Asymptotes, Cubic Curves, and the Projective Plane

@article{Nunemacher1999AsymptotesCC,
  title={Asymptotes, Cubic Curves, and the Projective Plane},
  author={Jeffrey Nunemacher},
  journal={Mathematics Magazine},
  year={1999},
  volume={72},
  pages={183-192}
}
  • J. Nunemacher
  • Published 1 June 1999
  • Mathematics
  • Mathematics Magazine
(1999). Asymptotes, Cubic Curves, and the Projective Plane. Mathematics Magazine: Vol. 72, No. 3, pp. 183-192. 

Figures from this paper

Asymptotes of Plane Curves - Revisited
In this paper we present a review of the basic ideas and results concerning asymptotic lines of plane curves. We discuss their different definitions, namely that of a limiting position of tangent
Flash Geometry of Algebraic Curves
In this paper, we develop the theory of flashes of an algebraic curve. We show that the theory is birationally invariant in a sense which we will make more precise below. We also show how the theory
Basic Concept on Asymptotes in Calculus
Abstract In analytical geometry an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tend to infinity. Some

References

SHOWING 1-9 OF 9 REFERENCES
Complex Algebraic Curves
1. Introduction and background 2. Foundations 3. Algebraic properties 4. Topological properties 5. Riemann surfaces 6. Differentials on Riemann surfaces 7. Singular curves Appendices.
Plane Algebraic Curves
I. History of algebraic curves.- 1. Origin and generation of curves.- 2. Synthetic and analytic geometry.- 3. The development of projective geometry.- II. Investigation of curves by elementary
Aspects of Calculus
1 The Logarithmic and Exponential Functions.- 1. An Area Problem.- 2. The Natural Logarithm.- 3. The Exponential Function.- 4. The Hyperbolic Functions.- 5. Miscellaneous Examples.- Exercises to
An Elenlentnry Treatise orr Curve Tracitrg
  • 1911
Newton's in\~estigation of cubic curves, in Problerns for Student Investigation, M M Notes Number 30, IvIath
  • Assoc, of America,
  • 1993
Complex Algebraic Curves: Contents
Conrpler Algebraic Curves
  • 1992
Calculzls with Ailalytic Geo~netr!y
  • 1985