Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[11.] PROPOSITIO IIII.
[12.] PROPOSITIO V.
[13.] PROPOSITIO VI.
[14.] PROPOSITIO VII.
[15.] POSITIO II.
[16.] COMMENTARIVS.
[17.] PROPOSITIO VIII.
[18.] COMMENTARIVS.
[19.] PROPOSITIO IX.
[20.] COMMENTARIVS.
[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.
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236DE IIS QVAE VEH. IN AQVA.
COMMENTARIVS.
AT ucro ea, quæ feruntur deorſum, ſecundum perpendicula-
rem, quæ per centrum grauit atis ipſorum ducitur, ſimiliter ferri,
uel tanquam notum, uel ut ab alijs poſitum prætermiſit.
PROPOSITIO VIII.
SI aliqua magnitudo ſolida leuior humido,
11A quæ figuram portionis ſphæræ habeat, in humi-
22B dum demittatur, ita vt baſis portionis non tan-
gat humidum:
figura inſidebit recta, ita vt axis
portionis ſit ſecundum perpendicularem.
Et ſi
ab aliquo inclinetur figura, vt baſis portionis hu-
midum cõtingat;
non manebit inclinata ſi demit
tatur, ſed recta reſtituetur.
[INTELLIGATVR quædam magnitudo, qualis
33Suppleta
a Federi-
co Cõm.
dicta eſt, in humidum demiſſa:
& ducatur planum per axẽ
portionis, &
per terræ
12[Figure 12] centrum, ut ſit ſuperfi-
ciei humidi ſectio circũ
ferentia a b c d:
& figu-
ræ ſectio e f h circunfe-
rentia:
ſit autem e h
recta linea;
& f t axis
portionis.
Si igitur in-
clinetur figura, ita ut a-
xis portionis f t non ſit
ſecundum perpendicu-
larem.
demonſtrandum eſt, non manere ipſam figu-
ram;
ſed in rectum reſtitui. Itaque centrum ſphæræ

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