Mathematics and Its History pp 204-219 | Cite as

# Complex Numbers and Curves

Chapter

## Abstract

There is a close connection between intersections of algebraic curves and roots of polynomial equations, going back as far as Menaechmus’ construction of \(\sqrt[3]{2}\) (a root of the equation
whose intersections with the axis .

*x*^{3}= 2) by intersecting a parabola and a hyperbola (Section 2.4). The most direct connection, of course, occurs in the case of a polynomial curve$$ y = p\left( x \right)$$

(1)

*y*= 0 are just the real roots of the equation$$ p\left( x \right) = 0$$

(2)

## Keywords

Riemann Surface Branch Point Fundamental Theorem Algebraic Curf Coincident Point
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer Science+Business Media New York 1989