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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 117, page id 834940469:0201
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=201
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000201.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.88
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

ve Dsi  ad CL; eodeniqi modo arCUSEL ER ad axem ABUER
ABcuolur UE P.C2dO; ec id covearcus BC ad rectam FI
iea arcus LP adtaRem ROurA AE cuolura, et permurando, vE
arCUS BC ad ArCMM L R IFA RCCEA LI ad aZCM ADUIEK A P CvO-
ducaaE ratioarcus BC ad arcum LF CA compolica ex rarione
arcus BC ad BI de ex rarione arcus BD ad arcum L F CcurCCtC
CA ad recta FA, _ id eo recta Fil, CR ad axem AgurE AF erolu.
ee inracione copotira ex racione arcus BC ad arcum BD _ CX
rarione rectae C. A ad rectam P. A: Ced rariO C A ad E A est inul.
ciplicata rarionis BC ad BD inratione D ad O, _E COnVerEON-
dos componendo ec rursus converrendo, racio AC ad AP (eu
IXad OFIeA malriplicaca illius rationis (quae componirur
exratione arcus BC ad arcum BD ee ex ratione recte C A ad
reCtAM EA) nempe racionis rectx FI ad AXCM AOUFE AE CuO-
lucae in racione P ad P.2. Ted ratio TK ad C FI est mulcipli.
cata racionis FI ad FC in ratione P ad P. ; de proinde F.C
estaxis ASura AE. Cuolutae, suncque EA, GFI, ae quales; d id co
(cum hoc semper hac) manifectum est ex huius r4 de eius
consectario Aguram FHTKI eNC AGurAM AF C erolutam, quod
demonstrandum crat.
Figura FFTKI eK illa descripea in huius 5 4, cum que poce.
ric inveniriresta illam eansens in puncto daco ope huius7,
pocerit quoque (exconlectariohuius 18) recea duci spira-
lem AEC tansens in puncto daco: (aepisime criam (vepatee
ex huius 58) invenitur recca aequalis currae LHI, quae criam
aqualis eA Spirali CUEVA AEC.
Ope hnius 15 vel 26 nullo negocio probarur lccrorem
BAC esse ad spacium spirALE AEC UEZPf ad
P RO P. 65. T TI EO R F H A0
Ie circuli secror C AB includens spiralem AF C. calisna
d cura, ve (ducta recta quacunque at producta arcum le
CanEC in D) eatIO D E Aa BA sic mulciplicata rarionis C. D ad