Galilei, Galileo
,
Discourse concerning the natation of bodies
,
1663
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the height of the emergent Point ſhall be double to the height of the
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Rampart. </
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>This that hath been demonſtrated in Cones, exactly holds
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in Piramides, although the one or the other ſhould be very ſharp in
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their Point or Cuſpis: From whence we conclude, that the ſame
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Accident ſhall ſo much the more eaſily happen in all other Figures,
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by how much the leſs ſharp the Tops ſhall be, in which they
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mine, being aſſiſted by more ſpacious Ramparts.</
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Natatiou
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eſt effected in
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Figures broad
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toward the top.</
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>THEOREME
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All Figures ſink
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or ſwim, upon
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bathing or not
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bathing of their
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tops.</
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All Figures, therefore, of whatever greatneſſe, may
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go, and not go, to the Bottom, according as their
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ties or Tops ſhall be bathed or not bathed.
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>And this Accident being common to all ſorts of Figures, without
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exception of ſo much as one. </
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>Figure hath, therefore, no part
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in the production of this Effect, of ſometimes ſinking, and
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times again not ſinking, but only the being ſometimes conjoyned
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to, and ſometimes ſeperated from, the ſupereminent Air: which
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cauſe, in fine, who ſo ſhall rightly, and, as we ſay, with both his
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Eyes, conſider this buſineſs, will find that it is reduced to, yea, that
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it really is the ſame with, the true, Naturall and primary cauſe of
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Natation or Submerſion; to wit, the exceſs or deficiency of the
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Gravity of the water, in relation to the Gravity of that Solid
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nitude, that is demitted into the water. </
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>For like as a Plate of Lead,
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as thick as the back of a Knife, which being put into the water by it
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ſelf alone goes to the bottom, if upon it you faſten a piece of Cork
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four fingers thick, doth continue afloat, for that now the Solid that
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is demitted in the water, is not, as before, more grave than the water,
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but leſs, ſo the Board of Ebony, of its own nature more grave than
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water; and, therefore, deſcending to the bottom, when it is
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ted by it ſelf alone into the water, if it ſhall be put upon the water,
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conjoyned with an Expanded vail of Air, that together with the
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Ebony doth deſcend, and that it be ſuch, as that it doth make with
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it a compound leſs grave than ſo much water in Maſs, as equalleth
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the Maſs already ſubmerged and depreſſed beneath the Levell of the
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waters Surface, it ſhall not deſcend any farther, but ſhall reſt, for
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no other than the univerſall and moſt common cauſe, which is that
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Solid Magnitudes, leſs grave
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inſpecie
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than the water, go not to the
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bottom.</
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>So that if one ſhould take a Plate of Lead, as for Example, a finger
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thick, and an handfull broad every way, and ſhould attempt to make
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it ſwimme, with putting it lightly on the water, he would loſe his
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Labour, becauſe that if it ſhould be depreſſed an Hairs breadth </
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