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9781330146064: The Doctrine of Germs: Or the Integration of Certain Partial Differential Equations Which Occur in Mathematical Physics (Classic Reprint)

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Excerpt from The Doctrine of Germs: Or the Integration of Certain Partial Differential Equations Which Occur in Mathematical Physics

In the present as in a former work (1863) I have commenced with an elementary treatment of the general conic z'n plano, following out a suggestion made by Professor Adams in a course of lectures on the Lunar Theory delivered in 1861. This department of the subject has now been made more complete with the help of the Eccentric Circle, the characteristic feature of a masterly though neglected work of Boscovich. In the chapter on the Cone the focal spheres are more fully discussed, and the angle-properties of the sections as well as their metric properties are deduced. The chapter on Orthogonal Projection contains proofs of Lambert's theorem in elliptic motion. To the chapter on Conical Projection is appended some account of the homographic method of Rever.

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Earnshaw, S.
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ISBN 10: 1330146069 ISBN 13: 9781330146064
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Earnshaw, S.
Editore: Forgotten Books, 2018
ISBN 10: 1330146069 ISBN 13: 9781330146064
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S. Earnshaw
Editore: Forgotten Books, 2017
ISBN 10: 1330146069 ISBN 13: 9781330146064
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Paperback. Condizione: New. Print on Demand. This book provides a comprehensive overview of the history of geometry from the ancient Egyptians to the pre-Euclidean period, aiming to deepen the reader's understanding of how the subject developed from its rudimentary beginnings to the form in which it was presented in the Elements. It presents the latest research on the history of geometry, drawing on ancient sources to trace the theoretical and practical development of geometry in Egypt, Greece and other early civilisations. The author demonstrates the diverse foundations and methodologies that existed within geometry before Euclid, and how Greek mathematicians of the Classical period gradually transformed it into a rational and abstract science, culminating in Euclid's systematic axiomatic approach. Exploring how the key ideas of geometry were discovered and developed, the book reveals how geometry played a central role in the scientific and philosophical thinking of the ancient world. Its insights shed new light on the intellectual history of antiquity and reinforce the significance of geometry as a foundational discipline for mathematics and other fields of knowledge. 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. Codice articolo 9781330146064_0

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