Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
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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.
99[Figure 99]
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
ad partes e;
alterum

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