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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 118, page id 834940469:0202
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=202
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000202.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.
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# After the first blank line: the recognised lines in reading order, one per line.

TIC
CB in ratione P ad O. sc F. N equalis rectae B A, icem angulus
reCtUS FNK _ curra FR calisnacurae, ve (ducta recta quacur-
que HM parallela recte F.N)racio HIM ad FN CcmulciplicatA
rarionis KM ad RNin ratione P ad Q. Copleatur rectangulum
FNII prOdUCATUrqUEMEI in C; ee ducatur recta D a, ItaVE
DE AC aequalis recta HIM, e ideo P A aequalis erit rectae
CFI. RarioD E ad BA (CWFIM ad FH est mulciplicara ration
nis C D ad CBinrarione P ad C, aeque ratio HIM ad F. NCIE
mulciplicata rarionis AEM ad XN leu LC ad IF in cademratio.
ne P ad9; _ ideove CD ad C Bita IC ad IF, eAtque retR ad
C. FLIca AC ad AFs _ ideo (ex huius 24) ve rectangulum
FK ad Rguram FFTKI, hoc eA (ex huius 54) uc P. (.O ad P ica
Arcus BC. ad axem ACUrK AEC crolurae, qui hCF Preliquis
manencibus ut prius, ACqs Curra FTK calis nacura, ve (ducta
recto quacunq; STH parallela rectae FI) PF lic ad SPuc Agura
FHMI ad Aguram FHIC. Dico Rguram FTUI ene spacium lpi
roleAFC erolurum. Manifectum est constructione rectam
IL eNe aXem ASUrA AF C cuolurae; codemque modo (rE
prius olenlum est) demonstratur rectanguluin FHI eNC ad
figuram inferipeam FHI C ut arcuS L. E ad axem sigurK A P
euolucae. Racio FI sevaxis AOUrR AFC euolura ad aZCm A-
surae AF erolura est compolicas exracione rectae F I ad ar-
cum BC. SCW AGUrA FHIRI ad reCtanGUIuM ANKI, ex rarione
arcus BC ad arcum B D seu recta IF ad rectam FC, (quod (IC
probo, reCDad C B ica IC adIF, e dividendo, ee con-
vercendo, ve C B ad BD ita IF ad FG) Peu rectangu.
li FNXT ad rectanguIum FNMO, ex racione arcus BD
ad arcum L. F (Cu reCtE D A ad rectam F a nempe rectE
CM ad rectam GHI seu rectanguli FNM C ad rectangulum
ESFTG, _ exratIONC ArCUS F L. ad aXem AGUTA AF CUOIUFE
Leu reccanguli FS HIC ad Rguram FHCi ac patec rarionem
AsurS FHR Iad Eguram F H C componi ex eildem racion
puS) ec ideove FI ad axC Agurae AF erolucae ica Agura LHKI
ad Aguram FHIO, hoC CA vE FI ad SY vel FV, estisitUT FV
AXIS