Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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DE CENTRO GRAVIT. SOLID.
cta b d in g puncto, ducatur c g; & protrahatur ad circuli
uſque circumferentiam;
quæ ſecet a e in h. Similiter conclu
demus c g per centrum circuli tranſire:
& bifariam ſecare
lineam a e;
itemq́; lineas b d, a e inter ſe æquidiſtantes eſſe.
Cumigitur c g per centrum circuli tranſeat; & ad punctũ
f perueniat neceſſe eſt:
quòd c d e f ſit dimidium circumfe
rentiæ circuli.
Quare in eadem
Figure: /permanent/library/4E7V2WGH/figures/0117-01 not scanned
[Figure 73]
diametro c f erunt centra gra
13. Archi
medis.
uitatis triangulorum b c d,
a f e, &
quadrilateri a b d e, ex
9. @iuſdé.quibus conſtat hexagonum a b
c d e f.
perſpicuum eſt igitur in
ipſa c f eſſe circuli centrum, &

centrum grauitatis hexagoni.
Rurſus ducta altera diametro
a d, eiſdem rationibus oſtende-
mus in ipſa utrumque cẽtrum
ineſſe.
Centrum ergo grauita-
tis hexagoni, &
centrum circuli idem erit.
Sit heptagonum a b c d e f g æquilaterum atque æquian
gulum in circulo deſcriptum:
Figure: /permanent/library/4E7V2WGH/figures/0117-02 not scanned
[Figure 74]
&
iungantur c e, b f, a g: di-
uiſa autem c e bifariam in pũ
cto h:
& iuncta d h produca-
tur in k.
non aliter demon-
ſtrabimus in linea d k eſſe cen
trum circuli, &
centrum gra-
uitatis trianguli c d e, &
tra-
peziorum b c e f, a b f g, hoc
eſt centrum totius heptago-
ni:
& rurſus eadem centra in
alia diametro cl ſimiliter du-
cta contineri.
Quare & centrum grauitatis heptagoni, &
centrum circuli in idem punctum conucniunt.
Eodem mo

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