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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 70, page id 1047377675:0086
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# Lines: 34 recognised, mean confidence 0.90
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23
70
ceneris C, L, inrorationis axes DF, HII, demitcaneur perpé.
diculares rectae CF, L. O, quae sunerocacionisrodii: maniter.
Aum est cylindrum genicum exrocatione rectanguli HIR cir-
CaHIaequalem esse Colido cuius basis eA circulus ex radioL
 de alcicudo FII, hoc est Colido cuius balis eA rectangulum
ex Iu in semicircumferencium circuli ex radio IK velToTam
circumferentium exradio OL. d alcitudo HI, quod idem elt
cum Polidocuius BasS es rectangulum IIR e alcirudo cir.
cumterentia circuli ex radio OL; Ced cylindrus exrocatione
FIK circa FII eK ad Colidum rocundum exrocatione AB cirCa
huius. DF. in rarione composica ex proportione Fisurae LIR ad tigur
ram ABd rectae OI adrectam F.C. seu circumterencia radii
OL ad circumferentiam radii F. C, aeque Colidum cuius ba(IS
TIK e alcicudo circum ferentia radii OL, seu crlindrus geni
Eus exrocatione figure HIK circa HII, CM ad Colidum cuius ba.
sis A B e alcicudo circumferencir radii E C in eadem rario.
ne; e ideo cxlindrus exrocacione tigure HK circa HIlest ad
solidum rocundum exroracione fisurae AB circa DFve idem
praedictus cylindrus ad Colidum cuius balis AB e alcicudo
circumterencia circuli ex radio F. C; & proinde Colidum ron
cundum ex rocacione fisure ABcirca D L aequale cs cylin
drico cuius balis A B e alticudo circumterentia radii L C3
quod demonstrare oporeuit.
P RO P. 36. T H FO R F M A.
Omnis solidirorundi superficies aequalis est rectaneulo cuius basis este
Perimeter feurae ex cuius rotarione sienitur solidumes alit
tude circumferentia in qua circumfertur centrum era
uitatis Perimetri fieura.
de Poes quae in ancecedence, sine cenera gravieatis
Perimerrorum ABurarUM HIR, AB, puncta L, C; dico
superticiem solidi rorundi orri exroratione fgurx AB circt
D