Excerpt from Journal für die Reine und Angewandte Mathematik, 1885, Vol. 98: In Zwanglosen Heften; In r Heften
Parallelaxiom unabhängig; sie erleiden daher in den nicht-euklidischen Raumformen keine Aenderung. Ebenso bleibt das Beharrungsvermögen bestehen, und die Einheit der Kraft kann in der bekannten Weise auf die Einheit der Zeit und der Masse zurückgeführt werden; auch die Messung der Kraft macht theoretisch keine Schwierigkeit. Da ausserdem unendlich kleine Gebiete unserer Raumformen dieselben Eigenschaften haben, wie in der Euklidischen Geometrie, so bleibt das Parallelogramm der Bewegungen und der Kräfte für ein unendlich kleines Gebiet in Gültigkeit.
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Paperback. Etat : New. Print on Demand. This book explores the applications of non-Euclidean geometry to the field of mechanics, extending the well-known principles of motion beyond the confines of traditional Euclidean space. The author presents a novel framework for understanding the behavior of objects in these non-Euclidean realms, providing a deeper understanding of the fundamental laws governing motion and gravity. The book draws connections between the author's work and the broader history of mechanics, tracing the evolution of physical laws from the time of Newton to the present day. It delves into the complexities of potential theory and the intricate world of rigid body mechanics, offering fresh perspectives on these classical subjects. Throughout the book, the author's insights illuminate the profound implications of non-Euclidean geometry for our understanding of the physical world. This innovative approach provides a valuable resource for physicists, mathematicians, and anyone seeking a deeper understanding of the fundamental principles that govern the universe. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9780484926676_0
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9780484926676
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9780484926676
Quantité disponible : 15 disponible(s)