THEOREME. IX.

From A Discourse Concerning the Natation of Bodies in Water by Galileo Galilei.

[Sidenote: All Figures of all Matters, float by hep of the Rampart replenished with Air, and some but only touch the water.]

_All sorts of Figures of whatsoever Matter, albeit more grave than the Water, do by Benefit of the said Rampart, not only float, but some Figures, though of the gravest Matter, do stay wholly above Water, wetting only the inferiour Surface that toucheth the Water._

And these shall be all Figures, which from the inferiour Base upwards, grow lesser and lesser; the which we shall exemplifie for this time in Piramides or Cones, of which Figures the passions are common. We will demonstrate therefore, that,

_It is possible to form a Piramide, of any whatsoever Matter preposed, which being put with its Base upon the Water, rests not only without submerging, but without wetting it more then its Base._

For the explication of which it is requisite, that we first demonstrate the subsequent Lemma, namely, that,

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