Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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fingers, did not yield to follow him that would have forceably
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drawn it from between them, reſiſted, becauſe it was ſtayed by a
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double compreſſion, ſince the upper finger preſt no leſſe againſt
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the nether, than it preſſed againſt that. </
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<
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>And there is no queſtion,
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that if of theſe two preſſures, one alone might be retained, there
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would remain half of that Reſiſtance, which depended conjunctive
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ly on them both: but becauſe you cannot with removing,
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v.g.
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the
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upper finger take away its preſſion, without taking away the other
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part alſo; it will be neceſſary by ſome new Artifice to retain one
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of them, and to find a way that the ſame thread may compreſſe it
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ſelf againſt the finger or other ſolid body upon which it is put; and
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this is done by winding the ſame thread about the Solid. </
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<
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>For the
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better underſtanding whereof, I will briefly give it you in Figure;
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and let
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A B
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and C
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D
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be two Cilinders, and between them let there
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be diſtended the thread
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E F,
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which for greater plainneſſe I will
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repreſent to be a ſmall Cord: there is no doubt but that the two
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Cylinders being preſſed hard one againſt the other, the Cord
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E F
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pulled by the end
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F
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will Reſiſt no ſmal force before
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it will ſlip from between the two Solids compreſſing it: but if
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we remove one of them, though the Cord
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continue touching the other, yet ſhall it not
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by ſuch contact be hindered from ſlipping
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away. </
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>But if holding it faſt, though but
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gently in the point A, towards the top of the
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Cylinder, we wind, or belay it about the
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ſame ſpirally in A F L O T R, and pull it by
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the end R: it is manifeſt, that it will begin
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to preſſe the Cylinder, and if the windings
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and wreathes be many, it ſhall in its effectual
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drawing alwaies preſſe it ſo much the ſtrai
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ter about the Cylinder: and by multiplying
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the wreathes if you make the contact longer,
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and conſequently more invincible, the more
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difficult ſtill ſhall it be to withdraw the
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Cord, and make it yield to the force that
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pulls it. </
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>Now who ſeeth not, that the ſame
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Reſiſtance is in the threads, which with many thouſand ſuch
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twinings ſpin the thick Cord? </
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<
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>Yea, the ſtreſſe of ſuch twiſting
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bindeth with ſuch Tenacity, that a few Ruſhes, and of no great
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length, (ſo that the wreaths and windings are but few where
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with they entertwine) make very ſtrong bands, called, as I take it,
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^{*} Thum-ropes.</
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* Fuſta.</
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<
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>SAGR. </
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>Your Diſcourſe hath removed the wonder out of my
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mind at two effects, whereof I did not well underſtand the rea
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ſon; One was to ſee, how two, or at the moſt three twines of the </
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