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The Mathematical Principles of Natural Philosophy

Introduction To The American Edition

Life Of Sir Isaac Newton

The Author's Preface

Axioms, Or Laws Of Motion

OF THE MOTION OF BODIES

Section 1. Of The Method Of First And Last Ratios Of Quantities, By The Help Whereof We Demonstrate The Propositions That Follow

Section 2. Of The Invention Of Centripetal Forces

Section 4. Of The Finding Of Elliptic, Parabolic, And Hyperbolic Orbits, From The Focus Given

Section 5. How The Orbits Are To Be Found When Neither Focus Is Given

Section 6. How The Motions Are To Be Found In Given Orbits

Section 8. Of The Invention Of Orbits Wherein Bodies Will Revolve, Being Acted Upon By Any Sort Of Centripetal Force

Section 9. Of The Motion Of Bodies In Moveable Orbits; And Of The Motion Of The Apsides

Section 10. Of The Motion Of Bodies In Given Superficies, And Of The Reciprocal Motion Of Funependulous Bodies

Section 11. Of The Motions Of Bodies Tending To Each Other With Centripetal Forces

Section 12. Of The Attractive Forces Of Sphaerical Bodies

Section 13. Of The Attractive Forces Of Bodies Which Are Not Of A Sphaerical Figure

BOOK 2. OF THE MOTION OF BODIES

Section 1. Of The Motion Of Bodies That Are Resisted In The Ratio Of The Velocity

Section 2. Of The Motion Of Bodies That Are Resisted In The Duplicate Ratio Of Their Velocities

Section 3. Of The Motions Of Bodies Which Are Resisted Partly In The Ratio Of The Velocities, And Partly In The Duplicate Of The Same Ratio

Section 5. Of The Density And Compression Of Fluids; And Of Hydrostatics

Section 6. Of The Motion And Resistance Of Funependulous Bodies

Section 7. Of The Motion Of Fluids, And The Resistance Made To Projected Bodies

Section 8. Of Motion Propagated Through Fluids

Section 9. Of The Circular Motion Of Fluids

Rules Of Reasoning In Philosophy

Phaenomena, Or Appearances

Propositions I-IX (Force of gravity)

Propositions XXXVI-XXXVIII (Forces To Move The Sea)

General Scholium

Section 3. Of The Motion Of Bodies In Eccentric Conic Sections

Section 7. Concerning The Rectilinear Ascent And Descent Of Bodies

Section 14. Of The Motion Of Very Small Bodies When Agitated By Centripetal Forces Tending To The Several Parts Of Any Very Great Body

Section 4. Of The Circular Motion Of Bodies In Resisting Mediums

Propositions X-XXIV (Motions Of Celestial Bodies And The Sea)

Propositions XXV-XXXV (Quantity Of Lunar Motions)

Lemmas I-III, Proposition XXXIX (Precession Of Equinoxes)

Lemmas IV-XI, Propositions XL-XLII (Comets)

The System Of The World

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The Mathematical Principles of Natural Philosophy

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Philosophiæ naturalis principia mathematica, also known simply as Principia, is a work published in Latin by Isaac Newton on July 5, 1687 at the request of his friend Edmund Halley, where he collects his discoveries in mechanics and mathematical calculus.

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