10 ENGLISH BOOKS RELATING TO «NEPHROID»
Discover the use of
nephroid in the following bibliographical selection. Books relating to
nephroid and brief extracts from same to provide context of its use in English literature.
1
The Universal Book of Mathematics: From Abracadabra to ...
Neile's parabola is the evolute of a parabola. nephroid A type of curve often seen
on the surface of a cup of coffee in the sunshine—a crescent of light formed by
sun- nephroid A nephroid curve spun by thread on a computer loom. Jos Leys ...
2
Practical Handbook of Spreadsheet Curves and Geometric ...
NEPHROID The nephroid is a kidney-shaped curve defined by x = fl(3cos(9)-cos(
39)), y = a(3sin(9)-sin(39)) The graph of Figure 2.47 is created from the deltoid
model of Figure 2.45 by setting the parameters a = b=\,e = g = -\ and d =/= c = 3 in
...
3
A Differential Approach to Geometry: Geometric Trilogy III
The name nephroid refers to the shape of this kidney-shaped curve. • A
parametric representation is given by f(t) = R(3 sint − sin3t,3 cost − cos 3t). • The
length is 24R. • The area is 12πR2. • The evolute is another nephroid, twice
smaller.
The last exercise shows that the tangent to the nephroid, regarded as a chord of
the circumscribing circle, is divided in the ratio 3 : 1 at the point of contact. Thus if
UQ (Fig. 49) touches the evolute at P', P'Q = \UQ = \QP = $P'P. Calling the area ...
5
Practical Applied Mathematics: Modelling, Analysis, ...
between the geometric optics interpretation of the solution and the sand-pile
interpretation, in which there is a ridge line joining the foci of the ellipse. Show
that the rays intersect the ridge line before they meet the caustic. 6 A string art
nephroid ...
6
Computational Line Geometry
The curve c of regression projects to a nephroid k. It turns out that also one of the
anticaustics is a nephroid. O Generalizations of Pythagorean-Hodograph Curves
A polynomial Pythagorean-hodograph space curve is a polynomial curve 1(t) ...
Helmut Pottmann, Johannes Wallner, 2001
7
New Horizons in Geometry
(3.14) When n —> oo, (3.14) becomes A I 4C, for the area of one arch of a
nephroid. The nephroid itself encloses two such arches, each of area 4C , plus
the inner disk of area 4C , giving another proof of the known result that a
nephroid ...
8
Modern Differential Geometry of Curves and Surfaces with ...
It has the polar equation r = 2a (Sin(0/2)2/3 + c The implicit equation is (x2 +y2 -
4a2)3 - 108 a4y2 = 0. A nephroid is a special case of an epicycloid. nephroid[a_]
[t_] i- {a*{3*Cos[t] - Cos[3*t]), a*(3*Sin[t] - Sin[3*t])} B.69. Appendix B: Curves 909.
9
MuPAD Pro Computing Essentials
Example 8.3 Freeths nephroid A curve called the Freeths nephroid has, in polar
coordinates, the equation r = a(l +2sin(0/2)), where 9 = 0. An and a is a positive
parameter. This equation leads us to a beautiful curve. • Nephroid := plot: :Polar(
...
10
Modeling of Curves and Surfaces with MATLAB®
The embroidery of the nephroid is similar to that of the cardioid. The only
difference is that the chords of the base circle join points from A with points from A
having index three times as large (Figure 6.9). m = 2; % m = 2 cardioid; m = 3
nephroid, ...
2 NEWS ITEMS WHICH INCLUDE THE TERM «NEPHROID»
Find out what the national and international press are talking about and how the term
nephroid is used in the context of the following news items.
Tabletop Review: The Godsfall
There are also the Nephroid which are crab people and in an eternal war with the Merfolk. There are some fantastic ideas here and I love all ... «diehard gamefan, Jan 15»
What the $*@&#! is the Nephroid of Freeth?
More commonly called Freeth's Nephroid (which makes it sound less like a tentacled devourer of souls and more like a little boy's pet monster), ... «Boing Boing, Nov 09»
