𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Measurement of Length in Random Arrangements of Lines

✍ Scribed by B. A. Marsh

Book ID
123612940
Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
228 KB
Volume
8
Category
Article
ISSN
0021-8901

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Triangles in arrangements of lines
Triangles in arrangements of lines
✍ Thomas O Strommer πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 325 KB
Triangles in arrangements of lines
Triangles in arrangements of lines
✍ G.B. Purdy πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 486 KB

A set of n nonconcurrent lines in the projective plane (called an arrangement) divides the plane into polygonal cells. It has long been a problem to find a nontrivial upper bound on the number of triangular regions. We show that &n(n -1) is such a bound. We also show that if no three lines are concu

On Envelopes of Arrangements of Lines
On Envelopes of Arrangements of Lines
✍ D. Eu; E. GuΓ©vremont; G.T. Toussaint πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 436 KB

The envelope of an arrangement of lines is the polygon consisting of the finite length segments that bound the infinite faces of the arrangement. We study the Ε½ geometry of envelope polygons simple polygons that are the envelope of some . arrangement . We show that envelope polygons are L-convex and