Accession Number:

AD0744704

Title:

Osculation Vertices in Arrangements of Curves

Descriptive Note:

Technical rept.

Corporate Author:

WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS

Personal Author(s):

• Erodoes, Paul
• Gruenbaum, Branko

Report Date:

1972-05-01

Pagination or Media Count:

23.0

Abstract:

One of the fundamental differences between arrangements of lines or similar linear patterns and arrangements of curves is the possibility of osculation vertices in arrangements of the latter kind. Bounds are obtained for the number of osculation vertices in three types of arrangements Appollonian, that is such in which all vertices are osculation vertices general arrangements of circles arrangements of circles. The topic has connections to packing problems, as well as to graph theory and the theory of numbers.

Descriptors:

• *TOPOLOGY
• GRAPHICS
• THEOREMS
• INEQUALITIES
• CURVE FITTING
• NUMBER THEORY

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE