CĂRȚI ÎN ENGLEZĂ ÎN LEGĂTURĂ CU «CRUNODAL»
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3.2 A crunodal cubic Two branches of the crunodal cubic curve pass through the
origin, but in this case the tangents at the origin to the two branches are distinct.
The origin is a node. It is a double point at which the two branches have distinct ...
2
The History and Development of Nomography
If ∆ > 0 the curve is crunodal, if ∆ = 0 it is cuspidal and if ∆ < 0 it is acnodal. These
points can be illustrated with reference to three examples given in the section on
Clark's work. 3.5.1. Crunodal Form. f1f2f3 − 1 = 0 which produced the folium of ...
Harold Ainsley Evesham,
2011
3
Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable
A crunodal plane cubic in standard form has three remaining freedoms — the x
and y scales p and q, and the parameter value α of the x-axis intercept. Theorem
18.2 In standard form, the Pythagorean–hodograph cubics are all instances of
the ...
4
Canadian Mathematical Bulletin
__ _±_ _ Z2 1/3 2/3 It is an elementary but lengthy procedure to show that: (i) an
acnodal curve of the pencil/,=0 has at most four real inflexions, (ii) a crunodal
curve corresponding to a value of e such that — 4<e< — 16/9 has at least four
real ...
5
Japanese Journal of Mathematics
(10.14) K* = 4cota-K-2ai{l + cexp(ap*)Y/{l-eexp(ap*)}\ We have seen that the
locus of the poles of any double spiral having contact of at least the fourth order
with a given curve (M) at a point M is a crunodal bicircular quartic. Hence, if M
moves ...
6
On the forms of plane quartic curves ...
For the locus of equation (3) the non-divided crunodal tangents enter the
fundamental triangle, the abnodal do not. Typical projections are shown (Plate P,
Figs. 4', 4") for the two cases of non- divided crunodal and all abnodal tangents ...
7
The collected mathematical papers of Arthur Cayley ...
The oval may unite itself with the infinite branch, or it may dwindle into a point,
and we have the crunodal and the acnodal forms respectively ; or if
simultaneously the oval dwindles into a point and unites itself to the infinite
branch, we have the ...
The crunodal and acnodal cubics. Since the Plucker numbers of these cubics are
the same, the number of in-and-circumscribed polygons is the same in either
case. Theorem III. The number of n-sides polygons in-and-circwnscribed to either
...
9
The Encyclopaedia Britannica: a dictionary of arts, sciences ...
The oval may unite itself with the infinite branch, or it may dwindle into a point,
and we have the crunodal and the acnodal forms respectively; or if
simultaneously the oval dwindles into a point and unites itself to the infinit)
branch, we have the ...
Thomas Spencer Baynes,
1890
10
The Encyclopaedia Britannica: latest edition. A dictionary ...
The oval may unite itself with the infinite branch, or it may dwindle into a point,
and we have the crunodal and the acnodal forms respectively ; or if
simultaneously the oval dwindles into a point and unites itself to the infinite
branch, we have the ...
Day Otis Kellogg, Thomas Spencer Baynes, William Robertson Smith,
1902