The Mathematical Principles of Natural Philosophy

Isaac Newton

Translated by Andrew Motte

31 chapters · about 18 h

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The opening

DEFINITIONS.

The quantity of matter is the measure of the same, arising from its density and bulk conjunctly.

Thus air of a double density, in a double space, is quadruple in quantity; in a triple space, sextuple in quantity. The same thing is to be understood of snow, and fine dust or powders, that are condensed by compression or liquefaction; and of all bodies that are by any causes whatever differently condensed. I have no regard in this place to a medium, if any such there is, that freely pervades the interstices between the parts of bodies. It is this quantity that I mean hereafter everywhere under the name of body or mass. And the same is known by the weight of each body; for it is proportional to the weight, as I have found by experiments on pendulums, very accurately made, which shall be shewn hereafter.

The quantity of motion is the measure of the same, arising from the velocity and quantity of matter conjunctly.

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About this edition

The words
Andrew Motte's English translation, copied word for word.
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Project Gutenberg 76404

Left out
  • The source library's header, footer and license, in 2 places
  • The title page and opening pages before chapter 1, in 2 places
  • Notes and pages added by translators, editors or publishers, in 2 places
  • A preface, foreword or afterword
  • The printed half-title "THE PRINCIPIA." (a title line)
  • Other material that isn't the author's, in 2 places
  • Closing lines ("END OF THE MATHEMATICAL PRINCIPLES.", "END OF THE SYSTEM OF THE WORLD.") (2 blocks)
  • Page numbers and running heads from the printed pages, in 3 places