299279LIBER III.
lutionem circa, CN.
Solida anularia ſtricta, patet ergo cylindrum
genitum ab, AN, ad ſolidum anulare ſtrictum genitum ex figura, B
DMO, quæcunque ſit, eſſe vt, AN, ad eandem figuram, BDM
O; ſicq; eſſe cætera ſolida ſimilaria genita ex his, iuxta ſumptamre.
gulam ſiue, CN, ſiue, NE, vtrifq; ſolidis communem.
genitum ab, AN, ad ſolidum anulare ſtrictum genitum ex figura, B
DMO, quæcunque ſit, eſſe vt, AN, ad eandem figuram, BDM
O; ſicq; eſſe cætera ſolida ſimilaria genita ex his, iuxta ſumptamre.
gulam ſiue, CN, ſiue, NE, vtrifq; ſolidis communem.
COROLLARIVM XXVII.
IN Prop.
30.
colligimus ſolidum ſimilare genitum ex, AF, dem-
pto ſolido ſimilari genito ex, CF, ad ſolidum ſimilare genitum
ex figura, HBDMF, dempto ſolido ſimilari genito ex figura, HB
OMF, eſſe vt, AN, ad figuram, BDMO. Aſſumatur hic illius fi-
194[Figure 194]
gura, &
pro noſtro exemplo
ſupponatur, AF, eſſe rectan-
gulum, reuoluaturq; circa ma-
nentem axim, HF, cylindrus
ergo genitus ex, AF, dempto
cylindro genito ex, CF, ad ſo-
lidum genitum in reuolutione
ex figura, BDMO, erit vt, A
N, ad, BDMO; ſolida autem
genita ex figuris inſcriptis re-
ctangulo, BDMO, cum con-
ditionibus ibirequiſitisvocabi-
mus communiter: Solida anu-
laria lata; eadem patent de cę-
teris ſolidis ſimilaribus genitis
ex, AN, & figura, BDMO, etiamſi, AF, non ſit rectangulum,
quia tunc intelligo fieri generationem ſolidorum per deſcriptionem
ſimilium figumrum, & non per reuolutionem, vt in exemplo ſolito
aſſumpſi, vnde patet, & c.
pto ſolido ſimilari genito ex, CF, ad ſolidum ſimilare genitum
ex figura, HBDMF, dempto ſolido ſimilari genito ex figura, HB
OMF, eſſe vt, AN, ad figuram, BDMO. Aſſumatur hic illius fi-
ſupponatur, AF, eſſe rectan-
gulum, reuoluaturq; circa ma-
nentem axim, HF, cylindrus
ergo genitus ex, AF, dempto
cylindro genito ex, CF, ad ſo-
lidum genitum in reuolutione
ex figura, BDMO, erit vt, A
N, ad, BDMO; ſolida autem
genita ex figuris inſcriptis re-
ctangulo, BDMO, cum con-
ditionibus ibirequiſitisvocabi-
mus communiter: Solida anu-
laria lata; eadem patent de cę-
teris ſolidis ſimilaribus genitis
ex, AN, & figura, BDMO, etiamſi, AF, non ſit rectangulum,
quia tunc intelligo fieri generationem ſolidorum per deſcriptionem
ſimilium figumrum, & non per reuolutionem, vt in exemplo ſolito
aſſumpſi, vnde patet, & c.
COROLLARIVM XXVIII.
SECTIO PRIOR.
IN Prop.
32.
docemur ſolidum ſimilare genitum ex, AR, ad ſo-
lidum ſibi ſimilare genitum ex figura, BCGRMD, demptis
ſolidis ſimilaribus genitis ex trilineis, BCG, GRM, eſſe vt,
lidum ſibi ſimilare genitum ex figura, BCGRMD, demptis
ſolidis ſimilaribus genitis ex trilineis, BCG, GRM, eſſe vt,