# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0702
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0702?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 645, page id 1815201908:0702
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=702
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000702.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine
# Lines: 91 recognised, mean confidence 0.74
# 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.

E, qua
to lare
i
etane
hoc d
ecraio
Sdiame
Quada
Et O1.
linee
equal
rectu
iXq
0, H0
qu
a
lepo
CBd
recto
ralt
abole
CDi
que
cuius
did.
Bit
DC
CnTCT
CD.
hoc
1M
FIXIPIERIB OL A.
hOCelt quadrato C F. ergo cum sc rectangulum F C A ad F C A, rectangulum ve
lacus eius cransuerlum. Ouod fuit demonstrandum.
CODOSI
F 10
CCXVIII
parabola ABC quam seceF quaedam E F: ductisque OK quX X
a quidistene diamerro BD, hacvr CHI ad OFI, ita C. HC quadrarum
a2d quadracum CH.
Dico K K esse ad candem hyperbolam cuius lacus cranluerlum BF.
10
21 5
Demonstralio.
VCaNEUE FTL que aequidiAenE BF, _ F N quae aequidistec B D. erit itaque
IETTML AI TTMT rectangulum, 2velinea BM ad BMI lincam, elt aurem lINCE parabola
BNI. RGuaS CFI: Pgicurve CA. OII ad GFI lincam, ita est rectangulum IIML.
ad HL MEL. hoDeA rectangulum NFTM ad NTTM, hoC eA F CB ad F GB H-
ctangulu. led ve GHI ad CIT lincam; ica ett ex conttrlctone qualeun 
ad CK. Quadracum; igitur ve est P C B, ad F C B rectangulum, ita est quaatacum
CrR,ad CK quadracm. Ludenea BKR en pccooa Carus Lacus transuersum
CA, BF. ex chuius. Ouda l dehonstrandum.
X dittur nimit id B R O B, O5IF1O CCALA
natim BC, Ponac GaL
Lia GuadraTA CF.
anDiCO AE P ose ad cardem hyperbolam.
e s. Sd. B MIEOMAS
Bratio.
lac rectaneulum D CF
equale quadrara C B.
sicur quoniam quadcacum
d CB quadratum,
eam obcineerarionem, qu’a
blinea AC ad RC, estque
AC ad AC, ve CD ad
CD, igIEUE CF aqualeS
Cuncincer (C, _ F F puncca
in dircccum: polta deinde
iit   
eterg
recta CC qua aequidistee il Et
1
 SE a
Et He 
1
AD, erH CF aequalesrectis DC, ac proinde rectangulum D C C, aequale quadra-
eis CD, CB: id est ex lypochesi quadracis CF. ergO vtrecta MMIM DC C ad
Ata patabOIa ABB, cuius axis AC e ad cundem consticurx ordi-
1.
re
nDen
e quadear  hatqua ud v.
141
1312312
260a 
DC Cita quadrarum CF. ad C P, quadracum. vnde ligueo c A F F CNC ad hy perbola crg2. Bu-
cuiusaris AC. ad quem ordinacim pouta lunc C. F. Duodtuir demonttrandum.
tu
RO.
dnnm
         1  t  2 e        as