Archimedes - Natation of bodies

Archimedes, Natation of bodies, 1662

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RICARDO.

Dear Companion, I have peruſed your Induſtrious Invention,
in which I find not any thing that will not certainly hold
true; but, truth is, there are many of your Concluſions
of which I underſtand uot the Cauſe, and therefore, if it
be not a trouble to you, I would deſire you to declare them
to me, for, indeed, nothing pleaſeth me, if the Cauſe
thereof be hid from me.

NICOLO. My obligations unto you are ſo many and
great, Honoured Campanion, that no requeſt of yours ought
to be troubleſome to me, and therefore tell me what thoſe Perticulars are of which
you know not the Cauſe, for I ſhall endeavour with the utmoſt of my power and
underſtanding to ſatisfie you in all your demands.

RIC. In the firſt Direction of the firſt Book of that your Induſtrious Invention
you conclude, That it is impoſſible that the Water ſhould wholly receive into it
any material Solid Body that is lighter than it ſeif (as to ſpeciæ) nay, you ſay, That
there will alwaies a part of the Body ſtay or remain above the Waters Surface
(that is uncovered by it;) and, That as the whole Solid Body put into the Water
is in proportion to that part of it that ſhall be immerged, or received, into the Wa-
ter, ſo ſhall the Gravity of the Water be to the Gravity (in ſpeciæ) of that ſame
material Body: And that thoſe Solid Bodies, that are by nature more Grave than the
Water, being put into the Water, ſhall preſently make the ſaid Water give place;
and, That they do not only wholly enter or ſubmerge in the ſame, but go continu-
ally deſcending untill they arrive at t he Bottom; and, That they ſink to the Bot-
tom ſo much faſter, by how much they are more Grave than the Water. And,
again, That thoſe which are preciſely of the ſame Gravity with the Water, being
put into the ſame, are of neceſſity wholly received into, or immerged by it, but
yet retained in the Surface of the ſaid Water, and much leſs will the Water con-
ſent that it do deſcend to the Bottom: and, now, albeit that all theſe things are
manifeſt to Senſe and Experience, yet nevertheleſs would I be very glad, if it be
poſſible, that you would demonſtrate to me the moſt apt and proper Cauſe of
theſe Effects.

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