Circles and spheres

Marcel Berger ()
Additional contact information
Marcel Berger: IHÉS, Bures-sur-Yvette, Institut des Hautes Études Scientifiques

Chapter Chapter II in Geometry Revealed, 2010, pp 61-139 from Springer

Abstract: Abstract If the first chapter was essentially about affine and projective geometry, we now want to enter the Euclidean realm, i.e. we will now have a metric subj Metric at our disposal, a notion of distance between points, with subsidiary notions such as circles subj Circle and spheres. subj Sphere The basic reference for circles and spheres, completely authoritative at the time of its publication, is Coolidge (1916). We have made a critical selection from the enormity of classical results; see the very beginning of Sect. II.2. But of course above all we have chosen to talk about recent results, all the more if they require a climb up the ladder.

Keywords: Euclidean Plane; Hyperbolic Geometry; Cross Ratio; Conformal Representation; Circle Packing (search for similar items in EconPapers)
Date: 2010
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:978-3-540-70997-8_2

Ordering information: This item can be ordered from
http://www.springer.com/9783540709978

DOI: 10.1007/978-3-540-70997-8_2

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 ().