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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 109, page id 834940469:0193
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=193
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000193.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.

256let; _ proinde eritineum GO L. L C( 10241c3 F. F28I54 of
6256+-
187562, 62563
236le5, de ideo recta AF cM ad curuam AF veba (Cu rect an
3T2564
Gulum ACNF ad bd F cd - 20241C3 - 1281c4 = 2561c5 (CU
1875b2 62563 312564
mixcilincum ACL C, dacur isicur recta xequalis curvae AF, quae
invenienda erae. Quomodoinveniatur luperticies Facta ex
FOEACIONE CUrVX A F. circa rectam AC. Cuidens eAt ex huius
45. Quoniam ex huius 57 Facile est invenire centrum grari-
cacismixeilinei ACTF. quod sin aequacione reductu, ex vna
parce invenea fuissee non 2 (cd 22 (quod semper accidit, I
racio FF ad C.D sicmulciplicara racionis AE ad AC in racio
ne numeri paris ad numerum proxime minorem) invener
fuisset eancum superticies genica ex roratione currae AF
circarectam AC, VEpaTCE CX hUIUS 23 _ 43.
P R O P. 59. Y E F O R E M A.
 IE paralleloorammum ABF E, AEque CuErS F CII calis
 nacurx, vi(ductarecta quacunque C Pacallela recta
A B CUrrAM FFI sCCanCE in C e rectam BF in D) racio AB
ad CC sic mulciplicata rationis B D ad BF in rarione Pad.
dicoparallelogrammum AB F F. esc ad figuram longicudi-
nC InANIEAM ITAEFCIT VE(=Pad G. producatur recta BF
In M _ dUICACUE CUEDA MKHIcalIS nacura, re (duccta recta CL
EANSEnEC Curram FC II in quolibet puncto C e ductis par
rallelisC Cg KI) recta CK lic ae qualis _ parallela recta C P.
manifestum cA ex huiuS7 rectam AC ad CI vel L C ad GK
esse re P ad , cumque hoc semper Aacs euidens est fguram
TTEBH CNC 3a AGUTAM HI FMFI uE P ad C, acque ex huius
ZF AGUTA EY FM EI CH ae qualIS AGUrA H AE PH, de idco
AgUTA EIA F FH CIE ad AOUraM EY F BH VE C adt P) 8 per
convertionem rationis, HL A  F HL Clt act PAFallelOGFAM.
mium