Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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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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