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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 113, page id 834940469:0197
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=197
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000197.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.82
# 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.

U
a
e13
alcicudine BF cA ad inferiorem eruncum cxlindrici supee
ATAEEIIrEZC P ad C. quod demonltrare oportuiE.
Fxhis ec huius 29, 37, non ditheile ek collisere centrum
aequilibrii EOura TIAEFM ica assigneri in recta AIB nempe
AB esC ad distanciam ceneri equilibrii a puncto AVE2O qP
ad P; icem ciusdem Agura cenerum aequilibrii ita diuide.
rC rectam AF uc pars versus A lic ad parcem verlus F in rR,
xionc P add.
P RO P. 62. Y EI F O X F M A.
 IEquadrans circuli K D O HI _ recta DA parallelaradio
DEIK. Scque curra DEFIcalis nacura, re (ductarecta qua-
cunque rl parallela de aequali rectx DK curram circularem
EI Ha, OI sit y, Et Si V et sit a :V = (3 (a: Y), id eB = Giaa a
AI X eF vel BE ad X ut -db ad ex do = 3yy dy: ge. HC- vydy axd
ML ) LOX) ex seu ML sentou ad du rErgo
seu et ad ML ut 3V ad y.
posito v=ya
ME CL ad ML ut du ad dy- 2
C
Ef = 3. M L V ey= BC. Quodsi ergs
sut asserit autor pay sequenti) est
BE= 3E0, fiet EO= MLV: y. sed
C0 = y-B, et fiet et ML
9y (yy:V) -y, seu ML
pu = gy.v MK seu
KF, KL, KM forent
in continua proportione
Geometrica. jentatur
CD erit MK: KO. OK: KL
seu MK= aa: y. Ergo erit
yy.e e aaio, se
73= aa aao. quod
est verum sed res
succedit solum in hoc casus, nempe
repentur  BC= (9C=2 .-3)Le
unde in solo casu quo e= 3 fit . BE = y V = ec. male
seconre in O ec curram DEH in F) rario CT_ ad LI serripli
corgrarionis Cis ad OI. dico quadranrem circuli RVOII ete
ad souram ADEMIvE4 ad 3, hoc elt, curram DFHI diuidere
Quadrance circula in rasione 3 ad s. ducatur curra HIBD calis
AR.
igitur autor
pamina seq.
digno C rem
generalem
autat
rempe quod
probavit in uino
casu, credidit suecedere
in omnibers.
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