Valerio, Luca, De centro gravitatis solidorvm libri tres

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1rium ad cylindrum KH, cum vt LG ad GB, ita ſit he­
miſphærium DBE ad cylindrum DH. vt igitur prima
cum quinta ad ſecundam, ita tertia cum ſexta ad quartam;
videlicet, vt tota LN ad BF, ita portio ABC ad cylin­
drum KH. Quod erat demonſtrandum.
PROPOSITIO XVII.
Omnis portio ſphæræ abſciſſa duobus planis
parallelis centrum intercipientibus ad cylin­
drum, eiuſdem altitudinis, cuius baſis æqualis eſt
circulo maximo, eam habet proportionem, quam
ad axim portionis habet exceſſus, quo axis portio­
nis ſuperat tertiam partem compoſitæ ex duabus
minoribus extremis, maioribus poſitis duobus
axis ſegmentis, quæ fiunt à centro ſphæræ in ra­
tionibus, ſemidiametri ſphæræ ad prædicta ſeg­
menta.
Sit portio AB
CD, ſphæræ, cu­
ius centrum G,
abſciſsa duobus
planis parallelis
centrum G inter­
cipientibus, quod
erit in axe portio­
nis, qui ſit HK.
Sectiones autem
86[Figure 86]
factæ à prædictis planis ſint circuli, quorum diametri AD,
BC, qui circuli erunt baſes oppoſitæ portionis. Sectaque
per punctum G, portione ABCD plano ad axim erecto,

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