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Circles and spheres

In: Geometry Revealed

Author

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  • Marcel Berger

    (IHÉS, Bures-sur-Yvette, Institut des Hautes Études Scientifiques)

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.

Suggested Citation

  • Marcel Berger, 2010. "Circles and spheres," Springer Books, in: Geometry Revealed, chapter 0, pages 61-139, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-70997-8_2
    DOI: 10.1007/978-3-540-70997-8_2
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