# Leibniz Legible — https://leibnizlegible.com
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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 43, page id 834940469:0051
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=51
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000051.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.92
# 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.

BarIOMLLMIH LIILEL DAESIICIIOSTAMMA PDMIL, FDMK; cune
continue proportionalia, quoniam eriansulum AFL est me
dium arichmericum decraperium AFC L. medium geomerri-
cum inter ea deparallellogramma, repatet ex huius 13; sed
TriangULUI AFL, craperium AFOL, ee craperium AFFL
Tine coiul pepionalia exhuius r; et proindetraperiu
AFEL. CA mCctu umonicum incer parallellogramma
POML, FDMK. Gud demonstrare oporeuit.
PROD. XXIR. PROBLEMA.
Dato circulo aequale inuenire quadratum.
Sit quadratu circulo circulcripeu 4000000000000000: erie
ersocide inseripti 2000000000000000, inter quae quadra-
ca lucmedium geomerricum 2828+27524746190 Octasonit
nempe inera circulum: deinde inter octagonum intra circu-
lum de quadrarum extra sic medium harmonicum, quod leui
labore invenitur diuidendo duplum quadraci octagoni in-
era circulum seu duplum rectanguli a quadraris intra e Cx-
tra circulum per lummam quadraci e octagoni intra; ericq;
inventim medium harmonicum, octagonun circumseriptu,
nempe 3313708498984760. Continuetur haec Perier conuer-
Benspolysonorum complicatorum donec prima medieras
nocarum (ic eadem in veroque termino convergente, nimirit
vque ad polysona lacerum 16384; in seripeum enim est 3r4-
2592576586860 et Circum (CrIDEUM 3T4 2592692091258;
non consideratur nota vlcima, quoniam in divilionibus de
radicum extractionibus semper a rera quancitare pautulum
aberramus, quod vlcimam nocam impertectam plerumque.
reddic. achibeatur deinde approvimario in huius 20d 21
demonctrata, de invenientur termini inera quos est vero cir-
culimelura, posico diametri quadrato 4000000000000000.
3141542653589789 minor circulo e 3141592653589793
codemmaior, de proindenon lacer circulimensura, quam
inuenire oporcuir. polrgonorum seriemhic apponO
TMEra