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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 111, page id 834940469:0195
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ad e. consideraris consderandis demonstratio non distert
ab utus
PROP. 62. ERF ORE M .t.
IIdem suppolicis cylindricis, qui in ancecedence; le d
Lcum alcicudine BF, ec suppolico cylindricum super I
AEFH sccari a plano ipsi bali Ceminormali ec eam secance in
recta AH: dico parallelopipedum super A BF F. eNc ad inte-
riorem eruncum cxlindrici superHIAEFH in racione 2O = P
ad0. Sic primo P minor quam O. (icque re AB adCC it2 B
Dad DR prorractam verlus A F, e compleatur quadrarum
ABFO ex parre a E, icem ex omnibus punctis R imasineeur
curua BRO: Pater ex constructione rationem BD ad DR CAC
mulciplicacam racionis BD adB Fin racione Pad C, ee divi-
dendon rario DR ad BF, nemperacio D R ad FO, eAt mulei.
plicoca rarionis BD ad BFinracione O = P adC, de ideo qua
drAEUM NB FO eAtad Aguram BR O Finracione 2 G= P ad huius
B AE VEABFEAdNBFOica FF seu AB 2d OF (cu BF, de ideo
recconsulum ABFF eA ad Eguram BROFinracione compo-
sICa ex ratiOnC 22 P ad O e ex racione AB ad BF. Ouoniam
eA DE AB ad CC ica BD ad DR, eric receangusum A B in DR
aequalc rectangulo BD in CO, AC rectanSUIUm AB in DR CH
communis incersectio crlindricirecri super BROF alcicudi
nem habentis AB cum plano secance super HD ad balem
normali, ec rectangulum BD in C C Cst incersecrio ciuldem
prioris plani producci cum erunco inferiore crlindrici super
HAEFEI; cum que hae incerlecciones semper concinganc elle
aequoles, manitellum eA interiorem eruncum cylindrici su-
DCA HTAEFH Cqualem esse cslindrico super BROF alcicudi
nem habenci AB; e idco parasselopipedum super ABF. F
cum alcicudine AB es ad cxlindricum super BROF scucrun-
cum inferiorem cxlindrici luper HAEFHL re baliS ABF F. ad
basem BROF, HOCCA in PAEIOME COMPOLIEA CMEAEIOnC Z