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… Expand

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… Expand

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… Expand

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… Expand

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… Expand