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Si-ci-spiral

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A plane curve whose equation in rectangular Cartesian coordinates has the form

where is the integral cosine, is the integral sine and is a real parameter (see Fig.).

Figure: s084980a

The arc length from to is equal to , and the curvature is equal to .

References

[1] E. Jahnke, F. Emde, F. Lösch, "Tafeln höheren Funktionen" , Teubner (1966)


Comments

References

[a1] M. Abramowitz, I.A. Stegun, "Handbook of mathematical functions" , Dover, reprint (1972)
How to Cite This Entry:
Si-ci-spiral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Si-ci-spiral&oldid=32696
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article