Geometric Properties Completely Characterizing, the Set of All the Curves of Constant, Pressure in a Field of Force (Classic Reprint) - Softcover
Inhaltsangabe
Excerpt from Geometric Properties Completely Characterizing, the Set of All the Curves of Constant, Pressure in a Field of Force
In the Princeton Colloquium lectures, 1909, Professor Edward Kasmer of Columbia University pointed out several unfinished problems connected with a field of force. He showed that the trajectories whose characteristics he had previously described (transactions of the American Mathematical Society, Vol. 7, No. 3, pp. 401 - 424, July, 1906) might be considered as a special case of either of two more general problems: to find curves along which a constrained motion is possible such that the pressure of the moving particle against the curve is (1) proportional to the normal component of the force or (2) constant.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Weitere beliebte Ausgaben desselben Titels
Suchergebnisse für Geometric Properties Completely Characterizing, the...
Foto des Verkäufers
Geometric Properties Completely Characterizing, the Set of All the Curves of
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Paperback. Zustand: New. Print on Demand. This book is a comparative analysis of curves along which constrained motion is possible, such that the pressure of the moving particle against the curve is either proportional to the normal component of the force or constant. The author, a University Professor, examines previous work on this subject and in so doing develops new geometric properties to supplement two previously identified properties of the subject. Expanding on the work of Sarah Elizabeth Cronin, the author proves that the first set of curves, dependent on a single parameter, has four properties. These properties show that the curves have osculating parabolas whose foci lie on a circle through the given point and hyperosculating circles whose centers lie on a conic through the given point. The author then proves that the second set of curves, dependent on two parameters, has eight properties. Several of these properties serve to geometrically construct the force vector in the field of force. Others show that the curves have osculating conics whose centers lie on a conic through the given point, a radius of curvature of conic I one-tenth the difference between the radius of curvature of conic I and the given curvature element, and a locus of the second center of curvature of conic I that is a cubic curve passing through the given point. The book shows the two sets of curves are characterizable solely by these properties, and through this work the author has added significantly to the body of knowledge on the subject of curves of constant pressure in a field of force. 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. Bestandsnummer des Verkäufers 9781331823070_0
Neu kaufen
EUR 15,44
Versand gratis
Versand von Vereinigtes Königreich nach USA
Versand von Vereinigtes Königreich nach USA
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Geometric Properties Completely Characterizing, the Set of All the Curves of Constant, Pressure in a Field of Force Classic Reprint
Anbieter: PBShop.store US, Wood Dale, IL, USA
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781331823070
Beispielbild für diese ISBN
Geometric Properties Completely Characterizing, the Set of All the Curves of Constant, Pressure in a Field of Force Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781331823070
Neu kaufen
EUR 20,65
EUR 3,80 Versand
Versand von Vereinigtes Königreich nach USA
Versand von Vereinigtes Königreich nach USA
Anzahl: 15 verfügbar