| The Key to Newton's Dynamics |
| PREFACE |
| ACKNOWLEDGMENTS |
 | PART ONE— THE BACKGROUND TO NEWTON'S SOLUTION |
 | One— A Simplified Solution: The Area Law, the Linear Dynamics Ratio, and the Law of Gravitation |
| Two— An Overview of Newton's Dynamics: The Problem of the Planets and the Principia |
| • | The Direct Problem |
| • | Newton's Debt to Descartes |
| • | Kepler's Law of Equal Areas and the Polygonal Approximation |
| • | Newton's Debt to Galileo |
| • | The Parabolic Approximation and the Linear Dynamics Ratio |
| • | Elliptical Orbits and the Parabolic Approximation |
| • | The Circular Approximation and the Circular Dynamics Ratio |
| • | Conclusion |
| Three— Newton's Early Dynamics: On Uniform Circular Motion |
| PART TWO— A GUIDED STUDY TO NEWTON'S SOLUTION |
| Four— The Paradigm Constructed: On Motion , Theorems 1, 2, and 3 |
| Five— The Paradigm Applied: On Motion , Problems 1, 2, and 3 |
| Six— The Paradigm Extended: On Motion , Theorem 4 and Problem 4 |
| PART THREE— THE REVISIONS AND EXTENSIONS TO NEWTON'S SOLUTION |
| Seven— The Principia and its Relationship to On Motion : A Reference Guide for the Reader |
| Eight— Newton's Unpublished Proposed Revisions: Two New Methods Revealed |
| Nine— Newton's Published Recast Revisions: Two New Methods Concealed |
| Ten— Newton's Dynamics in Modern Mathematical Dress: The Orbital Equation and the Dynamics Ratios |
| APPENDIX |
| Notes |
| REFERENCES |
| INDEX TO THE GUIDED STUDY AND THE TRANSLATION |
| GENERAL INDEX |