Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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60ARCHIMEDIS tur centrum grauitatis eius, quæ extra humidum in pro-
tracta, quod ſit g.
Itaque per z g ductis perpendiculari-
11P bus ad humidi ſuperficiem, quæ ipſi t h æquidiſtent;
ſequi-
tur portionem ipſam non manere, fed reuolui adeo, ut a-
xis cum ſuperficie
39[Figure 39] humidi angulum
faciat maiorẽ eo,
quem nunc facit.
Et quoniam cũ
antea poſuiſſem´
facere angulũ ma
iorem angulo b,
portio neque tũc
cõſiſtebat;
perſpi
cuũ eſt ipſam con
ſiſtere, ſi angulum
fecerit angulo b
æqualem.
Sic e-
22Q nim eriti o æqua-
lis ψ b:
itemq; ω i
æqualis ψ r:
& p h ipſi f. erit igitur m p ſeſquialtera p h;
& p h dupla h m. quare cum h ſit centrum grauitatis eius
partis, quæ eſt in humido, per eandem perpendicularem,
&
ipſa ſurſum, & quæ extra eſt feretur deorſum. mane-
bitigitur portio;
quoniam altera pars ab altera non re-
pelletur.
COMMENTARIVS.
_E T ſit c b ſeſquialtera b r. erit & c d ipſius k r ſeſqui-_
33A_altera_.
] In translatione ita legebatur. ſit autem & c b quidem
hemiolia ipſius b r:
c d autem ipſius K r. Sed nos quod postremo
loco legitur, idcirco corrigendum duximus, quoniam illud non po-
nitur ita eſſe, ſed ex ijs, quæ poſita ſunt, neceſſario colligitur.
ſi

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