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Sinopsis
Excerpt from A Treatise on Analytical Statics, Vol. 2: With Numerous Examples
Any function of two independent angular coordinates (such as the direction angles 0, <1; of the radius vector) which satisfies equation (7) is called a Laplace's function. Thus Y is a Laplace's function of the order n. The corresponding function a when expressed in terms of (at, y, z) satisfies Laplace's equation and is a spherical harmonic, Art. 161. A Laplace's function when expressed as a function of the Cartesian coordinates of the point at which the radius vector intersects some given sphere with its centre at the origin is called a spherical surface harmonic.
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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.
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Excerpt from A Treatise on Analytical Statics, Vol. 2: With Numerous Examples
Any function of two independent angular coordinates (such as the direction angles 0, <1; of the radius vector) which satisfies equation (7) is called a Laplace's function. Thus Y is a Laplace's function of the order n. The corresponding function a when expressed in terms of (at, y, z) satisfies Laplace's equation and is a spherical harmonic, Art. 161. A Laplace's function when expressed as a function of the Cartesian coordinates of the point at which the radius vector intersects some given sphere with its centre at the origin is called a spherical surface harmonic.
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.
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Excerpt from A Treatise on Analytical Statics, Vol. 2: With Numerous Examples
1. Law of attraction. If two particles of matter are placed at any sensible distance apart, they attract each other with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance.
2. The reasons for believing the truth of this general law cannot be properly explained until the reader has advanced some way in the study of dynamics. At the same time a large number of theorems which are independent of all dynamical considerations follow from this law. Experience has shown that it is important for the student to acquire an early acquaintance with these results, as he cannot prosecute his studies in the higher dynamics without their assistance. It has therefore been found advantageous to study the attractions of bodies as a part of statics. For this purpose we assume the truth of the law of attraction as a working hypothesis and postpone its verification as a law of nature until the student has read dynamics.
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.
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A Treatise on Analytical Statics, Vol 2 With Numerous Examples Classic Reprint
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A Treatise on Analytical Statics, Vol 2 With Numerous Examples Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330480175
Cantidad disponible: 15 disponibles
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A Treatise on Analytical Statics, Vol. 2: With Numerous Examples
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
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Paperback. Condición: New. Print on Demand. This book delves into the fascinating world of attraction, a fundamental force that governs the universe. It explores the Newtonian law of gravitation, which describes how objects with mass attract each other, and investigates the mathematical concepts used to calculate and understand these forces. The author meticulously examines the attraction of various geometric shapes, from simple rods and discs to complex surfaces and solids of revolution. The book also introduces the concept of potential, a crucial tool in understanding attraction. Potential, as defined by the author, is a measure of the energy stored in a system of attracting particles. The book goes on to explore the relationships between potential and force, and how these concepts can be applied to real-world scenarios. Through its rigorous analysis and exploration of these intricate mathematical concepts, the book provides a comprehensive and illuminating study of attraction, a subject that has captivated scientists and mathematicians for centuries. 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. Nº de ref. del artículo: 9781330480175_0
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