Order and Continuity

H. S. M. Coxeter and George Beck
Additional contact information
H. S. M. Coxeter: University of Toronto, Department of Mathematics

Chapter Chapter 3 in The Real Projective Plane, 1993, pp 25-38 from Springer

Abstract: Abstract The order of arrangement of lines in a pencil, like that of points on a circle, is cyclic; we cannot say of three that one is between the other two, but we can say of four that two separate the other two. The correspondence between a pencil and its section enables us to carry over this cyclic order from pencils to ranges. If A and B separate C and D, we write AB//CD. (The idea of a point C lying between A and B belongs to affine geometry and may be interpreted as meaning that AB//CD, where D is the point at infinity on AB.)

Keywords: Invariant Point; Cyclic Order; Harmonic Conjugate; Diagonal Point; Real Projective Plane (search for similar items in EconPapers)
Date: 1993
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2734-2_3

Ordering information: This item can be ordered from
http://www.springer.com/9781461227342

DOI: 10.1007/978-1-4612-2734-2_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().