کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1158531 959366 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Paolo Pizzetti: The forgotten originator of triangle comparison geometry
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Paolo Pizzetti: The forgotten originator of triangle comparison geometry
چکیده انگلیسی

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.

RiassuntoIl teorema di confronto fra gli angoli di due triangoli geodetici con uguali lati descritti sopra superficie di curvature diverse, comunemente attribuito per il caso bidimensionale a A.D. Alexandrov (1948) e per il caso n-dimensionale riemanniano a V.A. Toponogov (1959), risale, per il caso bidimensionale, a Paolo Pizzetti (1907b). Oltre a proporre una correzione storica riguardante l’origine e i primi sviluppi della geometria di confronto, la presente nota indica anche alcuni possibili motivi per la predetta dimenticanza.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Historia Mathematica - Volume 38, Issue 3, August 2011, Pages 415–422
نویسندگان
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