Differential Geometry of Surfaces

Part of the Springer Undergraduate Mathematics Series book series (SUMS)


The basic techniques in the differential geometry of surfaces are developed, including maps of surfaces onto a plane. Beltrami’s Saggio (1868) and Teoria (1870) are discussed.

Extract: a lengthy series of passages from Beltrami’s Saggio.


Great Circle Euclidean Geometry Real Point Geodesic Triangle Limit Circle 


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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Department of MathematicsThe Open UniversityWalton Hall, Milton KeynesUnited Kingdom
  2. 2.The Mathematics InstituteThe University of WarwickWarwickUnited Kingdom

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