Cesàro curve
From Encyclopedia of Mathematics
A plane curve whose radius of curvature 
at any point 
is proportional to the segment of the normal cut off by the polar (line) of 
with respect to a certain circle. The natural equation of a Cesàro curve is
 |
where 
is a constant and 
is a real number. Investigated by E. Cesàro [1].
References
| [1] | E. Cesàro, "Vorlesungen über natürliche Geometrie" , Teubner (1901) |
| [2] | A.A. Savelov, "Planar curves" , Moscow (1960) (In Russian) |
How to Cite This Entry:
Cesàro curve. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ces%C3%A0ro_curve&oldid=22279
Cesàro curve. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ces%C3%A0ro_curve&oldid=22279
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article