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The Royal Society: Science in the Making

Unpublished paper, 'On Sir Isaac Newton's method of finding the limits of the roots of equations' by Herbert Panmure Ribton

Reference number: AP/28/18

Date: 20 December 1845

Description

Ribton suggests that by generalising from successive inductions of equations, a formula more universal than Newton's Binomial could be found.

Subject: Mathematics

Communicated by J G [John George] Children.

Written by Ribton at 5 Upper Gardiner Street, Dublin.

An abstract of the paper was published in volume 5 of Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London [later Proceedings of the Royal Society] as 'On Sir Isaac Newton's Method of finding the Limits of the Roots of Equations'.

Reference number
AP/28/18
Earliest possible date
20 December 1845
Physical description
Ink on paper
Page extent
2 pages
Format
Manuscript

Creator name

Herbert Panmure Ribton

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Citation

Herbert Panmure Ribton, Unpublished paper, 'On Sir Isaac Newton's method of finding the limits of the roots of equations' by Herbert Panmure Ribton, 20 December 1845, AP/28/18, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/ap_28_18/unpublished-paper-on-sir-isaac-newtons-method-of-finding-the-limits-of-the-roots-of-equations-by-herbert-panmure-ribton, accessed on 16 August 2026

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https://makingscience.royalsociety.org/items/ap_28_18/unpublished-paper-on-sir-isaac-newtons-method-of-finding-the-limits-of-the-roots-of-equations-by-herbert-panmure-ribton

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  • Archived Papers

    The 'Archived Papers' collection is comprised of original manuscript scientific papers and letters submitted to the Royal Society which remained unpublished or were abstracted in the journal 'Proceedings of the Royal Society' published from 1830 onwards.

    Dates: 1768 - 1989

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