Part of the Cones towards the Cuspis removed, it shall still sink.
From whence it followeth, that though one should remove and take away the part of the Cone F N S, the sole remainder N T O S would go to the bottom.
COROLARY III.
The more the Cone is immerged, the more impossible is its floating.
And if we should more depress the Cone F T O, it would be so much the more impossible that it should sustain it self afloat, the part submerged N T O S still encreasing, and the Mass of Air contained in the Rampart diminishing, which ever grows less, the more the Cone submergeth.
That Cone, therefore, that with its Base upwards, and its Cuspis downwards doth swimme, being dimitted with its Base downward must of necessity sinke. They have argued farre from the truth, therefore, who have ascribed the cause of Natation to waters resistance of Division, as to a passive principle, and to the breadth of the Figure, with which the division is to be made, as the Efficient.
I come in the fourth place, to collect and conclude the reason of that which I have proposed to the Adversaries, namely,
THEOREME XII.
Solids of any Figure & greatnesse, that naturally sink, may by help of the Air in the Rampart swimme.