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The First Three Sections of Newton's Principia: With an Appendix, and the Ninth and Eleventh Sections (Classic Reprint) - Softcover
Synopsis
Excerpt from The First Three Sections of Newton's Principia: With an Appendix, and the Ninth and Eleventh Sections
Now since the quantities or ratios tend continually to equality, the ratio of their difference to either of them must always be greater than that of the difference of their limits to either of the limits, that is than D L or D L D, either of which is a finite ratio. But by the hypothesis the ratio of their difference to either of them may be made less than any finite ratio, which is absurd; therefore the limits are not unequal, that is, they are equal.
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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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About the Author
I. Bernard Cohen (1914-2003) was Victor S. Thomas Professor (Emeritus) of the History of Science at Harvard University. Among his recent books are "Benjamin Franklin's Science" (1996), "Interactions" (1994), and "Science and the Founding Fathers" (1992). Anne Whitman was coeditor (with I. Bernard Cohen and Alexander Koyre) of the Latin edition, with variant readings, of the "Principia" (1972). Julia Budenz, author of "From the Gardens of Flora Baum" (1984), is a multilingual classicist and poet.
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The First Three Sections of Newton's Principia: With an Appendix
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Paperback. Condition: New. Print on Demand. This book is an extensive exploration of the principles and applications of conic sections, regarded as a foundational work in the history of mathematics. The author begins with essential definitions and lemmas about curves and tangents and develops the theory of conic sections from the ground up. Drawing on the work of Apollonius, the author derives the fundamental properties of ellipses, parabolas, and hyperbolas from a single definition based on the distance to a fixed point and a fixed straight line. The book also explores the motion of bodies in conic sections under the influence of a central force and discusses the relationship between the force and the shape of the orbit. Through a meticulous and insightful examination of conic sections, this book provides a comprehensive understanding of these geometric forms and their applications in the study of motion and forces. 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. Seller Inventory # 9781331882978_0
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The First Three Sections of Newton's Principia With an Appendix, and the Ninth and Eleventh Sections Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781331882978
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The First Three Sections of Newton's Principia With an Appendix, and the Ninth and Eleventh Sections Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781331882978
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