# Leibniz Legible — https://leibnizlegible.com
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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 116, page id 1047377675:0132
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=132
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000132.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.68
# 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.

2Y6
racione subdupla, nempe re quadracum AIL. ex ad Aguram
NACFN quod demonstrare oporruie.
aR OP. 64. X EI F O K B M 1
Tecircull lectore AB includens spiralem AFC calis na.
a curx, re (ducta recta quacunque AP. productaareum
secance in D) racio A C ad AF sic mulciplicaca racionis CB
ad DBinracione P ad 9. Cic angulus rectus FIK de curua FFII
calisnaturx, re(ducta recta quacunque GtIparallelarecta
IKD racio IK adCHI sic mulciplicara rarionis Ll ad L. C inra;
eione Pad O; patet ex huius r4 rectangulum F NK I AGuEK
FIK circum seriptum ese ad Aguram P IIK P VE arCUS BC ac
axem Agura spiralis A F. C erolucae, de proinde exhuius54
arcus BC CA ad AXCM AOUTK AFC eroluca ut P,L. G ad O. AE
veP Dad O itaarcus BC ad rectam FP, cui lic normalisre-
eta lK aequalis rectae AC, AIEqUe AGUTA FFTKL caliS RAEUERS VE
(ducta recta quacunque C HI Porallela recte IK) racio PR ad
CHICe mulciplicoca rationis FT ad FC in racione P ad P. :
dico hguram FHIMI eNe Spocium spirale AEC CVOIUEUM. P.X
rectae Fil quoliber puncto C sic rectae Flnormalis GFI OcCur.
TENS CUEVX FHK in H sicque rectae CtI aequalis AP producta
in D. AECuS BC CHad axem ABUrX AP C cuoluEx nempe LL
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