1quo ſcilicet ln, om conueniunt.
Poſtremo in figura
aplqbrmsctnudxoy centrum grauitatis trian
guli pay, & trapezii ploy eſt in linea az: trapeziorum
uero lqxo, qbdx centrum eſt in linea zk: & trapeziorum
brud, rmnu in kφ· & denique trapezii mstn; & triangu
li sct in φc. quare magnitudinis ex his compoſitæ centrum
in linea ac conſiſtit. Rurſus trianguli qbr, & trapezii ql
mr centrum eſt in linea bχ. trapeziorum lpsm, pacs,
aytc, yont in linea χφ· trapeziique oxun, & trianguli
xdu centrum in ψd. totius ergo magnitudinis centrum
eſt in linea bd. ex quo ſequitur, centrum grauitatis figuræ
aplqbrmsctnudxoy eſſe punctum K, lineis ſcilicet ac,
bd commune, quæ omnia demonſtrare oportebat.
aplqbrmsctnudxoy centrum grauitatis trian
guli pay, & trapezii ploy eſt in linea az: trapeziorum
uero lqxo, qbdx centrum eſt in linea zk: & trapeziorum
brud, rmnu in kφ· & denique trapezii mstn; & triangu
li sct in φc. quare magnitudinis ex his compoſitæ centrum
in linea ac conſiſtit. Rurſus trianguli qbr, & trapezii ql
mr centrum eſt in linea bχ. trapeziorum lpsm, pacs,
aytc, yont in linea χφ· trapeziique oxun, & trianguli
xdu centrum in ψd. totius ergo magnitudinis centrum
eſt in linea bd. ex quo ſequitur, centrum grauitatis figuræ
aplqbrmsctnudxoy eſſe punctum K, lineis ſcilicet ac,
bd commune, quæ omnia demonſtrare oportebat.
8. primi
33. primi
28. primi.
13. Archi
medis.
medis.
Vltima.
THEOREMA III. PROPOSITIO III.
Cuiuslibet portio
nis circuli, & ellipſis,
quæ dimidia non ſit
maior, centrum graui
tatis in portionis dia
metro conſiſtit.
nis circuli, & ellipſis,
quæ dimidia non ſit
maior, centrum graui
tatis in portionis dia
metro conſiſtit.
9[Figure 9]
HOC eodem prorſus
modo demonſtrabitur,
quo in libro de centro gra
uitatis planorum ab Ar
chimede demonſtratum eſt,
in portione contenta recta
linea, & rectanguli coni ſe
ctione grauitatis centrum
eſſe in diametro portio
nis. Et ita demonſtrari po
modo demonſtrabitur,
quo in libro de centro gra
uitatis planorum ab Ar
chimede demonſtratum eſt,
in portione contenta recta
linea, & rectanguli coni ſe
ctione grauitatis centrum
eſſe in diametro portio
nis. Et ita demonſtrari po
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