# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0143
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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 59, page id 834940469:0143
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=143
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000143.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.86
# 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.

FISErUnCITZMLAZ: _ quia rrianguIAXR5, XIX4, sunc simi-
lia propcer paraCHaSRF, IIS, est veX 4 ad X 3 ica X II94 X
R, hoc cA, I0 20OS; lea veX4 adX3 iCa ErUnCUS ABDZ X 2
ad eruncum PLM LR2; _ prOIndC UE ETUNCUS ABDZY2 ad
rruncum YZKMN = aa reciproce IO ad O5, quod demon-
a
CONSFOTARINM.
Iproinde componendo tocus exlindricus ABDML H
es aderuncum inferiorem YZML. H2 veradiusrocatio.
nis IS ad ditantiam incer cenerum grauitatis Aigura e axem
rocationis ciuldem nempeOS.
P XO P. 30. T ZI F O R F M A.
Eildem positis quae in antecedente; superficies trunci onius est ad su
perficiem trunci alterius reciproce ut partes radii rotationis
resecta a centro gravitatis perimetri fieura.
Adem AC Agura _ Praeparario, quae in ancecedente, hoc
 Tolum excepeo; quodO, P, puncta nunc supponancur
ehe concra gravicaris perimerrorum balium oppolitarum.
Dico superkiciem erunci ABDZ. Y2 eNc ad superticiem trunci
2YZMLK, Ve reciproce 10ad05. A mediis punctis rectarum
FI3 CS, nempe FB, RI) aUCANEUFReCtX FIS) HF, BCCMON FIR SC-
cons OP in X; erunt icsque inter se parallelIXe _ aequales re-
Ata FI PO, OS, item F C, FIR, IS, item FR, HI S. Ouoniam F R
bitariam secac OS, bitariam quoque secabic in riangulo LC
Sommesrectasipei OS aequidittances, et proinde bitariam
Secabit omnes diamerros rect an gulOrU IN FTUNCO ABDZ Y2
eplano FIS Onormalicer secatorum; d ideo cransibie per
omnia cenera grauicacis oppolirorum lacerum basi cxlindri-
ci perpen dicularium rniulcuiusque ex illis rectansulis, quo
II 2
BiAMm