Pascal Ovals in Projective Planes
- 1 January 1969
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 21, 1462-1476
- https://doi.org/10.4153/cjm-1969-160-4
Abstract
A projective plane consists of a set of points and a set of lines, together with a relation of incidence between points and lines, such that(i) any two distinct points P, Q are incident with a unique line PQ,(ii) any two distinct lines p, q are incident with a unique point p ∩ q,(iii) there exist four points, no three of which are incident with the same line.We shall use the usual geometrical terminology.An oval in a projective plane π is a set of points of π such that:(i) no three points of are collinear; this means that a line of π is either a secant of , containing two points of , or a tangent of , containing just one point of , or a non-secant of , containing no point of ;Keywords
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