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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 41, page id 834940469:0125
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=125
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.90
# 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.

Secundo, Rheri porest, cadac linca OB exera lineam OA
in puncto D; suppono curuam OA (quo propius ad A) eomi-
nus distare ab aze C T; cadat D F perpendicularis in rectam
OInon productam inera curuam DO, ec ideoD F CMminor
axC tgure TDOcuoluce: (ic in enoluca ordinacim applicata L
H Equalis rectED I; manifectum eAt AGUraM OFFTI eNCIOD
Cuolueam; aEque II CCU ITF maior cA quam rectAR C, e
ideoCTeCmaior quam IIF, nempc D Fmaior quam axis A-
sureIBO cuolure, quod eMabsurdum exhuius anccceden.
ces ee proinde BO non cadic extra AO: eodem modoproba.
cur OB non coincidere cum OA, cadic erso intra, quod de.
monstrare oportuit.
Cnod h perpendicularis DF cadac in IO productam; non
PotestIOB ese Fcura IO AC involuca, quoniam le maioe
erit quam vila ordinacim applicara in tisura IOAC.
CONSFOTARIVM.
Voniam AGUrECAOOR; TBOP, se mutuo eangune in
puncto o, manifestum est rectam, unam ex histiouris
tansencem in puncto o, alceram eriam in eodem puncto can-
Sere; aeque hine cuidens estmechodus ducendirectam, que
inuolucam in daco puncto rangat, si modo derur mechodus
ducendirectams que cuoluram in daro puncto conrineat, de
C contra; recta enim eangens cuolurum eodem inclinat an
Sulo ad ordinacim applicatam, quo eansensinuoluram in-
Clinac ad eandem ordinacim applicacam in cenerum inuolu-
cionis cum reliquis concurremcem.
Omnia predicta de fipurarum involurione eodem modo
demonctrantur, quando cuolure curua est conueravertus
axem etium  im noctris Aguris cuolurE curua it VerluS aNC
ConCaHd0
PAOP