Galilei, Galileo, Mechanics, 1665

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              Simple Metals, that is, the Gold and the Silver, each of the ſame
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              weight as the Mixture, although he doth not ſay ſo; which may
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              be collected in that he marketh the ballance only betwixt the
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              Terms of the Gold and the Silver, which is the cauſe of the great
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              facility in reſolving the Problem by only counting the
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              Wyers.</s>
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              <s>One might take the pure Gold, and pure Silver of the ſame
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              weight, in reſpect of one another, but yet different from the
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              weight of the Mixture, that is, either more or leſs grave than the
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              Mixt Metal: and being equal in weight to one another they
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              might ſhew the proportion of the Maſs of the Gold to that of the
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              Silver; but yet with this difference, that the more grave will ſhew
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              the ſaid proportion more exactly than the ſmall and leſs grave.
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              <s>But the Simple and pure Metals not being of the ſame weight as
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              the Compound, it will be neceſſary, having found the proportion
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              of the Maſs of the Gold to that of the Silver; to find by numbers
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              proportionally the exact quantity of each of the two Metals com­
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              pounding the Mixture.</s>
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              <s>A man may likewiſe uſe the quantity of the ſimple Metals ac­
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              cording to neceſſity and convenience, although of different
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              Weights, both as to each other, and to the Mixture, provided that
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              each of them be pure in its kind: but then we muſt after­
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              wards by numbers find the proportion of the Maſſes of the two
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              Simple ones of equal weight (which is ſoon done, taking them of
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              equal weight as was ſaid before) and then according to this pro­
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              portion to find, by means of the Weight, and of the Maſs of the
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              Compound Metal, the diſtinct quantity of each of the two Sim­
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              ple ones that make the Compoſition: of each of which Caſes
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              examples might be given. </s>
              <s>But to conclude, if the pure Gold,
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              and pure Silver, and the Mixt Metal ſhould be of equal Maſs,
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              they would be unequal in Weight, and it would not need to
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              weigh them in the Water, for being of equal Bulk, the differen­
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              ces of their Weights in the Air and in the Water would be alſo
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              equal: for the difference of the weight of any Body in the Air
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              to its weight in the Water, is alwaies equal to the Weight of ſo
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              much Water as equalleth the ſame Body in Maſs, by
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              Archimedes
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              his fifth Propoſition,
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              De ijs quæ vehuntur in aqua.
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              <s>And laſt of all, the Simple and pure Metals may have the ſame
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              proportion in Gravity, mutually or reciprocally, as their Bodies
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              have in Bulk: In which caſe, as well the Maſs, found by help of
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              the weight in Water, or by any other meanes, as their Weight in
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              the Air ſhall ſhew the proportion of their Specifical Gravities; as
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              their Weights in the Water do when their Weights in the Air
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              are equal; but yet alternately weighed: that is to ſay, the Spe­
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              cifical Gravity of the Gold ſhall have ſuch proportion to the </s>
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