A Treatise of the Mechanical Powers; Wherein the Laws of Motion, and the Properties of Those Powers Are Explained and Demonstrated in an Easie and Familiar Method
by Andrew Motte
ISBN 1151343803 (1-151-34380-3)
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Softcover, General Books LLC, 2012
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Book summary: This historic book may have numerous typos, missing text or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1727. Not illustrated. Excerpt: ... positions relating to it j that is, its Situation with respect: to some given Place must always be determin'd. A Body may be, indeed, impell'd by more Forces than one, and in different Directions at the fame time, the Consequences of which it is the Business of this Science to determine, as We shall hereafter take notice. But for the present we shall only observe, that as the Velocity with which a Body moves is capable of infinite Variety; so likewise is the Line pf Direction. A Body may be supposed to move 10, ico, 1000 Foot in a Second of Time, or if you please as many Miles; so the Line of Direction of its Motion may be as various as the Inclinations of Lines to each other are. As the one is capable, by the Addition of a new Impulse, to be altered as to Quantity; so is the other equally liable by the fame Means to be alter'd as to its Position. If a Body as A be moving along the Line AS A B C D, with a Velocity able to carry it from A to B in a Second of Time, it may, by a new Force apply'd to it in the fame Direction, receive a Velocity able to carry it as far as from A to C in the fame time. And in the like manner, it may by a Force apply'd in a different Direction, as for Example, along the Line E F, receive an Alteration not only as to Velocity, but as to its Direction also; so as to make it move in a different Line from that along which it was at first impelfd. That we may, therefore, argue upon solid Grounds concerning these Mutations, I shall proceed now to the second Axiom. 2. The AXIOM II. The Increase or Decrease of Motion, produced in a Body by a new Force apply'd to it, is as to Quantity proportionable to the Quantity of this new Force; and the Change of the Motion as to Direction is made towards the Direction of this new Force. I S A Y the Increa...
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