Abstract
1. A sketch of the first part of this paper, together with some of the second part, was first written out in October last, shortly after the publication of Mr Babbage's paper, A series of rational loci with one apparent double point. It is well known that the Del Pezzo quintic surface the only non-ruled quintic surface in [5], has one apparent double point; Babbage shows that this surface is a member of a series of loci in [2n + 1], each of which has one apparent double point; he establishes the existence of these loci from their representations on flat spaces ∑n, these representations being analogous to the plane representation of by means of cubic curves through four fixed points.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. Sulle rigate razionali in uno spazio lineare qualunque;Segre;Atti Torino,1884
2. Sulle rigate razionali in uno spazio lineare qualunque;Segre;Atti Torino,1884
3. Note in regard to surfaces in space of four dimensions, in particular rational surfaces
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