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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 73, page id 1047377675:0089
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Cuius baks est ambitus Rgurxe AB de altiendo circumFeren- hucuss
Tia radiiF C; aeque eadem superhcies Colidi rorundi est ad
Syperficiem erunci inferioris exlindrici recti soper ABreCC.
2.+
Eti aplano balem AB Peminormalicer Pecanre in recta D Fix huiusi
ve circumferentia radii C F ad C F; sed rectangulum cuius
halis estambitus Rgurxe AB ec alcitudo circumferencis radii
E C. Peu superticies Colidirocundi genici exroracione tigura
AB cirCa D F est ad rectangulum cuius balis es ambiruS A.
Durx AB _ alricudo FC, re circumferentia radii F.C ad FC:
ee proinde superticies erunci inferioris relectiaequalis est re.
Etansulo cuius balis est ambicus Agura A B ee alcirudo LC
quod demonstrare oporcuit.
Lodem modo demonstrarur hec proposicio, i superticies
exlindricirecti inElcac line E rel lincis perimecrum non clau.
dentibus.
SC F OL IV M.
Hduabus praecedentibus eiidem mediis demOnseratur,
a quomodocunque secetur cxlindricus, in prima, crun-
cum inferiorem esse aequale cxlindrico eandem cum propo.
hieobasem habenti se alcicudinem aequalem perpendiculari
recte ad basem ex eius gravitaris centro excitare vique ad
planum secans, e in secunda, superkciem erunci inferioris
esse aqualem rectangulo basem habenci aequalem perime-
crobaleos exlindrici propolici de alcitudinem aequalem per-
Pendiculari rectae ad basem crlindrici propoliti ex CenErO
Grauiratis eius perimerri excitata vique ad planum lecins.
PROF. 39. THI FORE M A.
Cytrns s habens basem ab ona parte a recta termina
tam, secetur plano per illam rectam, e rotetur basis cylindrict
circa eandem rectam, ut fiac solidirorundi porrio qualibet; erie
portionis centrum cranitatis idem cum contro eranitaris areus
C2
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