## The Mathematical Principles of Natural Philosophy, Bindi 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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alſo angle ariſe attracted axis becauſe become body caſe cauſe centre centre of gravity centripetal force circle common centre conic ſection contrary corpuſcle curve line decreaſe demonſtrated deſcribed diameter difference diminiſhed direction diſtance draw drawn duplicate ratio Earth ellipſis equal fame figure firſt focus given given ratio globe greater Hence increaſed Join laſt length leſs let fall manner mean meeting motion move muſt mutually orbit parallel particles perpendicular plane poſition principal PROBLEM produced prop proportional PROPOSITION quantity radius ratio reaſoning reciprocally rectangle remain reſt revolve right line ſame ſay ſeveral ſhall ſides ſimilar ſince ſpace ſphere ſquare ſuch ſum ſuperficies ſuppoſe taken tangent tending THEOREM theſe things third thoſe touch trajectory triangles ultimate velocity weight whole whoſe

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Síđa 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.

Síđa 60 - 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.

Síđa 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.

Síđa 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.

Síđa 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.

Síđa 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.

Síđa 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.

Síđa 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.