Galilei, Galileo, Mechanics, 1665

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            <pb xlink:href="070/01/037.jpg" pagenum="307"/>
            <p type="head">
              <s>Annotations of
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              Dominico Mantovani
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              upon the Bal­
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              lance of
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              Signore Galileo Galilei.
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              </s>
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            <p type="main">
              <s>Firſt, I conceive that the difficulty of Numbring the Wyres
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              is removed by wrapping about the Ballance ten of Steel,
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              and then ten of Braſs, which being divided by tens, there
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              only remains that tenth part to be numbred, in which the term
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              of the Mixt Metal falleth. </s>
              <s>For although
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              Signore Galileo,
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              who is
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              Author of this Invention, makes mention of two Wyres, one of
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              Steel, the other of Braſs, yet he doth not ſay, that we are to
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              take ^{*} ten of the one, and ten of the other: which it may be
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                <arrow.to.target n="marg1123"/>
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              hapneth by the negligence of him that hath tranſcribed it; al­
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              though I muſt confeſs that the Copy which came to my hands was
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              of his own writing.</s>
            </p>
            <p type="margin">
              <s>
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              *
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              Galileus
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              ſaith it
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              expreſly in this
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              Copy which I fol­
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              low, but might
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              omit it in the Co­
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              py which came to
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              the hands of
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              Man­
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              tovani.
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              </s>
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            <p type="main">
              <s>Secondly, it is ſuppoſed in this Problem that the Compoſition
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              of two Metals do retain the ſame proportion of Maſs in the
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              Mixture as the two Simple Metals, of which it is compounded,
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              had at firſt. </s>
              <s>I mean, that the Simple Metals retain and keep in
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              the Compoſition (after that they are incorporated and commix­
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              ed) the ſame proportion in Maſs that the Simple Metals had
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              when they were ſeparated: Which in the Caſe of
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              Signore Gali­
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              leo,
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              touching the Commixtion of Gold and Silver, I do neither
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              deny, nor particularly confeſs. </s>
              <s>But if one would, for example,
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              unite 101 pounds of Copper with 21 pounds of Tin, to make
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              thereof 120 pounds of Bell-Metal, (I abate two pounds,
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              ſuppoſed to be waſted in the Melting) I do think that 120
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              pounds of Compound Metal will have a leſs Bulk than the 100
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              pounds of pure Copper, and the 20 pounds of Tin unmixt, that
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              is, before they were incorporated and melted into one Maſs, and
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              that the Compoſition is more grave
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              in Specie
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              than the ſingle Cop­
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              per, and the ſingle Braſs: and in the Caſe of
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              Signore Galileo
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              the
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              Compoſition of Gold and Silver is ſuppoſed to be lighter
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              in Specie
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              than the pure Gold, and heavier
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              in Specie
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              than the pure Silver. </s>
              <s>Of
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              which it would be eaſie to make ſome ſuch like experiment, melt­
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              ing together,
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              v. </s>
              <s>gr.
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              10 pounds of Lead with 5 pounds of Tin,
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              and obſerving whether thoſe 15 pounds, or whatever the Mixture
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              maketh, do give the difference betwixt the weight in the Water
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              to the weight in the Air, in the proportion that the 15 pounds of
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              the two Metals diſ-united gave before: I do not ſay, the ſame diffe­
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              rence, becauſe I pre ſuppoſe that they will waſte in melting down,
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              and that the Compound will be leſs than 15 pounds, therefore I
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              ſay in proportion.</s>
            </p>
            <p type="main">
              <s>Thirdly, He doth alſo ſuppoſe, that one ought to take the </s>
            </p>
          </chap>
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