5 90:1 85:( 75:4 72:= 67:4 38:π 20:.

Index

William Rutherford
English
mathematician
mathematical constant
π
Slovenian
Jurij Vega
Hawick
Roxburghshire
Berwick-on-Tweed
Royal Military Academy, Woolwich
Royal Astronomical Society
Wesley S. B. Woolhouse
Charlton
Thomas Stephen Davies
The Ladies' Diary
Gentlemen's Diary
Charles Hutton
John Bonnycastle
William Galbraith
Philosophical Transactions
Philosophical Magazine
spherical triangles
History of π
History of numerical approximations of π
Napoleon's theorem
Yasumasa Kanada
Use of the symbol π
University of Auckland
Squaring the Circle

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