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Brook Taylor

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219: 420: 971: 51: 327:, Taylor set forth the principles of perspective in a more understandable form, but the work suffered from brevity and obscurity problems which plagued most of his writings, meaning the essay required further explanation in the treatises of 390:, Surrey in 1721 without his father's approval. The marriage led to an estrangement with his father, which improved in 1723 after Taylor's wife died in childbirth while giving birth to a son. Taylor's son did not survive. 581: 801:
Nouveaux principes de la perspective linéaire, traduction de deux ouvrages, l'un anglais du Docteur Brook Taylor. L'autre latin, de Monsieur Patrice Murdoch. Avec un essai sur le mélange des couleurs par
202:(18 August 1685 – 29 December 1731) was an English mathematician and barrister best known for several results in mathematical analysis. Taylor's most famous developments are 1792: 2023: 1060: 435:
for private circulation in 1793, (2nd Bart., 10 January 1815). The work was prefaced by a biography, and had an appendix containing letters addressed to him by
1637: 1177: 2008: 380:, but a lack of clarity affected a great part of his demonstrations and Taylor lost brevity through his failure to express his ideas fully and clearly. 1847: 1727: 1189: 306:". Taylor used this development to determine the form of movement in vibrating strings. Taylor also wrote the first satisfactory investigation of 1309: 1359: 1998: 1053: 491: 1958: 1019: 707: 622: 1712: 1482: 1321: 1153: 1777: 1757: 1742: 1562: 1527: 1243: 1046: 994: 436: 393:
He spent the next two years with his family at Bifrons, and in 1725 he married with his father's approval, Sabetta Sawbridge of
1303: 1285: 667:, vol. 8, p. 194), the statement "the main foundation of differential calculus abstracted from any consideration of 2018: 2013: 1772: 1752: 1732: 1722: 1492: 903: 882: 493:
Linear Perspective: Or, a New Method of Representing Justly All Manner of Objects as They Appear to the Eye in All Situations
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in 1749. A French translation was published in 1757. It was reprinted, with a portrait and short biography, in 1811.
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From 1715 onward, Taylor's studies took a philosophical and religious bent. He corresponded with the
298:("Direct and Indirect Methods of Incrementation") added a new branch to higher mathematics, called " 1647: 1108: 999: 1932: 1857: 1677: 1406: 307: 24: 989: 829: 814: 723: 659: 1862: 1340: 1902: 1013: 893: 800: 482: 1567: 1366: 701: 616: 315: 277: 872: 818: 472: 1988: 1983: 1662: 1522: 350: 141: 1897: 338:
in 1712. In the same year, Taylor sat on the committee for adjudicating the claims of Sir
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realized its usefulness and termed it "the main foundation of differential calculus".
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Both are disciples of Taylor's: Marlow Anderson, Victor J. Katz, Robin J. Wilson;
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attraction. In 1719, Brook issued an improved version of his work on perspective,
401:. She died in childbirth in 1730, though his only daughter, Elizabeth, survived. 1907: 1807: 1802: 1557: 1497: 1038: 1023: 1009: 868: 810: 638: 565: 511: 428: 358: 346:. He acted as secretary to the society from 13 January 1714 to 21 October 1718. 257: 253: 1948: 1702: 1627: 1597: 1517: 1416: 825:); he errs on the name of the translator, who was Antoine Rivoire (1709-1789) ( 408: 1977: 1922: 1887: 1867: 1827: 1717: 1542: 1512: 1436: 1376: 1102: 711:. Vol. 26 (11th ed.). Cambridge University Press. pp. 467–468. 696: 668: 626:. Vol. 26 (11th ed.). Cambridge University Press. pp. 467–468. 611: 515: 404:
Taylor's father died in 1729, leaving Taylor to inherit the Bifrons estate.
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Jopling, Joseph; Taylor, Brook (1835). "Memoirs of the Life of the Author".
280:." Taylor's solution remained unpublished until May 1714, when his claim to 210:, essential in the infinitesimal approach of functions in specific points. 1953: 1917: 1892: 1882: 1425: 1401: 806: 728: 664: 339: 328: 238: 372:
Taylor was one of few English mathematicians, along with Isaac Newton and
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Feigenbaum, Lenore (1985). "Brook Taylor and the Method of Increments".
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Sherlock Holmes in Babylon: And Other Tales of Mathematical History
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Sherlock Holmes in Babylon: And Other Tales of Mathematical History
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vols. xxvii to xxxii, which including accounts of experiments in
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of Taylor aged about 12 with his brothers and sisters. See also
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His health began to fail in 1717 after years of intense work.
826: 653:"e principal fondement du calcul différentiel". According to 261: 276:, leading to Taylor obtaining a solution to the problem of " 519: 398: 357:'s tenets. Unfinished treatises written on his return from 50: 892:
Anderson, Marlow; Katz, Victor; Wilson, Robin (2004).
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Taylor died at the age of 46, on 29 December 1731, at
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Taylor, a crater on the Moon named after Brook Taylor
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writes that the book was actually published in Lyon (
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Dr. Brook Taylor's Principles of Linear Perspective
1068: 891: 843:"Planetary Names: Crater, craters: Taylor on Moon" 983: 446:Several short papers by Taylor were published in 2024:Freemasons of the Premier Grand Lodge of England 1975: 427:Taylor's grandson, Sir William Young, printed a 1941: 929:. Vol. 55. London: Smith, Elder & Co. 376:, who was capable of holding his own with the 1054: 563: 739: 737: 640:Methodus incrementorum directa & inversa 237:). Taylor was the son of John Taylor, MP of 1016:The Children of John Taylor of Bifrons Park 241:, Kent and Olivia Tempest, the daughter of 1061: 1047: 933: 522:, named in honor of Brook Taylor in 1935. 483:Annotated English translation by Ian Bruce 369:, were afterwards found among his papers. 49: 877:. Springer Science & Business Media. 874:Brook Taylor's Work on Linear Perspective 835: 765: 734: 474:Methodus Incrementorum Directa et Inversa 294:Methodus Incrementorum Directa et Inversa 223:Methodus incrementorum directa et inversa 867: 695: 691: 689: 687: 685: 610: 418: 310:. The same work contains the well-known 217: 995:MacTutor History of Mathematics Archive 912: 636: 580: 489: 470: 322: 292: 2009:Alumni of St John's College, Cambridge 1976: 821:La France littĂ©raire, ou Dictionnaire… 643:. London: Gulielmi Innys. p. 108. 604: 334:Taylor was elected as a fellow in the 1042: 936:Archive for History of Exact Sciences 845:. Gazetteer of Planetary Nomenclature 682: 496:, London: R. Knaplock, archived from 23:. For the 19th-century diplomat, see 1360:The Constitutions of the Free-Masons 753:. London. May 1793. pp. 436–690 570:. London: M. Taylor. pp. v–xii. 460:New Principles of Linear Perspective 414: 1999:18th-century English mathematicians 1503:Sir Thomas Prendergast, 2nd Baronet 781:. London. October 1772. p. 487 331:(1754) and Daniel Fournier (1761). 13: 1392:Worshipful Society of Apothecaries 1078:Active 1717–1813, united with the 861: 14: 2035: 963: 544:www.historyofparliamentonline.org 367:On the Lawfulness of Eating Blood 1382:Society of Antiquaries of London 1190:Earl of Strathmore and Kinghorne 969: 926:Dictionary of National Biography 677:Journal de l'École polytechnique 213: 1788:Sir Arthur Acheson, 5th Baronet 913:Carlyle, Edward Irving (1898). 793: 386:Taylor married Miss Brydges of 1793:Sir Robert Lawley, 4th Baronet 1346:Antient Grand Lodge of England 1080:Ancient Grand Lodge of England 1070:Premier Grand Lodge of England 809:, 1757. "Patrice Murdoch" is 715: 647: 630: 592: 574: 557: 532: 1: 1351:United Grand Lodge of England 1084:United Grand Lodge of England 525: 256:in 1701, and took degrees in 2019:People from Edmonton, London 2014:Fellows of the Royal Society 1688:Sir Robert Rich, 4th Baronet 1397:Spalding Gentlemen's Society 745:"Review of New Publications" 250:St John's College, Cambridge 169:St John's College, Cambridge 120:St John's College, Cambridge 55:Engraving of Taylor c. 1720s 7: 1447:Unlawful Societies Act 1799 1387:Royal College of Physicians 1115:John Theophilus Desaguliers 675:" was first printed in the 586:A Cambridge Alumni Database 19:For the comedy writer, see 10: 2040: 1818:Frederick, Prince of Wales 1082:(1751–1813) to create the 823:, vol. 6, p. 365 601:, vol. xxviii, p. xi. 588:. University of Cambridge. 506: 18: 1813:Walter Calverley-Blackett 1455: 1331: 1091: 1076: 679:, vol. 9, p. 5. 582:"Taylor, Brook (TLR701B)" 433:Contemplatio Philosophica 229:Brook Taylor was born in 188: 174: 164: 154: 147: 125: 115: 107: 99: 83: 60: 48: 34: 1372:Freemasons' Hall, London 1120:George Payne (1720–1721) 1000:University of St Andrews 778:The Gentleman's Magazine 750:The Gentleman's Magazine 363:On the Jewish Sacrifices 264:in 1714. Taylor studied 1933:Nathan Mayer Rothschild 1858:Robert Boyle-Walsingham 1316:George, Prince of Wales 1029:Brook Taylor's pedigree 708:Encyclopædia Britannica 660:Biographie universelle… 637:Taylor, Brook (1715a). 623:Encyclopædia Britannica 490:Taylor, Brook (1715b), 477:, London: William Innys 471:Taylor, Brook (1715a), 462:, which was revised by 321:In Taylor's 1715 essay 308:astronomical refraction 25:Brook Taylor (diplomat) 1994:English mathematicians 1863:Sir Robert de Cornwall 1341:History of Freemasonry 424: 226: 2004:Mathematical analysts 1407:English Enlightenment 916:"Taylor, Brook"  819:"Murdoch (Patrice)". 702:"Taylor, Brook"  655:François-Joseph FĂ©tis 617:"Taylor, Brook"  422: 316:Joseph-Louis Lagrange 278:center of oscillation 245:, Baronet of Durham. 221: 16:English mathematician 1848:Marquess of Hastings 1613:Lord James Cavendish 1563:Earl of Macclesfield 1483:Earl of Chesterfield 1268:Marquis of Carnarvon 1220:Marquis of Carnarvon 986:Robertson, Edmund F. 978:at Wikimedia Commons 243:Sir Nicholas Tempest 142:Integration by parts 1903:Meyer Löw Schomberg 1773:Marquess of Lothian 1758:Duke of Marlborough 1743:Duke of Queensberry 1022:24 May 2008 at the 984:O'Connor, John J.; 355:Nicolas Malebranche 1853:James Moore Smythe 1783:Earl of Winchilsea 1733:Earl of Burlington 1713:Viscount Townshend 1668:John Baptist Grano 1623:William Richardson 1593:Richard Manningham 1442:Foundling Hospital 1417:Walpole ministries 1367:Freemasons' Tavern 1310:Duke of Cumberland 1304:Duke of Manchester 1008:has a painting by 948:10.1007/BF00329903 425: 353:on the subject of 324:Linear Perspective 304:finite differences 227: 1971: 1970: 1967: 1966: 1959:Duke of Newcastle 1898:HipĂłlito da Costa 1838:Thomas Dunckerley 1778:Earl of Balcarres 1748:Earl of Deloraine 1698:Francis Columbine 1603:Richard Rawlinson 1533:Richard Cantillon 1412:Order of the Bath 1154:Earl of Inchiquin 1006:Beningbrough Hall 974:Media related to 905:978-0-88385-546-1 884:978-1-4612-0935-5 669:infinitely smalls 415:Selected writings 351:Comte de Montmort 344:Gottfried Leibniz 192: 191: 175:Academic advisors 149:Scientific career 138:Finite difference 21:Tim Brooke-Taylor 2031: 1939: 1938: 1928:Moses Montefiore 1798:Alexander Brodie 1753:Earl of Portmore 1728:Duke of Kingston 1708:Earl of Pembroke 1683:Adolphus Oughton 1653:George Shelvocke 1638:Duke of Ancaster 1618:Earl of Hopetoun 1608:Charles Stanhope 1588:Ephraim Chambers 1583:Alexander Stuart 1488:Charles Delafaye 1473:William Stukeley 1356:James Anderson's 1292:Duke of Beaufort 1196:Earl of Crawford 1184:Viscount Montagu 1142:Duke of Richmond 1136:Earl of Dalkeith 1063: 1056: 1049: 1040: 1039: 1002: 973: 959: 930: 918: 909: 888: 869:Andersen, Kirsti 855: 854: 852: 850: 839: 833: 797: 791: 790: 788: 786: 769: 763: 762: 760: 758: 741: 732: 719: 713: 712: 704: 693: 680: 651: 645: 644: 634: 628: 627: 619: 608: 602: 596: 590: 589: 578: 572: 571: 561: 555: 554: 552: 550: 536: 501: 500:on 11 April 2016 478: 312:Taylor's theorem 286:Johann Bernoulli 284:was disputed by 204:Taylor's theorem 201: 130:Taylor's theorem 90: 87:29 December 1731 53: 43: 32: 31: 2039: 2038: 2034: 2033: 2032: 2030: 2029: 2028: 1974: 1973: 1972: 1963: 1942:Prime ministers 1937: 1913:Sampson Eardley 1908:Joseph Salvador 1843:William Preston 1808:Charles Labelye 1803:William Hogarth 1763:Baron Baltimore 1723:Earl Waldegrave 1693:Viscount Cobham 1648:Edmund Prideaux 1558:James Thornhill 1528:Earl Cornwallis 1498:William Billers 1493:Baron Carpenter 1451: 1333: 1327: 1262:Baron Carysfort 1232:Earl of Kintore 1214:Earl of Darnley 1208:Earl of Loudoun 1172:Duke of Norfolk 1130:Duke of Wharton 1124:Duke of Montagu 1094: 1087: 1072: 1067: 1024:Wayback Machine 1010:John Closterman 966: 906: 885: 864: 862:Further reading 859: 858: 848: 846: 841: 840: 836: 811:Patrick Murdoch 798: 794: 784: 782: 771: 770: 766: 756: 754: 743: 742: 735: 727:, p. PA309, at 720: 716: 694: 683: 663:, p. 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M. QuĂ©rard 812: 808: 805:, p. PP5, at 804: 803: 796: 780: 779: 774: 768: 752: 751: 746: 740: 738: 731:, p. 309 730: 726: 725: 718: 710: 709: 703: 698: 692: 690: 688: 686: 678: 674: 670: 666: 662: 661: 656: 650: 642: 641: 633: 625: 624: 618: 613: 607: 600: 595: 587: 583: 577: 569: 568: 560: 545: 541: 535: 531: 523: 521: 517: 516:impact crater 513: 499: 495: 494: 488: 484: 481: 480: 476: 475: 469: 468: 467: 465: 461: 457: 453: 449: 448:Phil. Trans., 444: 442: 438: 434: 430: 421: 412: 410: 405: 402: 400: 396: 391: 389: 384: 381: 379: 375: 370: 368: 364: 360: 356: 352: 347: 345: 341: 337: 336:Royal Society 332: 330: 326: 325: 319: 317: 313: 309: 305: 301: 297: 295: 289: 287: 283: 279: 275: 271: 267: 263: 259: 255: 251: 246: 244: 240: 236: 232: 224: 220: 214:Life and work 211: 209: 208:Taylor series 205: 200: 196: 187: 184: 180: 177: 173: 170: 167: 163: 160: 157: 153: 150: 146: 143: 139: 135: 134:Taylor series 131: 128: 124: 121: 118: 114: 110: 106: 102: 100:Resting place 98: 86: 82: 77: 73: 63: 59: 52: 47: 42: 33: 30: 26: 22: 1954:Henry Pelham 1918:Moses Mendez 1893:John Coustos 1883:Joseph Banks 1833:Baron Hervey 1548:James Vernon 1508:Brook Taylor 1507: 1426:Kit-Cat Club 1402:Newtonianism 1358: 1280:Earl Ferrers 1178:Baron Lovell 1148:Lord Paisley 1109:George Payne 1015: 993: 976:Brook Taylor 939: 935: 924: 894: 873: 847:. Retrieved 837: 820: 807:Google Books 799: 795: 783:. Retrieved 776: 767: 755:. 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Index

Tim Brooke-Taylor
Brook Taylor (diplomat)
FRS

Edmonton
Middlesex
St John's College, Cambridge
Taylor's theorem
Taylor series
Finite difference
Integration by parts
Mathematics
St John's College, Cambridge
John Machin
John Keill
FRS
Taylor's theorem
Taylor series

Edmonton
Middlesex
Patrixbourne
Sir Nicholas Tempest
St John's College, Cambridge
fellow-commoner
LL.B.
LL.D.
mathematics
John Machin
John Keill

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