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

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<body>
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<p type="main">
<s>
for that B G is the Gravity of the Liquid equal in Maſs unto it:
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Therefore the Solid compounded of thoſe two Solids A and D
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being dimerged, it ſhall, by the precedent, ſo much of it ſubmerge,
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as that a quantity of the Liquid equal to the ſaid ſubmerged part
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ſhall have equal Gravity with the ſaid compounded Solid. </s>
<s>And
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for an example of that
<emph type="italics"/>
Propoſition
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let the Su­
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perficies of any Liquid be that which pro­
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ceedeth according to the Circumference
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A B G D: Becauſe now a Maſs or quantity
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of Liquor as big as the Maſs A hath equal
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Gravity with the whole compounded Solid
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A D: It is manifeſt that the ſubmerged part
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thereof ſhall be the Maſs A: and the remain­
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der, namely, the part D, ſhall be wholly a­
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top, that is, above the Surface of the Liquid.
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</s>
<s>It is therefore evident, that the part A hath ſo much virtue or
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Force to return upwards, that is, to riſe from below above the Li­
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quid, as that which is upon it, to wit, the part D, hath to preſs it
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downwards, for that neither part is repulſed by the other: But D
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preſſeth downwards with a Gravity equal to G, it having been ſup­
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poſed that the Gravity of that part D was equal to G: Therefore
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that is manifeſt which was to be demonſtrated.</s>
</p>
<p type="main">
<s>RIC. </s>
<s>This was a fine Demonſtration, and from this I perceive that you colle­
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cted your
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Induſtrious Invention
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; and eſpecially that part of it which you inſert in
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the firſt Book for the recovering of a Ship ſunk: and, indeed, I have many Que­
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ſtions to ask you about that, but I will not now interrupt the Diſcourſe in hand, but
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deſire that we may go on to the ſeventh
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Propoſition,
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the purport whereof is this.</s>
</p>
<s>PROP. VII. THEOR. VII.</s>
</p>
<p type="main">
<s>
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Solid Magnitudes beavier than the Liquid, being de­
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mitted into the [ſetled] Liquid, are boren down­
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wards as far as they can deſcend: and ſhall be lighter
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in the Liquid by the Gravity of a Liquid Maſs of
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the ſame bigneſs with the Solid Magnitude.
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</s>
</p>
<p type="main">
<s>NIC. </s>
<s>This ſeventh
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Propoſition
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hath two parts to be demonſtrated.</s>
</p>
<p type="main">
<s>The firſt is, That all Solids heavier than the Liquid, being demit­
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ted into the
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L
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iquid, are boren by their Gravities downwards as far
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as they can deſcend, that is untill they arrive at the Bottom. </s>
<s>Which
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firſt part is manifeſt, becauſe the Parts of the
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L
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iquid, which ſtill lie
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under that Solid, are more preſſed than the others equijacent,
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becauſe that that Solid is ſuppoſed more grave than the Liquid. </s>
</p>
</chap>
</body>
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