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The doctrine of projectiles demonstrated and apply'd to all the most useful problems in practical gunnery : to which is added, the description and use of a new mathematical instrument, together with serveral curious properties of projectiles never before publish'd / by William Starrat
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Of Simple Motion. I d

LA W X.

Universally, S : s :: '7°x C : £ x c.that is, In all cafes, the Ratio of theSpaces passed over is compounded ofthe Ratios of the Times and Celeri-ties conjointly.

Let O, he a Space passed over inthe Time wherein S was passedover, and let it be passed over withthe Celerity c , wherewith s waspassed over - y then (by Law 9th.)T: t:i D : s. and (by Law 8th.)c : C :: D : S. from the first: Analo-

gy you have this Equation,Tx s ~

* x £)> and from the' last Analogy,c * S = Cx D } which two Equationsmultiplyd, gives TxsxCxD^txDxfxss- and dividing by Z), you haveTx s x t x c x A, which turned intoa n Analogy gives A; s: '.TxC-.txo.&E.D.

LAW

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