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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 40, page id 834940469:0124
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=124
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000124.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 19 lines, status machine
# Lines: 19 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.
# 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.

PROP, 18. ZTIEOAP M A.
TcFigura euolura ACRO, in qua sic ordinarim applicara
adlibicum OT. deinde manenee recta Ol involuatur A.
Tura ACRC in fguram involuram IBDP: dico lineam
BOD cadere incer lineam AOO e eius axem CR, item line2s
AOO, BOP, CC innicem eangere in puncto o. hheriporest,
cadae lincaO P exera lineam O ( in puncto H: suppono cur-
nam O(quopropius ad ) colonsius distare ab azc lR, _
sicur NM perpendicularis recta in rectam lO productam
cadic exera curuam ON, _ proinde recta NM (eZ aNECCC.
dence) non est minor quam axis figure lONcuolure. Sic in
cuolura ordinarim applisaca VS Egualis rectE LII; manitestis
CAAguram OVST eNCTONenoluram, acque IN seUS V CA
maior quam L.Y, X ideo SI es maior quam lL, nempe axis H.
surEION cuolure maior quam M N, quod es absurdum; de
proinde OPnon cadit exera OQ: codem modo probarur OP
non coincidere cum 0Q, cadit erso intra, quod demonttrare
OpOrruIE.
SC.