KSIĄŻKI POWIĄZANE ZE SŁOWEM «RHAMPHOID»
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1
Geometric Differentiation: For the Intelligence of Curves ...
That is, the rhamphoid cusp on r is special if and only if n3 = 3An2. An analogous
discussion then proves that the latter equation holds if and only if n5 = a'n2 + l(
Un4, for some a'. That is, the rhamphoid cusp on the dual curve n is ordinary or ...
2
Curves and Singularities: A Geometrical Introduction to ...
The object of the following exercises is to show that no such local diffeomorphism
<f> exists, and to draw a distinction between ordinary and rhamphoid cusps - two
orders of nastiness for cusped curves. In the remainder of the section we get ...
James William Bruce, P. J. Giblin, 1992
Note the different shapes of these cusps depending on the different limiting radii
of curvature, and on whether or not the cusp is rhamphoid. Exercises 8.12. For
each of the following curves, show that there is a cusp at the origin, and classify
the ...
4
Proceedings of the Cambridge Philosophical Society: ...
[33] Sextic with rhamphoid cusp. [33] x [ ] Sextic with rhamphoid cusp and node. [
33] x [ f Sextic with rhamphoid cusp and two nodes. [33] x [3] Sextic with
rhamphoid cusp and ordinary cusp. [33] x [3] x [ ] Sextic with rhamphoid cusp,
ordinary ...
5
The Quarterly Journal of Pure and Applied Mathematics
Rhamphoid Cuspidal Curves. 26. By pursuing a method similar to that employed
in the case of a cuspidal curve, it can be shown that the equation of a surface
possessing a rhamphoid cuspidal carve is S'U._u+2a*SV„_t+O>Wn_t=0 (4»), ...
James Joseph Sylvester, James Whitbread Lee Glaisher, 1908
6
Collected Mathematical Papers
has the form of the cusp of the second species, or rhamphoid cusp. There is an
apparent inflexion at the rhamphoid cusp, because, if a person describing the
curve continuously passes through the cusp, the concavity of the curve is to his
right ...
Henry John Stephen Smith, James Whitbread Lee Glaisher, 1965
7
Classical Algebraic Geometry: A Modern View
... its tangent line plus another line; A1 + A2 + A3: cuspidal cubic and its tangent;
A6: one oscular rhamphoid cusp (three infinitely near x1 >- x2 >- x1 cusps); A2 +
A4: one rhamphoid cusp and a cusp; E7: cuspidal cubic and its cuspidal tangent;
...
8
Quarterly Journal of Pure and Applied Mathematics
The solution 4q = N' leads to a triple point consisting of a branch which passes
through a rhamphoid cusp, and its constituents are 8=3, « = 1, t = 1, i=l. When q =
N= 0, the branch touohes the cuspidal tangent, but the curve is now of the form ...
James Joseph Sylvester, James Whitbread Lee Glaisher, 1905
9
Quarterly Journal of Pure and Applied Mathematics
I shall now discard the phrase “singular points of the second order,” which I
employed for want of a better one in my paper on Certain Singularities qf Plane
Curves, §5; as well as the phrase “rhamphoid cusp,” as a designation of the cusp
of the ...
Dr. Peter Mark Roget. hooked; falciform†, falcated†; semicircular, crescentic;
sinusoid [Geom.], parabolic, paraboloid; luniform†, lunular†; semilunar,
conchoidal†; helical, double helical, spiral; kinky; cordiform†, cordated†; cardioid;
heart ...
