Paolo Pizzetti: The forgotten originator of triangle comparison geometry

Victor Pambuccian; Tudor Zamfirescu

doi:10.1016/j.hm.2010.11.001

Paolo Pizzetti: The forgotten originator of triangle comparison geometry

Victor Pambuccian, Tudor Zamfirescu

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The theorem comparing the angles of two geodesic triangles with the same side lengths lying on surfaces with different curvatures, commonly attributed for the two-dimensional case to A.D. Alexandrov (1948) and for the n-dimensional Riemannian case to V.A. Toponogov (1959), goes back, for the two-dimensional case, to Paolo Pizzetti (1907b). Besides suggesting a correction of the historical narrative regarding the development of comparison geometry, the present note also mentions possible reasons for the oversight.

Original language	English (US)
Pages (from-to)	415-422
Number of pages	8
Journal	Historia Mathematica
Volume	38
Issue number	3
DOIs	https://doi.org/10.1016/j.hm.2010.11.001
State	Published - Aug 2011

Keywords

A.D. Alexandrov
Comparison geometry
Paolo Pizzetti
V.A. Toponogov

ASJC Scopus subject areas

General Mathematics
History

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10.1016/j.hm.2010.11.001

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AB - The theorem comparing the angles of two geodesic triangles with the same side lengths lying on surfaces with different curvatures, commonly attributed for the two-dimensional case to A.D. Alexandrov (1948) and for the n-dimensional Riemannian case to V.A. Toponogov (1959), goes back, for the two-dimensional case, to Paolo Pizzetti (1907b). Besides suggesting a correction of the historical narrative regarding the development of comparison geometry, the present note also mentions possible reasons for the oversight.

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Paolo Pizzetti: The forgotten originator of triangle comparison geometry

Abstract

Keywords

ASJC Scopus subject areas

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