Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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18ARCHIMEDIS extet ex humidi ſuperficie. conſiſtat autem humidum, ma
neatq
;
: & intelligatur aliquod planum ductum per centrũ
terræ
, per humidum, &

7[Figure 7] per magnitudinem ſoli-
dam
:
à quo ſuperficies
quidem
humidi ſecetur
ſecundum
circunferen-
tiam
a b c;
ſolida autem
magnitudo
ſecundum fi
guram
, in qua r:
& cen-
trum
terræ ſit K.
Intelli
gatur
etiam quædam py
ramis
comprehendens
figuram
r, ſicuti prius, quæ pũctum K pro uertice habeat:
fecenturq; ipſius plana à ſuperficie plani a b c ſecundum
a
K K b:
& ſumatur pyramis alia æ qualis, & ſimilis ſuperio
ri
, cuius plana ſecentur à plano a b c, ſecundum b K K c:

deinde
alterius ſphæræ ſuperficies quædam deſcribatur in
humido
circa centrum K, ſub ſolida magnitudine:
& ſece-
tur
ab eodem plano ſecundum x o p:
poſtremo intelliga-
tur
alia magnitudo h in poſteriori pyramide, quæ ex humi
do
conſtet, &
ſolidæ magnitudini r ſit æ qualis. partes igi-
tur
humidi, &
quæ in prima pyramide continetur ſuperfi-
cie
x o;
& quæ in ſecunda ſuperficie o p continetur, æquali
ter
iacent, &
continuatæ inter ſe ſe; non tamen ſimiliter
premuntur
:
nam quæ eſt in prima pyramide premitur ma
gnitudine
ſolida r, &
humido cõtinente ipſam, quod eſt in
loco
pyramidis a b o x:
quæ uero in altera pyramide pre-
mitur
ſolida magnitudineh, &
humido ipſam continente
in
loco pyramidis p o b c.
At grauitas ſolidæ magnitudi-
nis
r, minor eſt grauitate humidi, in quo h:
quoniam ma-
gnitudo
ſolida mole quidem æqualis, &
humido leuior po
nitur
:
grauitas autem humidi continentis magnitudines
r
h eſt æqualis;
cum pyramides æquales ſint. magis

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