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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 84, page id 834940469:0168
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=168
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000168.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

84
viraris hgurae ABSO de currx A C eodem incerys110 distane
recta AB, quod incernallum Ec K: cenra quoque gravicaris
rectae AO de rectanguli ABRO eodem inceruallo distane à
huius, recta AB nempe.
35
huius.
3 acque hgura ABSO CA ad rectangu
Ium A B R OVEcurVa AOad rectam AO, e ideo primam de
tertiam ducenda in circumterencium cuius radius R, d PC-
cundam de quartam in circumterentiam cuius radius BRs erie
a
cylindricus cuius basis ABSO de alcieudo circumtereneia ex
radio H nempe lolidum rocundum genicum ex rocarione A.
gurae ABSO circa A B, ad cylindricum cuius ba(IS A BR O et
aleicudo circumferentia radii Be nempe cxlindrum genirum
36 eZFOTATiOnC ABRO CircA AB, Scur rectangulum cuius baAS
huius. AQec alcirudo circumterencia radii RE nempe superficies ge
nica exrocacione A O circa AB, ad rect angulum cuius balIS
AO ee alcitudo circumferentia radii Ba nempe circulu exra
dio AO, quod demonstrare oporcuir. 2
P RO P. 440 Y E F O R F M A.
Tcfgura quaecunque BCE cum rectangulo circum scripro
ABFD, quae Elibrentur ex recta BF; dicomomeneum
rectanguli ABFD ad momencum Agurae BC P esse uc cylin-
deusfactus ex rerolurione rectanguli AB F D circABF, ad
Solidum rocundum Factum ex revolutione BC F circa cgn.
demBE. Sic rectae AB parallela e aequolis quae cunque FFI
sicuram BCF lecons in C: bilecentur rectae LHI, CFI, in pun-
etSO, P; manifectum est momencum rectae LH este ad mon
mencum rectae C HI in rarione compolica ex ratione FHI ad
GHI de exratione OFTad PH, hoc estin duplicara ratione
FH ad CtI Ceu uc circulus ex radio FH ad circulum exradio
GHI, cumquehoc semper ica creniar, se primae e cerrix lem
Det