The Mathematical Principles of Natural Philosophy, Volume 1Isaac Newton's The Mathematical Principles of Natural Philosophy translated by Andrew Motte and published in two volumes in 1729 remains the first and only translation of Newton's Philosophia naturalis principia mathematica, which was first published in London in 1687. As the most famous work in the history of the physical sciences there is little need to summarize the contents.J. Norman, 2006. 
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acting action angle apsis arise attracted axis become body cause centre centre of gravity centripetal force circle common centre compounded conic section contrary corpuscle curve line decrease demonstrated descend described diameter difference diminished direction directly distance draw drawn duplicate ratio Earth ellipsis equal fame figure focus given given ratio globe greater Hence immoveable increased Join Lemma length less let fall manner matter mean meeting motion move mutually orbit parallel particles pass periodic perpendicular plane position principal Problem produced prop proportional Proposition quantity radius ratio reasoning recede reciprocally rectangle remain rest revolve right line round sides similar sine space sphere square superficies suppose taken tangent tending Theorem things third thofe touch trajectory triangles ultimate velocity weight whole
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Page 7  Absolute, true, and mathematical time, of itself, and from its own nature, flows equably without relation to anything external, and by another name is called duration: relative, apparent, and common time, is some sensible and external (whether accurate or unequable) measure of duration by the means of motion, which is commonly used instead of true time; such as an hour, a day, a month, a year.
Page 62  From the same demonstration it likewise follows that the arc which a body, uniformly revolving in a circle by means of a given centripetal force, describes in any time is a mean proportional between the diameter of the circle and the space which the same body falling by the same given force would descend through in the same given time.
Page 34  ... of a hammer) is (as far as I can perceive) certain and determined, and makes the bodies to return one from the other with a relative velocity, which is in a given ratio to that relative velocity with which they met.
Page 17  The change of motion is proportional to the motive force impressed; and is made in the direction of the right line in which that force is impressed.
Page 39  QUANTITIES, AND THE RATIOS OF QUANTITIES, WHICH IN ANY FINITE TIME CONVERGE CONTINUALLY TO EQUALITY, AND BEFORE THE END OF THAT TIME APPROACH NEARER THE ONE TO THE OTHER THAN BY ANY GIVEN DIFFERENCE, BECOME ULTIMATELY EQUAL.
Page 18  If a body impinge upon another, and by its force change the motion of the other, that body also (because of the equality of the mutual pressure) will undergo an equal change, in its own motion, towards the contrary part.
Page 13  The effects which distinguish absolute from relative motion are the forces of receding from the axis of circular motion. For there are no such forces in a circular motion purely relative, but in a true and absolute circular motion they are greater or less, according to the quantity of the motion.
Page 1  This force consists in the action only, and remains no longer in the body when the action is over. For a body maintains every new state it acquires, by its inertia only. But impressed forces are of different origins, as from percussion, from pressure, from centripetal force.