1gulæ ſingulis prædicti coni, vel conicæ portionis
partibus ſiue fruſtis inter eadem plana parallela
reſpondentibus.
partibus ſiue fruſtis inter eadem plana parallela
reſpondentibus.
Eſto hemiſphærium, vel hemiſphæroides ABC, cu
ius axis BD, baſis circulus, vel ellipſis, cuius diame
ter ADC. ſolido autem ABC circumſcriptus cylindrus,
vel portio cylindrica AXEC: & conus, vel coni portio
ſit XDE, cuius vertex D, baſis circulus, vel ellipſis cir
ca XBE baſi ſolidi AE, vel ABC, prædictæ oppoſita,
ſecto autem ſolido AE, atque vnà cum ipſo eius partibus,
ſolidis ABC, XD
E, duobus planis ba
ſi ſolidi AE, vel
ABC, atque ideo
inter ſe quoque pa
rallelis, intelligan
tur trium ſolidorum
portiones ternæ in
151[Figure 151]
ter eadem plana pa
rallela: videlicet in
ter duo per XE,
FN, hemiſphærij, vel hemiſphæroidis minor portio HBL:
& reliquum cylindri, vel portionis cylindricæ FE dem
pta portione HBL: & coni, vel conicæ portionis fruſtum
XGME. ſimiliter inter duo plana per FN, OV ſolidi
ABC portio PHLT, eaque ablata reliquum ſolidi ON,
& fruſtum GQSM. Denique ſolidi ABC portio AP
TC, eaque ablata, reliquum ſolidi AV, & conus, vel
coni portio QDS. Dico reliquum ſolidi FE, dempto
HBL eſſe æquale fruſto XGME: & reliquum ſolidi ON
dempto PHLT, æquale fruſto GQSM: & reliquum
ſolidi AV dempto ſolido APTC æquale ſolido QDS.
ius axis BD, baſis circulus, vel ellipſis, cuius diame
ter ADC. ſolido autem ABC circumſcriptus cylindrus,
vel portio cylindrica AXEC: & conus, vel coni portio
ſit XDE, cuius vertex D, baſis circulus, vel ellipſis cir
ca XBE baſi ſolidi AE, vel ABC, prædictæ oppoſita,
ſecto autem ſolido AE, atque vnà cum ipſo eius partibus,
ſolidis ABC, XD
E, duobus planis ba
ſi ſolidi AE, vel
ABC, atque ideo
inter ſe quoque pa
rallelis, intelligan
tur trium ſolidorum
portiones ternæ in
151[Figure 151]ter eadem plana pa
rallela: videlicet in
ter duo per XE,
FN, hemiſphærij, vel hemiſphæroidis minor portio HBL:
& reliquum cylindri, vel portionis cylindricæ FE dem
pta portione HBL: & coni, vel conicæ portionis fruſtum
XGME. ſimiliter inter duo plana per FN, OV ſolidi
ABC portio PHLT, eaque ablata reliquum ſolidi ON,
& fruſtum GQSM. Denique ſolidi ABC portio AP
TC, eaque ablata, reliquum ſolidi AV, & conus, vel
coni portio QDS. Dico reliquum ſolidi FE, dempto
HBL eſſe æquale fruſto XGME: & reliquum ſolidi ON
dempto PHLT, æquale fruſto GQSM: & reliquum
ſolidi AV dempto ſolido APTC æquale ſolido QDS.
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