Galilean spiral
From Encyclopedia of Mathematics
A plane curve whose equation in polar coordinates is
 |
The spiral is symmetric with respect to the polar axis (see Fig.) and has a double point at the pole with tangents forming angles equal to 
with the polar axis.
Figure: g043080a
The polar axis of a Galilean spiral contains infinitely many double points, for which 
, where 
. The Galilean spiral is a so-called algebraic spiral (cf. Spirals). Named after G. Galilei (1683) in connection with his studies on the free fall of solids.
References
| [1] | A.A. Savelov, "Planar curves" , Moscow (1960) (In Russian) |
How to Cite This Entry:
Galilean spiral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Galilean_spiral&oldid=13942
Galilean spiral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Galilean_spiral&oldid=13942
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article