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Matthew Stewart's Theorem
Published online by Cambridge University Press: 20 January 2009
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In 1746, when he was a candidate for the Chair of Mathematics in the University of Edinburgh rendered vacant by the death of Maclaurin, Matthew Stewart published his first work, Some General Theorems of considerable use in the higher parts of Mathematics. In the preface to it he states that “the theorems contained in the following sheets . … are entirely new, save one or two at most,” but he does not specify the two. They are
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- Copyright © Edinburgh Mathematical Society 1891
References
* The enunciations of these theorems have been modernised.
* Sinison's mode of statement has been somewhat modernised.
† It may be well to quote Simson's own words:
Lemmate hoc usus sum … antequam inveneram Lem. 10. Alias autem ejus demonstrationes, olim, hortatu meo, excoyilarunt discipuli quondam mei Dominus Jacobus Moor et Dominus Matthaeus Steuart … Et demonstratio quidem Dom. Jac. Moorsimilis omnino est iis quae habentur in Prop. 9 et Prop. 10, Lib. 2 Element. Euclidis, quas Lemmatti hujus casus esse simplicissimos recte observavit. Dom. Matth. Steuart aliam eliam etiam casus Lem. 10 demonatrationem dedit in Prop. 1 et 2 libri sui de quibusdam Theorematibus generalibus, &c. … ejusque usum in eximiis quibusdam propotitionibus demonstrandis ostendit.
* See after Problem 31.
† Acta Academiae … Petropolitanae, Part I., pp. 92–3.
‡ Géométrie de Position, pp. 262–3.
* Apergu Historique, 2nd ed., pp. 175–6 (1875).
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