Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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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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40ARCHIMEDIS
_Et oh dupla ipſius h m. ]_ In tranſlatione mendoſe legeba-
22B tur, on dupla ipſius rm.
33C
Et quam proportionem habet demerſa portio ad totã,
44D eam quadratum p f habet ad n o quadratum.
] _Hoc loco in_
_tranſlatione
non nulli deſider abantur, quænos reſtituimus.
Illud au_
_tem
ab Archimede demonſtratum eſt in libro de conoidibus &
ſphæ_
_roidibus
propoſitione_ 26.
_Nec b p item minor h o. ]_ Eſt enim ut p f ad p b, ita m o,
66F ad h o &
permutando, ut p f ad mo, ita b p, ad b o. ſed p f non
est
minor m o, ut oſtenſiim cst.
ergo neque b p ipſa h o minor erit.
7714. quinti
Si igitur ab h
88G24[Figure 24] ducatur linea ad
rectos
angulos ip
ſi
n o, coibit cum
b
p, atque inter
b
&
p cadet. ]
_Corruptus
erat hic_
_locus
in tranſlatio-_
_ne
.
Illud uero ita de-_
_monſtr
abitur.
Quo-_
_niam
p f non eſt mi-_
_nor
o m, nec p b ip-_
_ſa
h o;
ſi ponatur p f_
_æqualis
o m;
& p b,_
_ipſi
h o æqualis erit._

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