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Published online by Cambridge University Press: 20 January 2009
Professor W. P. Milne has shown that if a pencil of plane cubic curves cut in two triads of points which are apolar to the members of the pencil, then the other three points of intersection also form an apolar triad to the pencil. I propose to show how to obtain a simple geometrical construction for the third apolar triad though the cubics in this case are not perfectly general. The method of approach is by means of Grassmann's construction for a cubic curve and the use of apolar theorems established for a curve described in this manner.
page 65 note 1 ProfMilne, W. P.. Proc. Edin. Math. Soc., vol. 30 (1911–1912).Google Scholar
page 65 note 2 Saddler, W.. Proc. Lond. Math. Soc. (2) 26 (1927), 249–256.CrossRefGoogle Scholar
page 66 note 1 Saddler, W.. loc. cit.Google Scholar
page 67 note 1 Milne, , loc. cit.Google Scholar
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