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

Mathematics(all)
History

Access to Document

10.1016/j.hm.2010.11.001

Cite this

@article{990341b2ba1348bfa95278f99b0e719a,

title = "Paolo Pizzetti: The forgotten originator of triangle comparison geometry",

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.",

keywords = "A.D. Alexandrov, Comparison geometry, Paolo Pizzetti, V.A. Toponogov",

author = "Victor Pambuccian and Tudor Zamfirescu",

year = "2011",

month = aug,

doi = "10.1016/j.hm.2010.11.001",

language = "English (US)",

volume = "38",

pages = "415--422",

journal = "Historia Mathematica",

issn = "0315-0860",

publisher = "Academic Press Inc.",

number = "3",

}

TY - JOUR

T1 - Paolo Pizzetti

T2 - The forgotten originator of triangle comparison geometry

AU - Pambuccian, Victor

AU - Zamfirescu, Tudor

PY - 2011/8

Y1 - 2011/8

N2 - 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.

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.

KW - A.D. Alexandrov

KW - Comparison geometry

KW - Paolo Pizzetti

KW - V.A. Toponogov

UR - http://www.scopus.com/inward/record.url?scp=79958047579&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958047579&partnerID=8YFLogxK

U2 - 10.1016/j.hm.2010.11.001

DO - 10.1016/j.hm.2010.11.001

M3 - Article

AN - SCOPUS:79958047579

SN - 0315-0860

VL - 38

SP - 415

EP - 422

JO - Historia Mathematica

JF - Historia Mathematica

IS - 3

ER -

Paolo Pizzetti: The forgotten originator of triangle comparison geometry

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this