# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0616
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0616?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 559, page id 1815201908:0616
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=616
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000616.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 80 lines, status machine
# Lines: 80 recognised, mean confidence 0.70
# 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.

et
CD
C)
n se.
CErO
TenS
Crr3.
ips
eC
e
4
c
AF
Al
Ro
1
ATY P E R BO Y
CK: aequalia isicur sune rectaneula C DHK, e ATHF: Quodtuir demon.
Atrandum.
PROPOSIFIOMXL
Eperbolam A BC incer asymptotos E D, E. F consticuram conrin-
ganc dux quavis linex D AHI, FB C qua criangula constiruane
HIED, FFC
Dicoilla esse inrer le aqualia.
Demonstratio.
SiXpunctis coneadtuum Ae B.
LduCaNTUEreCtA AR, AL, BM,
BEDaTAHLEIX A(yMPTOTIS, _ AK.
BM quidem ipsi FF, BL verc
et AL alympibro D F. crunt
ivieur LK, 2ML parallelogram.
malacer le aequatta: sed LIDF
criansulus doprum est paralle-
pulaXI eL Crt incer le xqualialune. Duoderac demonstrandum.
RO
5IF1O XL
Res minimi lune omniui diamerroritu coligatarum.
IOSFAMIMIL K. _ LG PBdupluI
ipbus MF, (quia F C, D E linee in A e B divilx sunE
e
t 1t
Emostrat.
LIHE ABC, DE F opposicx sectiones: aXCS
coniupaci sine B D, EIT: Ponatur aurem aIIL
quavis diamcrrorum coniugacio AL, L R: l
cobBIL lincasmmores ClleR.
cencrum hyperbolx lic C: Ponaturqueper  i
concsens BM, etie illa ad angulos usante
BD. Cum ordinaciim aet aCM PoG CII
delcribatur deinde comto  Mta si
circatus BND: Qua ieu Ba
ad lemaamcem BC lecta MBa circutaanone
concingit e cora exrra illum caduc: qula vero
caclem MB, hyperbolam quoquelu coe
concinsir puncto, cora criam exlla  perbolam
cadic, adeoque InFeFMam L CHcuM HC Clt. 33
erdo circulus BNDS in vnorancu panu l INVISS
lyperbolx occurrie, e lurreliquo exalectio. Crst lescesit, cacriseseei
a 4b. bonini
eut
al dxliret. 5
i crum
ireoisiters
FE)ixo st EibiXer
Aacrri fupoup
2A eM
nroos
nem CddIF. er90, A( Per b Cencltaoo
et Brverbola A BC OCCHITCHS M H, PEIS CM - BFC1S13XS ∞BB sL N 
cuto, e tangenei occurrie, quam hrperbola,
ergo AC maior est BC. adcoque AF illius cuptor ete B. Mne oileu
dam FK lineam maiorem esse FTI: quod crar demonstrandum.
inc lequicqe quaserca udque axium lnul umpra minom eAo quadraris cljul, . 
2F1B 911C
vis compraionis. ..A SD MBLB: A X, IA VZ EL SZBEEBNEIL RZOBICI3 F3FII.
us esto c1 2. 15LCB M3B 3BSBSE. S e cadeut BL Ct  EtDAIL. BWI ACL BZONICL RBGCIEL
Bbbb2
PR O.
A A 53C2B.
 tu e e t pe ete e te tet e te a ae   e se t etite t et   t qet tt e se   e  p a te tste   sta e a  pi