- In
classical algebraic geometry, a
tacnode (also
called a
point of
osculation or
double cusp) is a kind of
singular point of a curve. It is
defined as...
-
positive and
negative eigenvalues.
Singular point of a
curve Acnode Cusp
Tacnode Saddle point Weisstein, Eric W. "Crunode". Mathworld.
Retrieved 14 January...
- not
divide P1 then we have type
exactly A3 (the zero-level-set here is a
tacnode). If x1
divides P1 we
complete the
square on x 1 2 + P 1 {\displaystyle...
-
Singular solution Sinuosity Slope Space curve Spinode Square wheel Subtangent Tacnode Tangent Tangent space Tangential angle Torsion of
curves Trajectory Transcendental...
- nodosity, nodular, nodulation, nodule, nodulose, nodulus, nodus, supernode,
tacnode, trinodal,
uninodal nom- arrangement, law,
order Gr**** νόμος (nómos), νομή...
- internode, nodal, node, nodose, nodosity, nodular, nodule, nodulose,
tacnode †nodulus nodul-
nomen nomin- name agnomen, agnominal, agnomination, binomen...
- and a line or
three lines, and
accordingly have two
double points or a
tacnode (if a
conic and a line), or up to
three double points or a
single triple...
-
local maximum at the singularity.
Singular point of a
curve Crunode Cusp
Tacnode Hazewinkel, M. (2001) [1994], "Acnode",
Encyclopedia of Mathematics, EMS...
- nodosity, nodular, nodulation, nodule, nodulose, nodulus, nodus, supernode,
tacnode, trinodal,
uninodal nom- arrangement, law,
order Gr**** νόμος (nómos), νομή...
- x 3 − y 2 = 0 , {\displaystyle x^{3}-y^{2}=0,} also
called a
spinode A
tacnode: x 4 − y 2 = 0 {\displaystyle x^{4}-y^{2}=0} A
rhamphoid cusp: x 5 − y...