Noether's Fundamental Theorem
If two curves 
and 
of Multiplicities 
and 
have only ordinarypoints or ordinary singular points and Cusps in common, then every curve which has at leastMultiplicity
at every point (distinct or infinitely near) can be written
where the curves
and 
have Multiplicities at least 
and 
.
References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, pp. 29-30, 1959.
- Euclidean Group
- Euclidean Metric
- Euclidean Motion
- Euclidean Norm
- Euclidean Number
- Euclidean Plane
- Euclidean Space
- Euclid Number
- Euclid's Axioms
- Euclid's Elements
- Euclid's Fifth Postulate
- Euclid's Postulates
- Euclid's Principle
- Euclid's Theorems
- Eudoxus's Kampyle
- Euler Angles
- Euler-Bernoulli Triangle
- Euler Brick
- Euler Chain
- Euler Characteristic
- Euler Constant
- Euler Curvature Formula
- Euler Differential Equation
- Euler Equation
- Euler Formula