Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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[41.] COMMENTARIVS.
Page: 71 (30)
[42.] LEMMA I.
Page: 73 (37)
[43.] LEMMA II.
Page: 74
[44.] LEMMA III.
Page: 76
[45.] LEMMA IIII.
Page: 77 (25)
[46.] LEMMA V.
Page: 78
[47.] LEMMA VI.
Page: 81 (35)
[48.] II.
Page: 83 (36)
[49.] III.
Page: 83 (36)
[50.] IIII.
Page: 84
[51.] V.
Page: 84
[52.] DEMONSTRATIO SECVNDAE PARTIS.
Page: 85 (37)
[53.] COMMENTARIVS.
Page: 87 (38)
[54.] DEMONSTRATIO TERTIAE PARTIS.
Page: 90
[55.] COMMENTARIVS.
Page: 93 (41)
[56.] DEMONSTRATIO QVARTAE PARTIS.
Page: 97 (43)
[57.] DEMONSTRATIO QVINT AE PARTIS.
Page: 99 (44)
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
Page: 102
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
Page: 105
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
Page: 105
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
Page: 107
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
Page: 113 (1)
[63.] PETITIONES.
Page: 114
[64.] THEOREMA I. PROPOSITIO I.
Page: 114
[65.] THEOREMA II. PROPOSITIO II.
Page: 118
[66.] THE OREMA III. PROPOSITIO III.
Page: 121 (5)
[67.] THE OREMA IIII. PROPOSITIO IIII.
Page: 122
[68.] ALITER.
Page: 123 (6)
[69.] THEOREMA V. PROPOSITIO V.
Page: 125 (7)
[70.] COROLLARIVM.
Page: 127 (8)
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22
DE CENTRO GRAVIT. SOLID.
Ex
demonſtratis
perſpicue
apparet
,
portioni
ſphæræ
uel
ſphæroidis
,
quæ
dimidia
maior
eſt
,
cẽ
trum
grauitatis
in
axe
conſiſtere
.
Data
enim
108
[Figure 108]
qualibet
maio
ri
portiõe
,
quo
niã
totius
ſphæ
ræ
,
uel
ſphæroi
dis
grauitatis
centrum
eſt
in
axe
;
eſt
autem
&
in
axe
cen-
trum
portio-
nis
minoris
:
reliquæ
portionis
uidelicet
maioris
centrum
in
axe
neceſ-
ſario
conſiſtet
.
THE
OREMA
XIII
.
PROPOSITIO
XVII
.
Cuiuslibet
pyramidis
triã
109
[Figure 109]
gularem
baſim
habẽtis
gra
uitatis
centrum
eſt
in
pun-
cto
,
in
quo
ipſius
axes
con-
ueniunt
.
Sit
pyramis
,
cuius
baſis
trian
gulum
a
b
c
,
axis
d
e
:
ſitq
;
trian
guli
b
d
c
grauitatis
centrum
f
:
&
iungatur
a
f
.
erit
&
a
faxis
eiuſ
dem
pyramidis
ex
tertia
diffini-
tione
huius
.
Itaque
quoniam
centrum
grauitatis
eſt
in
axe
d
e
;
eſt
autem
&
in
axe
a
f
;
quod
proxime
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