## Problem of the Week

**Geometry Series #4**

-------10/29/07-------

*S* is a conic and *l* a line which does not lie in the plane of *S*, but meets *S* in a point *P*. Prove that if a projectivity is established between the joins of corresponding points of *l* and *S* in this projectivity form a regulus (The locus of lines meeting three given skew lines).

*(*

__Geometry: A Comprehensive Course__)