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The Royal Society: Science in the Making

Unpublished paper, 'On the differential invariants of twisted curves with some illustrations of the application to quartic curves' by R F Gwyther

Reference number: AP/70/12

Date: 1894

Description

The object of this paper is to obtain relations connecting what [Georges-Henri] Halphen calls the canonical invariants of the curve, without the intervention of what are called by him the fundamental invariants. In any geometrical investigation it is the canonical invariants which present themselves, and the relations between the consecutive canonical invariants, and the values of their differential coefficients must, if the method of investigation is to be used, be expressed, in terms of canonical invariants only, without the intervention of the other series of invariants which Halphen treats as fundamental.

Annotations in pencil and ink throughout.

Subject: Mathematics

Received 31 May 1894. Read 21 June 1894. Communicated by Sir Horace Lamb.

Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 56 of the Proceedings of the Royal Society as 'The differential covariants of twisted curves, with some illustrations of the application to quartic curves'.

Reference number
AP/70/12
Earliest possible date
1894
Physical description
Ink and graphite pencil on paper
Page extent
68 pages
Format
Manuscript

Creator name

R F Gwyther

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Citation

R F Gwyther, Unpublished paper, 'On the differential invariants of twisted curves with some illustrations of the application to quartic curves' by R F Gwyther, 1894, AP/70/12, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/ap_70_12/unpublished-paper-on-the-differential-invariants-of-twisted-curves-with-some-illustrations-of-the-application-to-quartic-curves-by-r-f-gwyther, accessed on 25 April 2025

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https://makingscience.royalsociety.org/items/ap_70_12/unpublished-paper-on-the-differential-invariants-of-twisted-curves-with-some-illustrations-of-the-application-to-quartic-curves-by-r-f-gwyther

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is comprised of original manuscript scientific papers and letters submitted to the Royal Society which remained unpublished or were abstracted in the journal 'Proceedings of the Royal Society' published from 1830 onwards.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