Quire

Generatrix

From Quire, the open reference·Geometric object moved along a path to generate a shape·1 min read

In geometry, a generatrix (/dʒɛnəˈreɪtrɪks/) or describent is a point, curve or surface that, when moved along a given path, generates a new shape.[1] The path directing the motion of the generatrix motion is called a directrix or dirigent.[2]

Examples#edit

A cone can be generated by moving a line (the generatrix) fixed at the future apex of the cone along a closed curve (the directrix); if that directrix is a circle perpendicular to the line connecting its center to the apex, the motion is rotation around a fixed axis and the resulting shape is a circular cone.[3]

The generatrix of a cylinder, a limiting case of a cone, is a line that is kept parallel to some axis.

See also#edit

References#edit

  1. ^ "generatrix". merriam-webster.com. Retrieved 11 September 2014.
  2. ^ "generatrix". mathopenref.com. Retrieved 11 September 2014.
  3. ^ "Cone". britannica.com. Retrieved 11 September 2014.


Categories Elementary geometryComputer graphicsElementary geometry stubs

This article is mirrored from “Generatrix” on English Wikipedia, revision 1249884001, written by Wikipedia's contributors and licensed CC BY-SA 4.0. Editing it here creates a Quire copy with its own history.

Synced with Wikipedia revision 1249884001 · just now