- In mathematics, a
plane curve is a
curve in a
plane that may be a
Euclidean plane, an
affine plane or a
projective plane. The most
frequently studied cases...
-
algebraic plane curve is the zero set of a
polynomial in two variables. A
projective algebraic plane curve is the zero set in a
projective plane of a homogeneous...
- the
amount by
which a
curve deviates from
being a
straight line or by
which a
surface deviates from
being a
plane. If a
curve or
surface is contained...
- In mathematics, a
cubic plane curve is a
plane algebraic curve C
defined by a
cubic equation F ( x , y , z ) = 0 {\displaystyle F(x,y,z)=0} applied...
- In
algebraic geometry, a
quartic plane curve is a
plane algebraic curve of the
fourth degree. It can be
defined by a
bivariate quartic equation: A x 4...
-
differentiable curve. A
plane algebraic curve is the zero set of a
polynomial in two indeterminates. More generally, an
algebraic curve is the zero set...
- line (or
simply tangent) to a
plane curve at a
given point is, intuitively, the
straight line that "just touches" the
curve at that point.
Leibniz defined...
-
characteristic is
different from 2 and 3, then the
curve can be
described as a
plane algebraic curve which consists of
solutions (x, y) for: y 2 = x 3...
- one, space-filling
curves in the 2-dimensional
plane are
sometimes called Peano curves, but that
phrase also
refers to the
Peano curve, the
specific example...
-
Jordan curve theorem (JCT),
formulated by
Camille Jordan in 1887, ****erts that
every Jordan curve (a
plane simple closed curve)
divides the
plane into an...
