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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 44, page id 1047377675:0060
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44
25. Vincentio exlindricum rectum cuius baus OTVR _ aIFI
doP aequalem esse erunco inferiori cylindrici recti super AB
sectire dictum est supra, quod demonstrare oporeuie.
Hinc eriam evidens cA cxlindricum cuius BasS OT VR &
alticudo P esse magnirudine ee grauicare analogum dicto
crunco cylindrici recti, de proinde bolis quoque cxlindrici
recti OTVR eidem erunco est analoga magnieudine ee gra-
uitace.
Suppolico omnium Agurarum quadraturas ee cenera gra.
vicatis daca esse, Facile eric omnium truncorum cxlindrici
cuiusliber recti cubaturas ee cenera gravicatis ex hac pro.
Policione de praecedente invenires vele contra: eodem mo.
do ex huius secunda cerria de quarea dacis omnium Aouraru
guadracuris de pravicacis ceneris non disticile est invenire
superkcieicuiuscunque crunci cylindrici recti quadraturam
e grauicaris cenerum vele contra, quod hic admonvisse sut;
hciaE.
PROD. ZF. PROBLEMA.
Te Polidum rocundum quodlibet sectum per diamerrum
ADplano normali ad balem circularem BOCN a dia-
mecco BC, d incersectione cum plano cfficiens tiguram
ABC: secetur solidum rocundum ABC ab alio plano quo-
modocunque F.NC:O ad planum ABnormali, ita ve commu
nis solidi de plani incer sectio AaF AgurA F NC. O, cuius inter-
secrio cum planO ABC CArCCTA F CT: AUICATUF PR FCCEX BC
parallella _ recta AD occurrens in l. concipiatur solidum
rocundum, diamerrum habens FC, ex circulis consacum,
quorum radii lune omnes perpendiculares ex reCTA FC in
curuam; FO, ica re diamerer higura F, C per centra infinico-
rum illorum circulorum transiens, ad illos omnes inclinet in
ansulo aequaliipsi F C B. ex daris, Colido AB C. de punceis fin
C oporcer erium exhibere mensuram Colidiillius rorundi,
su