No CrossRef data available.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Published online by Cambridge University Press: 20 January 2009
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
* 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).
You have
Access