THEOREME XIII.

[Sidenote: All Figures sink or swim, upon bathing or not bathing

of their tops.]

_All Figures, therefore, of whatever greatnesse, may go, and not

go, to the Bottom, according as their Sumities or Tops shall be

bathed or not bathed._

And this Accident being common to all sorts of Figures, without

exception of so much as one. Figure hath, therefore, no part in the

production of this Effect, of sometimes sinking, and sometimes again

not sinking, but only the being sometimes conjoyned to, and sometimes

seperated from, the supereminent Air: which cause, in fine, who so

shall rightly, and, as we say, with both his Eyes, consider this

business, will find that it is reduced to, yea, that it really is the

same with, the true, Naturall and primary cause of Natation or

Submersion; to wit, the excess or deficiency of the Gravity of the

water, in relation to the Gravity of that Solid Magnitude, that is

demitted into the water. For like as a Plate of Lead, as thick as the

back of a Knife, which being put into the water by it self alone goes

to the bottom, if upon it you fasten a piece of Cork four fingers

thick, doth continue afloat, for that now the Solid that is demitted

in the water, is not, as before, more grave than the water, but less,

so the Board of Ebony, of its own nature more grave than water; and,

therefore, descending to the bottom, when it is demitted by it self

alone into the water, if it shall be put upon the water, conjoyned

with an Expanded vail of Air, that together with the Ebony doth

descend, and that it be such, as that it doth make with it a compound

less grave than so much water in Mass, as equalleth the Mass already

submerged and depressed beneath the Levell of the waters Surface, it

shall not descend any farther, but shall rest, for no other than the

universall and most common cause, which is that Solid Magnitudes, less

grave _in specie_ than the water, go not to the bottom.

So that if one should take a Plate of Lead, as for Example, a finger

thick, and an handfull broad every way, and should attempt to make it

swimme, with putting it lightly on the water, he would lose his

Labour, because that if it should be depressed an Hairs breadth beyond

the possible Altitude of the Ramparts of water, it would dive and

sink; but if whilst it is going downwards, one should make certain

Banks or Ramparts about it, that should hinder the defusion of the

water upon the said Plate, the which Banks should rise so high, as

that they might be able to contain as much water, as should weigh

equally with the said Plate, it would, witho{u}t all Question, descend

no lower, but would rest, as being sustained by vertue of the Air

contained within the aforesaid Ramparts: and, in short, there would be

a Vessell by this means formed with the bottom of Lead. But if the

thinness of the Lead shall be such, that a very small height of

Rampart would suffice to contain so much Air, as might keep it afloat,

it shall also rest without the Artificiall Banks or Ramparts, but yet

not without the Air, because the Air by it self makes Banks sufficient

for a small height, to resist the Superfusion of the water: so that

that which in this case swimmes, is as it were a Vessell filled with

Air, by vertue of which it continueth afloat.

I will, in the last place, with an other Experime{n}t, attempt to

remove all difficulties, if so be there should yet be any doubt left

in any one, touching the opperation of this [E]Continuity of the Air,

with the thin Plate which swims, and afterwards put an end to this

part of my discourse.

[E] Or rather Contiguity,

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 34 / 37 题