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

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            <pb xlink:href="040/01/737.jpg" pagenum="45"/>
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              <s>Now if we apply this, that hath been demonſtrated, to our
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              purpoſe; preſuppoſing that that ſame Cylinder of Silver, that was
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              gilded whilſt it was no more than half a yard long, and four or five
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              Inches thick, being diſgroſſed to the ſineneſs of an hair, is prolon­
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              ged unto the extenſion of twenty thouſand yards (for its length
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              would be much greater) we ſhall find its Superficies augmented
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              to two hundred times its former greatneſs: and conſequently, thoſe
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              Leaves of Gold, which were laid on ten in number, being diſten­
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              ded on a Superficies two hundred times bigger, aſſure us that the
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              Gold which covereth the Superficies of the ſo many yards of Wyer
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              is left of no greater thickneſs than the twentieth part of a Leaf of
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              ordinary Beaten-Gold. </s>
              <s>Conſider, now, how great its thinneſs is, and
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              whether it is poſſible to imagine it done without an immenſe di­
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              ſtention of its parts: and whether this ſeem to you an Experi­
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              ment, that tendeth likewiſe towards a compoſition of infinite In­
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              diviſibles in Phyſical Matters: Howbeit there want not other more
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              ſtrong and neceſſary proofs of the ſame.</s>
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              <s>SAGR. </s>
              <s>The Demonſtration ſeemeth to me ſo ingenuous, that
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              although it ſhould not be of force enough to prove that firſt intent
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              for which it was produced, (and yet, in my opinion, it plainly
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              makes it out) yet nevertheleſs that ſhort ſpace of time was well
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              ſpent which hath been employed in hearing of it.</s>
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            <p type="main">
              <s>SALV. </s>
              <s>In regard I ſee, that you are ſo well pleaſed with theſe
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              Geometrical Demonſtrations, which bring with them certain pro.
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              </s>
              <s>fit, I will give you the fellow to this, which ſatisfieth to a very cu­
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              rious Queſtion. </s>
              <s>In the former we have that which hapneth in
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              Cylinders that are equall, but of different heights or lengths: it
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              will be convenient, that you alſo hear that which occurreth in Cy­
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              linders equal in Superficies, but unequal in heights; my meaning
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              alwaies is, in thoſe Superficies only that encompaſs them about,
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              that is, not comprehending the two Baſes ſuperiour and inferiour.
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              </s>
              <s>I ſay, therefore, that</s>
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            <p type="head">
              <s>PROPOSITION.</s>
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            <p type="main">
              <s>
                <emph type="italics"/>
              Upon Cylinders, the Superficies of which the Baſes be­
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              ing ſubſtracted are equal, have the ſame proportion
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              to one another as their heights Reciprocally taken.
                <emph.end type="italics"/>
              </s>
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            <p type="main">
              <s>Let the Superficies of the two Cylinders A E and C F be
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              equall; but the height of this C D greater than the height
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              of the other A B. </s>
              <s>I ſay, that the Cylinder A E hath the
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              ſame proportion to the Cylinder C F, that the height C D hath
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              to A B. </s>
              <s>Becauſe therefore the Superficies C F is equall to the </s>
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          </chap>
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