Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
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page |< < (34) of 213 > >|
Produc. itur enim
49[Figure 49] q f ad eandem lineá
c
h in n, ſecás a b c
ſectionem
in o:
&
iuncta
b c, quæ tran
ſibit
per f, ut oſten-
ſum
eſt, erunt trian-
gula
c g f, c d b ſi-
milia
:
itémq; ſimi-
lia
íter ſe, c f n, c b l.
quare ut g f ad d b,
114. ſexti: ita erit c f ad c b:
& ut c f ad c b, ita
f
n ad b l.
ergo g f
2211. quinti ad d b, ut f n ad b l:
& permutando g f
ad
f n, ut d b ad b l.

eſt
autem d b æqua
lis
ipſi b l ex trigeſi
maquinta
primi li-
3314. quinti bri conicorum.
ergo
&
g f ipſi p i æqua
lis
erit:
& ex trige
ſimatertia
eiuſdem
linea
c h ſectionem
e
f c in eodem

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