PREFACE
ACKNOWLEDGMENTS
PART I • THE BACKGROUND TO NEWTON'S SOLUTION
1. A Simplified Solution: The Area Law, the Linear Dynamics
Ratio, and the Law of Gravitation
2. An Overview of Newton's Dynamics: The Problem of the Planets and
the Principia
3. Newton's Early Dynamics: On Uniform Circular Motion
PART II • A GUIDED STUDY TO NEWTON'S SOLUTION
4. The Paradigm Constructed: On Motion,Theorems 1, 2, and
3
5. The Paradigm Applied: On Motion, Problems 1, 2, and 3
6. The Paradigm Extended: On Motion,Theorem 4 and Problem
4
PART III • THE REVISIONS AND EXTENSIONS
TO NEWTON'S SOLUTION
7. The Principia and Its Relationship to On Motion: A Reference
Guide for the Reader
8. Newton's Unpublished Proposed Revisions: Two New Methods
Revealed
9. Newton's Published Recast Revisions:Two New Methods
Concealed
10. Newton's Dynamics in Modem Mathematical Dress:The Orbital
Equation and the Dynamics Ratios
APPENDIX
An English Translation of Sections 1, 2, and 3 of Book One from the
First (1687) Edition of Newton's Mathematical Principles of Natural
Philosophy
NOTES
REFERENCES
INDEX TO THE GUIDED STUDY AND THE TRANSLATION
GENERAL INDEX
J. Bruce Brackenridge is Alice G. Chapman Professor of Physics at Lawrence University.
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