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
Use this record
Export this record
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
Link to this record
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
Embed this record
<iframe src="https://makingscience.royalsociety.org/embed/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" title="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" allow="fullscreen" frameborder="0" width="100%" height="500px"></iframe>
Related Publications
-
II. An inquiry into Newton’s rule for the discovery of imaginary roots External link, opens in new tab.
Date: 31st December 1864
DOI: 10.1098/rspl.1863.0044
-
XVII 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 External link, opens in new tab.
Date: 31st December 1864
DOI: 10.1098/rstl.1864.0017
Related Records
-
Referee's report by Arthur Cayley, on a 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
Creator: Arthur Cayley Reference number: RR/5/267 -
Referee's report by Henry John Stephen Smith, on a 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
Creator: Henry John Stephen Smith Reference number: RR/5/268 -
Referee's report by Arthur Cayley, on a 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
Creator: Arthur Cayley Reference number: RR/5/269
Hierarchy
This item is part of:
-
-
Manuscripts of papers published in Philosophical Transactions, 1864
March 1862 - September 1864 Reference number: PT/70
Related Fellows
-
James Joseph Sylvester
Author -
Isaac Newton
Mentioned
Explore the collection
-
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.View collection