Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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14517DE CENTRO GRAVIT. SOLID.
PROBLEMA I. PROPOSITIO X.
Data qualibet pyramide, fieri poteſt, ut fi-
gura ſolida in ipſa in ſcribatur, &
altera circũſcri-
batur ex priſmatibus æqualem aItitudinem ha-
bẽtibus, ita ut cir cumſcripta inſcriptam excedat
magnitudine, quæ minor ſit quacũque ſolida ma
gnitudine propoſita.
Sit pyramis, cuius baſis
triangulũ a b c;
axis d e.
Sitq; priſma, quod eandẽ
baſim habeat, &
axem eun
dem.
Itaque hoc priſma-
te continenter ſecto bifa-
riam, plano baſi æquidiftã
te, relinquetur tãdem priſ
ma quoddam minus pro-
poſita magnitudine:
quod
quidem baſim eandem ha
beat, quam pyramis, &
a-
xem e f.
diuidatur d e in
partes æquales ipſi e f in
punctis g h k l m n:
& per
diuiſiones plana ducãtur:

quæ baſibus æquidiſtent,
erunt ſectiones, triangula
ipſi a b c ſimilia, ut proxi-
me oſtendimus.
ab uno
quoque autẽ horum trian
gulorum duo priſmata cõ
ſtruantur;
unum quidem