1aliam trium harum figurarum pertinentes. Quod ſi præ
terea factæ ſectiones hemiſphærij ABC à cylindri AF
ſectionibus, circuli à circulis concentricis auferri intelli
gantur; reliquæ totidem erunt ſectiones reliquæ figuræ ſo
lidæ, dempto ABC hemiſphærio ex toto AF cylin
dro, circuli deficientes circulis concentricis, hoc eſt prædi
ctis ABC hemiſphærij ſectionibus prout inter ſe reſpon
dent. Nunc ſuper ſectiones hemiſphærij ABC, & co
ni EDF cylindris conſtitutis circa axes, quæ ſunt ſeg
menta æqualia axis BD, intelligantur duæ figuræ ex cy
lindris æqualium altitudinum, altera inſcripta hemiſphæ
111[Figure 111]
rio ABC, altera cono EDF circumſcripta. Si igitur
à toto AF cylindro auferatur figura, quæ inſcripta eſt
hemiſphærio ABC, relinquetur figura quædam ex cylin
dris circa prædictos axes, vt ſunt BK, KH, HL, LD,
deficientibus ijs cylindris, ex quibus conſtat figura inſcri
pta hemiſphærio ABC, & vno integro ſupiemo XF
cylindro, circumſcripta reſiduo AF cylindri dempto A
BC hemiſphærio, circumſcriptione interna: talis autem
figuræ circumſcriptæ centrum grauitatis, per ea, quæ in
primo libro, erit in axe BD, quemadmodum & aliarum
duarum figurarum ex cylindris, quarum altera inſcripta
eſt hemiſphærio ABC, altera cono EDF circumſcripta.
terea factæ ſectiones hemiſphærij ABC à cylindri AF
ſectionibus, circuli à circulis concentricis auferri intelli
gantur; reliquæ totidem erunt ſectiones reliquæ figuræ ſo
lidæ, dempto ABC hemiſphærio ex toto AF cylin
dro, circuli deficientes circulis concentricis, hoc eſt prædi
ctis ABC hemiſphærij ſectionibus prout inter ſe reſpon
dent. Nunc ſuper ſectiones hemiſphærij ABC, & co
ni EDF cylindris conſtitutis circa axes, quæ ſunt ſeg
menta æqualia axis BD, intelligantur duæ figuræ ex cy
lindris æqualium altitudinum, altera inſcripta hemiſphæ
111[Figure 111]
rio ABC, altera cono EDF circumſcripta. Si igitur
à toto AF cylindro auferatur figura, quæ inſcripta eſt
hemiſphærio ABC, relinquetur figura quædam ex cylin
dris circa prædictos axes, vt ſunt BK, KH, HL, LD,
deficientibus ijs cylindris, ex quibus conſtat figura inſcri
pta hemiſphærio ABC, & vno integro ſupiemo XF
cylindro, circumſcripta reſiduo AF cylindri dempto A
BC hemiſphærio, circumſcriptione interna: talis autem
figuræ circumſcriptæ centrum grauitatis, per ea, quæ in
primo libro, erit in axe BD, quemadmodum & aliarum
duarum figurarum ex cylindris, quarum altera inſcripta
eſt hemiſphærio ABC, altera cono EDF circumſcripta.