2004 | OriginalPaper | Buchkapitel
The slope problem
verfasst von : Martin Aigner, Günter M. Ziegler
Erschienen in: Proofs from THE BOOK
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Try for yourself before you read much further to construct configurations of points in the plane that determine “relatively few” slopes. For this we assume, of course, that the n > 3 points do not all lie on one line. Recall from Chapter 9 on “Lines in the plane” the theorem of Erdös and de Bruijn: the n points will determine at least n different lines. But of course many of these lines may be parallel, and thus determine the same slope.