Subtangent and subnormal
From Encyclopedia of Mathematics
The directed segments and
which are the projections on the
-axis of the segments of the tangent line
and the normal
to a certain curve at a point
(see Fig.).
Figure: s091040a
If the curve is the graph of a function , the values of the subtangent and subnormal are equal to
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respectively, where is the abscissa of the point
. If the curve is given parametrically by
![]() |
then
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where is the value of the parameter defining the point
on the curve.
Comments
References
[a1] | M. Berger, "Geometry" , II , Springer (1989) |
[a2] | F. Gomes Teixeira, "Traité des courbes" , 1–3 , Chelsea, reprint (1971) |
[a3] | H. Lamb, "Infinitesimal calculus" , Cambridge (1924) pp. 118 |
How to Cite This Entry:
Subtangent and subnormal. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Subtangent_and_subnormal&oldid=14018
Subtangent and subnormal. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Subtangent_and_subnormal&oldid=14018
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article