Lituus
From Encyclopedia of Mathematics
A plane transcendental curve whose equation in polar coordinates is
 |
Figure: l059750a
To every value of 
correspond two values of 
, one positive and one negative. The curve consists of two branches, that both approach the pole asymptotically (see Fig.). The line 
is an asymptote at 
, and 
and 
are points of inflection. The lituus is related to the so-called algebraic spirals.
References
| [1] | A.A. Savelov, "Planar curves" , Moscow (1960) (In Russian) |
Comments
References
| [a1] | K. Fladt, "Analytische Geometrie spezieller ebener Kurven" , Akad. Verlagsgesell. (1962) |
| [a2] | F. Gomes Teixeira, "Traité des courbes" , 1–3 , Chelsea, reprint (1971) |
How to Cite This Entry:
Lituus. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lituus&oldid=32535
Lituus. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lituus&oldid=32535
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article