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The Royal Society: Science in the Making

Paper, 'On certain properties of square numbers and other quadratic forms with a table of odd numbers from 1 to 191 divided into 4, 3 or 2 square numbers, the algebraic sum of whose roots (positive or negative) may equal 1 - by means of which table all the odd numbers up to 9503 may be resolved into not exceeding 4 square numbers' by Sir [Jonathan] Fred [Frederick] Pollock

Reference number: PT/49/7

Date: 1853

Description

Subject: Mathematics

Published in Philosophical Transactions as 'On certain properties of square numbers and other quadratic forms, with a table of odd numbers from 1 to 191, divided into 4, 3 or 2 square numbers, the algebraic sum of whose roots (positive or negative) may equal 1, by means of which Table all the odd numbers up to 9503 may be resolved into not exceeding 4 square numbers'.

Received by the Royal Society on 20 December 1853. Read 23 December 1853.

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 6, 1854.

Reference number
PT/49/7
Earliest possible date
1853
Physical description
Ink on paper
Page extent
28 pages
Format
Manuscript

Creator name

Jonathan Frederick Pollock

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Citation

Jonathan Frederick Pollock, Paper, 'On certain properties of square numbers and other quadratic forms with a table of odd numbers from 1 to 191 divided into 4, 3 or 2 square numbers, the algebraic sum of whose roots (positive or negative) may equal 1 - by means of which table all the odd numbers up to 9503 may be resolved into not exceeding 4 square numbers' by Sir [Jonathan] Fred [Frederick] Pollock, 1853, PT/49/7, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/pt_49_7/paper-on-certain-properties-of-square-numbers-and-other-quadratic-forms-with-a-table-of-odd-numbers-from-1-to-191-divided-into-4-3-or-2-square-numbers-the-algebraic-sum-of-whose-roots-positive-or-negative-may-equal-1-by-means-of-which-table-all-the-odd-numbers-up-to-9503-may-be-resolved-into-not-exceeding-4-square-numbers-by-sir-jonathan-fred-frederick-pollock, accessed on 03 December 2024

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https://makingscience.royalsociety.org/items/pt_49_7/paper-on-certain-properties-of-square-numbers-and-other-quadratic-forms-with-a-table-of-odd-numbers-from-1-to-191-divided-into-4-3-or-2-square-numbers-the-algebraic-sum-of-whose-roots-positive-or-negative-may-equal-1-by-means-of-which-table-all-the-odd-numbers-up-to-9503-may-be-resolved-into-not-exceeding-4-square-numbers-by-sir-jonathan-fred-frederick-pollock

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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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