๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On W3-morphisms and the geometry of plane curves

โœ Scribed by Eduardo Ramos; Jaume Roca

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
304 KB
Volume
366
Category
Article
ISSN
0370-2693

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

The definition and computation of a metr
The definition and computation of a metric on plane curves
โœ James D Emery ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 252 KB

A n algorithm is given for computing a metric on piecewise linear curves. A bound for the distance between a piecewise linear approximation and a general curve alia ws the approximate computation of the metric on general curves. The algorithm has been successfully implemented in Fortran. geometry~ m

On the number of the cusps of cuspidal p
On the number of the cusps of cuspidal plane curves
โœ Keita Tono ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 125 KB

## Abstract In this paper, we estimate an upper bound of the number of the cusps of a cuspidal plane curve. We prove that a cuspidal plane curve of genus __g__ has no more than (21__g__ +17)/2 cusps. For example, a rational cuspidal plane curve has no more than 8 cusps and an elliptic one has no mo

The complexity of plane hyperbolic incid
The complexity of plane hyperbolic incidence geometry is โˆ€โˆƒโˆ€โˆƒ
โœ Victor Pambuccian ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 102 KB

We show that plane hyperbolic geometry, expressed in terms of points and the ternary relation of collinearity alone, cannot be expressed by means of axioms of complexity at most โˆ€โˆƒโˆ€, but that there is an axiom system, all of whose axioms are โˆ€โˆƒโˆ€โˆƒ sentences. This remains true for Klingenberg's genera