This is related to the fact that the plane curve Y ^ 2 = X ^ 3 has a singularity at the origin.
32.
Noether's method takes a plane curve and repeatedly applies quadratic transformations ( determined by a singular point and two points in general position ).
33.
Nagata's conjecture on curves concerns the minimum degree of a plane curve specified to have given multiplicities at given points; see also Seshadri constant.
34.
Most of Hudson's research was in the area of pure mathematics concerned with surfaces and plane curves, her special interest was in cremona transformation.
35.
With added data ( which strand is on top ), immersed plane curves yield knot diagrams, which are of central interest in knot theory.
36.
The "'conchoid ( s ) of de Sluze "'is a family of plane curves studied in 1662 by Ren?Fran�ois Walter, baron de Sluze.
37.
Newton also built the first practical reflecting telescope and developed a sophisticated roots of a function, and classified most of the cubic plane curves.
38.
Where r ( t ) measures the distance from the axis of rotation to the plane curve ( along lines perpendicular to the axis of rotation )?
39.
These ideas played a key role in the development of calculus in the 17th century and led to the discovery of many new properties of plane curves.
40.
A degenerate conic is a conic section ( a second-degree plane curve, defined by a polynomial equation of degree two ) that fails to be an irreducible curve.
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