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# Page: https://leibnizlegible.com/page/834940469:0115
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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 31, page id 834940469:0115
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=115
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000115.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 recognised, mean confidence 0.87
# 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.

BC ad BHI ita arcUSF C sevarcuS C HI ad orcum OHI, Ced
BC later ant BHL, _ id eo C HImaior eA quam OHI, de
monstrandum.
ideoangulus C o en a  LB, Godcrat de
PXO P. 13. Z HI E O R F M A.
TEEGUTA ABMI, quae involura esCIAE AguraM NDX. GIC
excenero inrolucionis H arcus circuliP T: dico arcum
PTminorem ese recta AI, Peu Rgure erolute aze. ducatux
recta BR parallela e equalis recte AI, Cicque rectangulum
aalibitum ECLI, uc hourae ABMI inscribatur rectilincam
ABFCLI, quod si involvatur, eric eius angulus involurionis
minor ansulo involutionis recransuli ABIFinrolucishoc au
tem ica innocescie, rectilineum AB F C L. I involucum idem
es cum inuoluro rectangulo AB F F una cum inuoluto re.
etaneulo EC L. I; de rectangulum ABR Linvolurum idem
est cum priore inroluro rectangulo ABF F una cum inuo.
luco rectangulo P. FK B, sed ex praecedence angulus inrolu.
cionis rectanguli F C L. I minor est angulo involurionis re-
etansuli F F KI, _ proinde angulus inrolutionis rectilinei
ABFC.LI inuoluci minor est ansulo involutionis rectans,uli
ABKI inuoluri: eodem prorsus modo (si ducantur rectE DR.
SV, ParaIlelae recris AB, PM, _ reccK RO, VY, Parallelae exi
AI, uc compleatur rectilineUm ABGRBGSVXI) demonsra-
bicur eius onsulusinrolurionis eRle minor angulo involurio.
Md