generatrix
Sign in to saveIn geometry, a generatrix () or describent is a point, curve or surface that, when moved along a given path, generates a new shape. The path directing the motion of the generatrix motion is called a directrix or dirigent.
In the Vinony graph
Within Vinony's link graph, generatrix is referenced by 19 other articles, and connects out to geometry, point and cone.
Vinony files it under Computer graphics and Elementary geometry.
Its subject is documented across 10 Wikipedia language editions.
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Encyclopedic overview
3 sectionsContents
- Examples
- See also
- References
In geometry, a generatrix () or describent is a point, curve or surface that, when moved along a given path, generates a new shape. The path directing the motion of the generatrix motion is called a directrix or dirigent.
==Examples== 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.
Excerpted from Wikipedia’s “generatrix” article, available under the CC BY-SA 4.0 licence.