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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 70, page id 834940469:0154
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=154
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

7C
centris C, L inrocacionis axes DF, HII, demiteantur perpe
diculares recta C F, L O, quae lunerocacionisradii: monite
Rum est cylindrum genicum exrocatione rectanguli FIK cir
CoHIaequalem esse Colido cuius balis cM circulus ex radiol
Rd alticudo FTI, hoc cA solido cuius balis elt rectangulum
ex IK in Pemicircum ferenciam circuli ex radiolK velcoram
circumferenciam exradio OI. de alticudo HI, quod idem eR
cum Colido cuius basis cs rectangulum HK de alcitudo cir-
cumferentia circuli ex radio OE; Ccd cylindrus exroratione
FIK circaFII eR ad Tolidum rocundum exroratione AB cirCA
huius. D F in ratione composica ex proporrione Eisurx FIK ad tigui
rum ABd rectae OL ad rectam F. C. scu circumterenciae radii
OL3d circumterentiam radii E: C3 aeque Colidum cuius ba(is
FIK _ alcicudo circum terentia radii O L, seu cylindrus geni-
cus exrocatione figure HK circa HII, eA ad solidum cuius ba-
sis AB e alcitudo circum Ferencirradii E C in eadem ratio-
ne; ee id eo cxlindrus exrocacione tisure HTKcirca HIIett ad
Colidum rocundum exrorarione Fisurx AB circa DF ve idem
praedictus cxlindrus ad Colidum cuius basis A B ee alcirudo
circumterencia circuli ex radio P. C; e proinde solidumron
cundum ex roracione figure AB circa D L aequale eltcrlin
dricocuius balis A B e alcicudo circumterencia radii LC
quod demonstrare oporeuie.
PRO P. 36. Y Y FOR F M A.
norre
Omnis solidirotundi superficies aequalis est rectanento cujus basis est
Perimeter fieurae ex cujus rotarione sienitur solidumes alti-
tudo circumferentia in qua circumfertur centrum erqe
mm uitatis Perimetri fieurae
IIdem posiris quae in ancecedence, sine centra gravitaris
L Derimetrorum Agurarum ITK, AB, puncta L, C; dico
superticiem solidi rorundi orri exrotatione figurae AB CirCL
Id
F