The Mathematical Principles of Natural Philosophy

Issac Newton

• Publisher: Classic Echo
• Year: 2026
• eBook ISBN:
  9791070138922
• Topic: Physical Sciences
• Subtopic: Mathematical Analysis

Discover the groundbreaking work that transformed our understanding of motion, gravity, and the physical universe. The Mathematical Principles of Natural Philosophy, commonly known as Principia Mathematica, is the landmark scientific work by Isaac Newton that established many of the foundations of classical physics. First published in 1687, Newton's work presents his mathematical treatment of motion, force, mass, and universal gravitation. Through mathematical reasoning and detailed analysis, he developed principles that could explain both the motion of objects on Earth and the movements of celestial bodies. The work examines fundamental ideas that shaped modern science, including Newton's laws of motion, gravity, planetary motion, orbital mechanics, and the relationship between force and motion. Although written centuries ago, Newton's scientific framework had an extraordinary influence on physics, astronomy, mathematics, and engineering. Principia Mathematica remains one of the most important scientific texts ever published and a defining achievement of the Scientific Revolution. For readers interested in classical physics, mathematics, astronomy, scientific history, Newtonian mechanics, and the development of modern science, this classic provides an opportunity to encounter the ideas that fundamentally changed humanity's understanding of the natural world. Explore the scientific masterpiece that helped define classical mechanics and revolutionized our understanding of the universe. Read The Mathematical Principles of Natural Philosophy and discover Isaac Newton's enduring legacy in science and mathematics.

Table of contents

• Top
• The Authors Preface
• Definitions.
• Axioms, or Laws of Motion.
• Book i. Of the Motion of Bodies.
• Of the method of first and last ratios of quantities.
• Of the Invention of Centripetal Forces.
• Of the motion of bodies in eccentric conic sections.
• Of the finding of elliptic, parabolic, and hyperbolic orbits, from the focus given.
• How the orbits are to be found when neither focus is given.
• How the motions are to be found in given orbits.
• Concerning the rectilinear ascent and descent of bodies.
• Of the invention of orbits wherein bodies will revolve, being acted upon by any sort of centripetal force.
• Of the motion of bodies in moveable orbits; and of the motion of the apsides.
• Of the motion of bodies in given superficies, and of the reciprocal motion of funependulous bodies.
• Of the motions of bodies tending to each other with centripetal forces.
• Of the attractive forces of sphaerical bodies.
• Of the attractive forces of bodies which are not of a sphaerical figure.
• Of the motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body.
• Book ii. Of the Motion of Bodies.
• Of the motion of bodies that are resisted in the ratio of the velocity.
• Of the motion of bodies that are resisted in the duplicate ratio of their velocities.
• Of the motions of bodies which are resisted partly in the ratio of the velocities, and partly in the duplicate of the same ratio.
• Of the circular motion of bodies in resisting mediums.
• Of the density and compression of fluids; and of hydrostatics.
• Of the motion and resistance of funependulous bodies.
• Of the motion of fluids, and the resistance made to projected bodies.
• Of motion propagated through fluids.
• Of the circular motion of fluids.
• Book iii.
• Rules of Reasoning in Philosophy.
• Phaenomena, or Appearances.
• Propositions
• General Scholium.
• Index.