Real curve
Encyclopedia
In geometry
a real curve is an algebraic curve
that contains an infinite number of real point
s.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
a real curve is an algebraic curve
Algebraic curve
In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with circles and other conic sections.- Plane algebraic curves...
that contains an infinite number of real point
Real point
A point in the complex projective plane is called real if there exists a complex number z such that za, zb and zc are all real numbers.This definition can be widened to complex projective space and complex projective hyperspaces as follows:...
s.
See also
- Imaginary pointImaginary pointA point in the complex projective plane is called an imaginary point if there exists no complex number z such that za, zb and zc are real....
- Real pointReal pointA point in the complex projective plane is called real if there exists a complex number z such that za, zb and zc are all real numbers.This definition can be widened to complex projective space and complex projective hyperspaces as follows:...
- Imaginary lineImaginary lineIn general, an imaginary line is any sort of line that has only an abstract definition, and does not exist in fact.As a geographical concept, an imaginary line may serve as an arbitrary division . It may also be a standardized mark that serves as a measurement or point of reference ....
- Real lineReal lineIn mathematics, the real line, or real number line is the line whose points are the real numbers. That is, the real line is the set of all real numbers, viewed as a geometric space, namely the Euclidean space of dimension one...
- Imaginary curveImaginary curveIn geometry an imaginary curve is an algebraic curve which contains a finite number of real points.-See also:*Imaginary point*Real point*Imaginary line *Real line*Real curve...