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Paper, ['Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c'] by [James Joseph] Sylvester

Reference number: PT/70/14

Date: 1864

Description

45 manuscript pages including one diagram showing two branches of a curve.

Subject: Mathematics

Published in Philosophical Transactions as 'Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c'.

Received by the Royal Society on 6 April 1864. Read 7 April l864.

Abstract published in Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London [later Proceedings of the Royal Society of London], Volume 13, 1864.

Reference number
PT/70/14
Earliest possible date
1864
Physical description
Ink on paper
Page extent
45 pages
Format
Manuscript

Creator name

James Joseph Sylvester

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Citation

James Joseph Sylvester, Paper, ['Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c'] by [James Joseph] Sylvester, 1864, PT/70/14, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/pt_70_14/paper-algebraical-researches-containing-a-disquisition-on-newtons-rule-for-the-discovery-of-imaginary-roots-and-an-allied-rule-applicable-to-a-particular-class-of-equations-together-with-a-complete-invariantive-determination-of-the-character-of-the-roots-of-the-general-equation-of-the-fifth-degree-c-by-james-joseph-sylvester, accessed on 08 February 2025

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  • Philosophical Transactions

    Dates: 1802-1865

    The 'Philosophical Transactions' collection comprises manuscript versions of papers published in The Philosophical Transactions of the Royal Society, the world’s first and longest continuously running journal dedicated to science.

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