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- W2084204094 abstract "This article contains the hitherto unpublished text of Arthur Cayley's inaugural professorial lecture given at Cambridge University on 3 November 1863. Cayley chose a historical treatment to explain the prevalent basic notions of analytical geometry, concentrating his attention in the period (1638–1750). Topics Cayley discussed include the geometric interpretation of complex numbers, the theory of pole and polar, points and lines at infinity, plane curves, the projective definition of distance, and Pascal's and Maclaurin's geometrical theorems. The paper provides a commentary on this lecture with reference to Cayley's work in geometry. The ambience of Cambridge mathematics as it existed after 1863 is briefly discussed.Copyright 1999 Academic Press. Cet article contient le texte jusqu'ici inédit de la leçon inaugurale de Arthur Cayley donnée à l'Université de Cambridge le 3 novembre 1863. Cayley choisit une approche historique pour expliquer les notions fondamentales de la géométrie analytique, qui existaient alors, en concentrant son attention sur la période 1638–1750. Les sujets discutés incluent l'interpretation géométrique des nombres complexes, la théorie des pôles et des polaires, les points et les lignes à l'infini, les courbes planes, la définition projective de la distance, et les théorèmes géométriques de Pascal et de Maclaurin. L'article contient aussi un commentaire reliant cette leçon à l'oeuvre de Cayley en géométrie. L'atmosphère des mathématiques à Cambridge après 1863 est brièvement discutée.Copyright 1999 Academic Press. MSC Classification: 01A55, 01A72, 01A73." @default.
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- W2084204094 date "1999-05-01" @default.
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- W2084204094 title "Arthur Cayley as Sadleirian Professor: A Glimpse of Mathematics Teaching at 19th-Century Cambridge" @default.
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- W2084204094 doi "https://doi.org/10.1006/hmat.1999.2233" @default.
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