William George Horner - Publications

Publications

• New and important combinations with the Camera Lucida, dated Bath, 15 August 1815, Annals of Philosophy, 6 (Oct. 1815), 281-283.
• I. On Annuities. - II. Imaginary cube roots. - III. Roots of Binomials, dated Bath, 9 September 1816, Annals of Philosophy, 8 (Oct. 1816), 279-284.
• Corrections of the paper inserted in the last number of the Annals, p. 279, dated Bath, 3 October, 1816Annals of Philosophy, 8 (Nov. 1816), 388-389.
• Formulas for estimating the height of mountains, dated Bath, 13 February 1817 Annals of Philosophy, 9 (March, 1817), 251--252.
• On cubic equations, dated Bath, 17 January 1817, Annals of Philosophy, 9 (May, 1817), 378-381.
• Solution of the equation ${\psi}^{n}x=x$,Annals of Philosophy, 10 (Nov, 1817), 341-346.
• On reversion of series, especially in connection with the equation $\psi{\alpha}^{-1}\psi \alpha x=x$, dated Bath, 10 November 1817, Annals of Philosophy, 11 (Feb, 1818), 108-112.
• On popular methods of approximation, dated Bath, 1819, Math. Rep. New Series, 4 (1819), Part II, 131--136.
• 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, 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.
• Extension of Theorem of Fermat, dated 26 December, Annals of Philosophy New Series, 11 (Feb, 1826), 81-83.
• On the solutions of the Function ${\psi}^{z}x$ and their limitations, Art 1-8, dated Bath, 11 February 1826, Annals of Philosophy New Series, 11 (March, 1826), 168--183; Art 9-17, ibid, 11 (April, 1826), 241--246.
• Reply to Mr. Herapath, dated Bath, 2 April 1826, Annals of Philosophy New Series, 11 (May, 1826), 363
• On the use of continued fractions with unrestricted numerators in summation of series, Art 1-4, dated Bath, 24 April 1826, Annals of Philosophy New Series, 11 (June, 1826), 416–421; Art 5-6, ibid, 12 (July, 1826), 48-51.
• On the properties of the Dædaleum, a new instrument of optical illusion, Phil. Mag., Ser. 3, 4 (Jan, 1834), 36-41.
• On the autoptic spectrum of certain vessels within the eye, as delineated in shadow on the retina, Phil. Mag., Ser. 3, 4 (April, 1834), 262-271.
• Considerations relative to an interesting case in equations, Phil. Mag., Ser. 3, 5 (Sept, 1834), 188-191.
• On the signs of the trigonometrical lines, Phil. Mag., Ser. 3, 6 (Feb, 1836), 86-90.
• On the theory of congeneric surd equations, Communicated by T. S. Davies, Phil. Mag., Ser. 3, 8 (Jan, 1836), 43-50.
• New demonstration of an original proposition in the theory of numbers, Communicated by T. R. Phillips, Phil. Mag., Ser. 3, 11 (Nov, 1837), 456-459.