Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

List of thumbnails

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            <p type="main">
              <s>
                <pb xlink:href="040/01/212.jpg" pagenum="194"/>
              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. </s>
              <s>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.</s>
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              <s>SAGR. </s>
              <s>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. </s>
              <s>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. </s>
              <s>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 </s>
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              <s>
                <arrow.to.target n="marg389"/>
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              the greater wheel, it ^{*} breaks looſe, and runneth along the
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              gent. </s>
              <s>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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                <emph type="italics"/>
              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.</s>
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            <p type="margin">
              <s>
                <margin.target id="marg389"/>
              * Strappar la
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              vezza,
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              is to break
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              the bridle.
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              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>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.</s>
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            <p type="main">
              <s>SIMP. </s>
              <s>The anſwers hitherto produced againſt the arguments
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              brought againſt this
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              Diurnal Revolution
                <emph.end type="italics"/>
              of the Earth taken from </s>
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          </chap>
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