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In geometry, generatrix or generator is a point, curve or surface that, when moved generates a new shape.[1] The path of the generatrix motion is called directrix.[2] For example, a cone can be created by rotating a line about intersecting axis.[3] Generatrix of a cylinder is parallel to the axis.

References

"generatrix". merriam-webster.com. Retrieved 11 September 2014.
"generatrix". mathopenref.com. Retrieved 11 September 2014.
"Cone". britannica.com. Retrieved 11 September 2014.

Mathematics Encyclopedia