Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
[71.] THEOREMA VI. PROPOSITIO VI.
[72.] THE OREMA VII. PROPOSITIO VII.
[73.] THE OREMA VIII. PROPOSITIO VIII.
[74.] THE OREMA IX. PROPOSITIO IX.
[75.] PROBLEMA I. PROPOSITIO X.
[76.] PROBLEMA II. PROPOSITIO XI.
[77.] PROBLEMA III. PROPOSITIO XII.
[78.] PROBLEMA IIII. PROPOSITIO XIII.
[79.] THEOREMA X. PROPOSITIO XIIII.
[80.] THE OREMA XI. PROPOSITIO XV.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
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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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