Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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holding faſt the ſtone B to its little wheel, than for the holding
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the ſtone C to its great one, which is as much as to ſay, that ſuch
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a ſmall thing will impede the extruſion in the great wheel, as will
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not at all hinder it in the little one. </
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<
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>It is manifeſt therefore that
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the more the wheel augmenteth, the more the cauſe of the
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jection diminiſheth.</
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<
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>SAGR. </
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<
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>From this which I now underſtand, by help of your
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nute diſſertation, I am induced to think, that I am able to ſatisfie
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my judgment in a very few words. </
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<
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>For equal
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impetus
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being
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preſſed on both the ſtones that move along the tangents, by the
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equal velocity of the two wheels, we ſee the great circumference,
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by means of its ſmall deviation from the tangent, to go ſeconding,
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as it were, and in a fair way refraining in the ſtone the appetite, if
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I may ſo ſay, of ſeparating from the circumference; ſo that any
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ſmall retention, either of its own inclination, or of ſome
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tion ſufficeth to hold it faſt to the wheel. </
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<
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>Which, again, is not
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ble to work the like effect in the little wheel, which but little
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ſecuting the direction of the tangent, ſeeketh with too much
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gerneſſe to hold faſt the ſtone; and the reſtriction and glutination
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not being ſtronger than that which holdeth the other ſtone faſt to </
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the greater wheel, it ^{*} breaks looſe, and runneth along the
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gent. </
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<
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>Therefore I do not only finde that all thoſe have erred,
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who have believed the cauſe of the projection to increaſe
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ding to the augmentation of the
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vertigo's
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velocity; but I am
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further thinking, that the projection diminiſhing in the inlarging of
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the wheel, ſo long as the ſame velocity is reteined in thoſe wheels;
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it may poſſibly be true, that he that would make the great wheel
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extrude things like the little one, would be forced to increaſe
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them as much in velocity, as they increaſe in diameter, which he
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might do, by making them to finiſh their converſions in equal
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times; and thus we may conclude, that the Earths revolution or
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vertigo
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would be no more able to extrude ſtones, than any little
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wheel that goeth ſo ſlowly, as that it maketh but one turn in
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ty four hours.</
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* Strappar la
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vezza,
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is to break
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the bridle.
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<
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>SALV. </
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<
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>We will enquire no further into this point for the
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ſent: let it ſuffice that we have abundantly (if I deceive not my
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ſelf) demonſtrated the invalidity of the argument, which at firſt
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ſight ſeemed very concluding, and was ſo held by very famous
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men: and I ſhall think my time and words well beſtowed, if I
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have but gained ſome belief in the opinion of
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Simplicius,
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I will
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not ſay or the Earths mobility, but only that the opinion of thoſe
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that believe it, is not ſo ridiculous and fond, as the rout of vulgar
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Philoſophers eſteem it.</
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<
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>SIMP. </
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<
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>The anſwers hitherto produced againſt the arguments
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brought againſt this
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Diurnal Revolution
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of the Earth taken from </
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