COROLARY II.

[Sidenote: There may be Cones and Piramides of any Matter, which

demitted with the Point downwards do float atop.]

_It is manifest, also, that one may make Cones and Piramids of any

Matter whatsoever, more grave than the water, which being put

into the water, with the Apix or Point downwards, rest without

Submersion._

Because if we reassume what hath been above demonstrated, of Prisms

and Cylinders, and that on Bases equall to those of the said

Cylinders, we make Cones of the same Matter, and three times as high

as the Cylinders, they shall rest afloat, for that in Mass and Gravity

they shall be equall to those Cylinders, and by having their Bases

equall to those of the Cylinders, they shall leave equall Masses of

Air included within the Ramparts. This, which for Example sake hath

been demonstrated, in Prisms, Cylinders, Cones and Piramids, might be

proved in all other Solid Figures, but it would require a whole Volume

(such is the multitude and variety of their Symptoms and Accidents) to

comprehend the particuler demonstration of them all, and of their

severall Segments: but I will to avoid prolixity in the present

Discourse, content my self, that by what I have declared every one of

ordinary Capacity may comprehend, that there is not any Matter so

grave, no not Gold it self, of which one may not form all sorts of

Figures, which by vertue of the superiour Air adherent to them, and

not by the Waters Resistance of Penetration, do remain afloat, so that

they sink not. Nay, farther, I will shew, for removing that Error,

that,

A Discourse Presented to the Most Serene Don Cosimo II., Great Duke of Tuscany, Concerning the Natation of Bodies Vpon, and Submersion In, the Water. · 第 28 / 37 题