Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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page |< < of 213 > >|
152FED. COMMANDINI da figura, & altera circumſcribatur ex cylindris, uel cylin-
dri portionibus, ſicuti dictum eſt, ita ut exceſſus, quo figu-
ra circumſcripta inſcriptam ſuperat, ſit ſolido g minor.
Itaque centrum grauitatis cylindri, uel cylindri portionis
q r eſt in linea p o;
cylindri, uel cylindri portionis st cen-
trum in linea on;
centrum u x in linea n m; y z in m b; η @
in 1k;
λ μ in K h; & denique ν π centrum in h d. ergo figu-
105[Figure 105] ræ inſcriptæ centrum eſt in linea p d.
Sitautem ρ: & iun-
cta ρ e protendatur, ut cum linea, quæ à pũctoc ducta fue-
rit axi æquidiſtans, conueniat in σ.
erit σ ζ ad ρ e, ut c d
ad d f:
& conus, ſeu coni portio ad exceſſum, quo circum-
ſcripta figura inſcriptam ſuperat, habebit maiorem pro-
portionem, quàm σ ζ ad ρ e.
ergo ad partem exceſſus, quæ
intra ipſius ſuperficiem comprehenditur, multo maiorem
proportionem habebit.
habeat eam, quam τ ρ ad ρ e.

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