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2004/10/22 | Chasles定理[Chasles's Theorem]
类别(∑〖数学〗)
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发表于 12:54
If two projective
pencils
of curves of orders
n
and
have no common curve, the
locus
of the intersections of corresponding curves of the two is a curve of order
through all the centers of either
pencil
. Conversely, if a curve of order
contains all centers of a
pencil
of order
n
to the multiplicity demanded by
Noether's fundamental theorem
,then it is the
locus
of the intersections of corresponding curves of this
pencil
and one of order
projective therewith.
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