János Bolyai, Carl Friedrich Gauss, Nikolai Lobachevsky and the New Geometry: Foreword
نویسندگان
چکیده
Nearly 2300 years ago, the Greek mathematician Euclid of Alexandria laid down basis geometry now known from textbooks and used in everyday life [...]
منابع مشابه
Colloquia Mathematica Societatis János Bolyai
1 . Our investigations might be suggested by a sort of optimalization problem which could be described vividly in practical terms as follows : suppose we are given a network of routes on which there are critical points endangered by fire. We want to place fire stations at an appropriate number of points from which any endangered point can be reached within a given time interval in case of emerg...
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I n Vol. 56, No. 11, of Notices, I saw a fascinating article with the title: Changing Faces—The Mistaken Portrait of Legendre. The author, Peter Duren, writes with understandable bewilderment: “It seems incredible that such egregious error could have gone undetected for somany years.” This encouraged me to publish, in the same journal, the story—no less fascinating—of the real face of János Bol...
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{The treatise "Intensitas vis magneticae terrestris ad mensuram absolutam revocata" was read by Gauss at the Goettingen Gesellschaft der Wissenschaften (Royal Scientific Society) on December 15, 1832, and printed in Volume 8 of the treatises of this society, pp. 3-44. The translation from the Latin to the German was provided by Herr Oberlehrer Dr. Kiel in Bonn. Edited by E. Dorn, Leipzig, Wilhe...
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I n Vol. 56, No. 11, of Notices, I saw a fascinating article with the title: Changing Faces—The Mistaken Portrait of Legendre. The author, Peter Duren, writes with understandable bewilderment: “It seems incredible that such egregious error could have gone undetected for somany years.” This encouraged me to publish, in the same journal, the story—no less fascinating—of the real face of János Bol...
متن کاملApplications of Lobachevsky Geometry to the Relativistic Two-Body Problem
In this talk we consider the geometrical basis for the reduction of the relativistic 2-body problem, much like the non-relativistic one, to describing the motion of an effective particle in an external field. It is shown that this possibility is deeply related with the Lobachevsky geometry. The concept of relativistic reduced mass and effective relativistic particle is discussed using this geom...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15030707