Pencil (mathematics)

（重定向自Pencil of curves）

The Apollonian circles, two orthogonal pencils of circles

A pencil in projective geometry is a family of geometric objects with a common property, for example the set of lines that pass through a given point in a projective plane.

More generally, a pencil is the special case of a linear system of divisors in which the parameter space is a projective line. Typical pencils of curves in the projective plane, for example, are written as

单词	Pencil of curves
释义	Pencil of curves 英语百科 Pencil (mathematics) （重定向自Pencil of curves） A pencil in projective geometry is a family of geometric objects with a common property, for example the set of lines that pass through a given point in a projective plane. More generally, a pencil is the special case of a linear system of divisors in which the parameter space is a projective line. Typical pencils of curves in the projective plane, for example, are written as
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