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291:, one of ten papers read at the table at the meeting of the Royal on 19 June 1823, immediately before the long vacation adjournment until 20 November 1823; one of the three papers of the set not published in Phil. Trans. that year; published in issues in the first two volumes of The Mathematician bound up in 1845 and 1847.
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Diary, not without distinction, reflecting the fact that he was known to be an all-rounder, competent in the classics as well as in mathematics. Horner was ever vigilant in his reading, as shown by his characteristic return to the Diary for 1821 in a discussion of the Prize
Problem, where he reminds readers of an item in (
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for 1811, continuing in the successive annual issues until that for 1817. Up until the issue for 1816, he is listed as solving all but a few of the fifteen problems each year; several of his answers were printed, along with two problems he proposed. He also contributed to other departments of the
77:
Horner died comparatively young, before the establishment of specialist, regular scientific periodicals. So, the way others have written about him has tended to diverge, sometimes markedly, from his own prolific, if dispersed, record of publications and the contemporary reception of them.
162:. Leaving the headmastership of Kingswood School would have given him more time for this work, while the appearance of his name in these publications, which were favoured by a network of mathematics teachers, would have helped publicize his own school.
450:
A New Method of
Solving Equations with Ease and Expedition; by which the True Value of the Unknown Quantity is Found Without Previous Reduction. With a Supplement, Containing Two Other Methods of Solving Equations, Derived from the Same
98:, a Wesleyan foundation near Bristol, and at the age of sixteen became an assistant master there. In four years he rose to be headmaster (1806), but left in 1809, setting up his own school, The Classical Seminary, at Grosvenor Place,
188:, was reprinted as a commemorative tribute in The Ladies' Diary for 1838. The issue of The Gentleman's Diary for that year contains a short obituary notice. A careful analysis of this paper has appeared recently in Craig Smoryński's
173:, where Horner begins by responding to other contributors and works up to independent articles of his own; he has a careful style with acknowledgements and, more often than not, cannot resist adding further detail.
288:
On algebraic transformation, as deducible from first principles, and connected with continuous approximations, and the theory of finite and fluxional differences, including some new modes of numerical solution
568:
453:(Richard Watts. Sold by Davis and Dickson, mathematical and philosophical booksellers, 17, St. Martin's-le-Grand; and by the author, 2, Denzel Street, Clare-Market, 1820), 56pp..
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for this period is similar, including one of two published modes of proof in the volume for 1815 of a problem posed the previous year by Thomas Scurr (d. 1836), now dubbed the
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well into the 1830s. Davies mooted an edition of Horner's collected papers, but this project never came to fruition, partly on account of Davies' own early death.
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283:'A Tribute of Friendship,’ a poem addressed to his friend Thomas Fussell, appended to a 'Funeral Sermon on Mrs. Fussell,’ Bristol, 1820.
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102:, which he kept until he died there 22 September 1837. He and his wife Sarah (1787?–1864) had six daughters and two sons.
40:. Proficient in classics and mathematics, he was a schoolmaster, headmaster and schoolkeeper who wrote extensively on
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169:, edited by Thomas Leybourn, but to contributing occasional articles, rather than the problem section, as well as to
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Several contributions pave the way for, or are otherwise related to, his most celebrated mathematical paper, in
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for 1817; several other problems in the Diary that year were solved by his youngest brother, Joseph.
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On the autoptic spectrum of certain vessels within the eye, as delineated in shadow on the retina
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in 1819, which was read by title at the closing meeting for the session on 1 July 1819, with
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308:, dated Bath, 11 February 1826, Annals of Philosophy New Series, 11 (March, 1826), 168–183;
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On the use of continued fractions with unrestricted numerators in summation of series,
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Horner's name first appears in the list of solvers of the mathematical problems in
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417:'Questions for the Examination of Pupils on … General History,’ Bath, 1843, 12mo.
320:, dated Bath, 2 April 1826, Annals of Philosophy New Series, 11 (May, 1826), 363
199:, having to await appearance in a sequence of parts in the first two volumes of
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While a sequel was read before the Royal
Society, publication was declined for
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99:
443:
A new method of approximating towards the roots of equations of all dimensions
272:, dated Bath, 10 November 1817, Annals of Philosophy, 11 (Feb, 1818), 108–112.
248:, dated Bath, 13 February 1817 Annals of Philosophy, 9 (March, 1817), 251–252.
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232:, dated Bath, 9 September 1816, Annals of Philosophy, 8 (Oct. 1816), 279–284.
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299:, dated 26 December, Annals of Philosophy New Series, 11 (Feb, 1826), 81–83.
256:, dated Bath, 17 January 1817, Annals of Philosophy, 9 (May, 1817), 378–381.
224:, dated Bath, 15 August 1815, Annals of Philosophy, 6 (Oct. 1815), 281–283.
269:
On reversion of series, especially in connection with the equation ψαψαx=x
240:, dated Bath, 3 October 1816 Annals of Philosophy, 8 (Nov. 1816), 388–389.
237:
Corrections of the paper inserted in the last number of the Annals, p. 279
56:. His contribution to approximation theory is honoured in the designation
348:
On the properties of the Dædaleum, a new instrument of optical illusion
280:, dated Bath, 1819, Math. Rep. New Series, 4 (1819), Part II, 131–136.
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I. On
Annuities. - II. Imaginary cube roots. - III. Roots of Binomials
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New demonstration of an original proposition in the theory of numbers
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in the mid-1840s, again largely at the instigation of T. S. Davies.
561: This article incorporates text from a publication now in the
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in the Chair. The article, with significant editorial notes by
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On the resolution of the irreducible case in cubic equations
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Considerations relative to an interesting case in equations
303:
On the solutions of the
Function ψx and their limitations,
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A complete edition of Horner's works was promised by
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New and important combinations with the Camera Lucida
26:
Not to be confused with the
British biblical scholar
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British school master and mathematician (1786–1837)
156:The Gentleman's Diary: or, Mathematical Repository
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428:
264:, Annals of Philosophy, 10 (Nov, 1817), 341–346.
36:(9 June 1786 – 22 September 1837) was a British
245:Formulas for estimating the height of mountains
206:However, Horner published on diverse topics in
165:At this stage, Horner's efforts turned more to
362:Frontpage of Horner's 1832 pamphlet on optics
86:The eldest son of the Rev. William Horner, a
372:Phil. Mag., Ser. 3, 4 (April, 1834), 262-271
105:
577:. London: Smith, Elder & Co. 1885–1900.
473:. EarlyCinema.com. Retrieved on 2011-10-11.
412:Phil. Mag., Ser. 3, 11 (Nov, 1837), 456-459
382:Phil. Mag., Ser. 3, 5 (Sept, 1834), 188-191
19:For other people named William Horner, see
485:. Wernernekes.de. Retrieved on 2011-10-11.
445:, Math. Rep., NS IV (1814), No. 12, 67–71.
398:On the theory of congeneric surd equations
500:. Taylor & Francis. 1834. p. 36.
388:On the signs of the trigonometrical lines
402:Phil. Mag., Ser. 3, 8 (Jan, 1836), 43-50
392:Phil. Mag., Ser. 3, 6 (Feb, 1836), 86-90
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352:Phil. Mag., Ser. 3, 4 (Jan, 1834), 36-41
542:Register of Kingswood School, 1748-1922
138:The Ladies' Diary: or, Woman's Almanack
601:Alumni of St John's College, Cambridge
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114:on the Dædalum (zoetrope) appeared in
66:for 1819. The modern invention of the
60:, in particular respect of a paper in
74:in 1834, has been attributed to him.
513:History of Mathematics: A Supplement
190:History of Mathematics: A Supplement
616:19th-century English mathematicians
438:, Math. Rep., NS IV (1814), 46-57 .
277:On popular methods of approximation
13:
410:, Communicated by T. R. Phillips,
312:, ibid, 11 (April, 1826), 241–246.
14:
627:
574:Dictionary of National Biography
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516:. New York, NY: Springer. 2008.
400:, Communicated by T. S. Davies,
336:'Natural Magic,’ a pamphlet on
332:, ibid, 12 (July, 1826), 48–51.
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21:William Horner (disambiguation)
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296:Extension of Theorem of Fermat
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120:only in January, 1834, he had
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429:Other contemporary literature
261:Solution of the equation ψx=x
90:minister, Horner was born in
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167:The Mathematical Repository
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208:The Philosophical Magazine
197:Philosophical Transactions
128:as early as August, 1815.
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106:Physical sciences, optics
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606:Scientists from Bristol
569:Horner, William George
497:Philosophical magazine
425:, but never appeared.
423:Thomas Stephens Davies
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186:Thomas Stephens Davies
117:Philosophical Magazine
361:
317:Reply to Mr. Herapath
94:. He was educated at
34:William George Horner
28:George William Horner
171:Annals of Philosophy
148:Annals of Philosophy
50:approximation theory
42:functional equations
544:(1923), p. 89.
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253:On cubic equations
110:Although Horner's
611:English inventors
201:The Mathematician
160:Butterfly theorem
70:, under the name
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596:1837 deaths
591:1786 births
552:Attribution
547:1861 Census
441:P. Barlow,
434:P. Barlow,
132:Mathematics
82:Family life
585:Categories
536:References
451:Principle
143:Thomson's
122:published
72:Daedaleum
471:Zoetrope
310:Art 9-17
88:Wesleyan
68:zoetrope
565::
330:Art 5-6
326:Art 1-4
305:Art 1-8
112:article
92:Bristol
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338:optics
54:optics
458:Notes
518:ISBN
100:Bath
48:and
571:".
124:on
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