The Mathematical Principles of Natural Philosophy

Issac Newton

• Publisher: Zenith Whispering Pines Publishers
• Year: 2025
• eBook ISBN:
  9791070051221
• Topic: Physical Sciences
• Subtopic: Mechanics

"If I have seen further, it is by standing on the shoulders of giants." This is the book that launched the scientific age. Sir Isaac Newton's Philosophiæ Naturalis Principia Mathematica (often simply The Principia) is arguably the single most important work in the history of science, defining the world for centuries to come. First published in 1687, this masterpiece of classic science laid out the three laws of motion and the law of universal gravitation, explaining everything from the orbit of the planets to the trajectory of a cannonball. Newton didn't just describe the universe; he provided the mathematical tools (Calculus developed by him and Leibniz) to understand it. In this seminal work, you will find: Newton's Laws of Motion: The bedrock of classical physics. Universal Gravitation: The mathematical proof for why and how objects attract each other. The Foundation of Calculus: The analytical engine for solving problems in theoretical physics and astronomy. A Classic of Philosophy: A monumental treatise on how the universe naturally works, governed by immutable mathematical principles. Essential reading for students, scholars, and anyone interested in the history of science, The Principia remains a testament to human reason and one of the great intellectual achievements of Western civilization. Unlock the secrets of the cosmos. Click "Buy Now" and own the cornerstone of modern science.

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.