# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0061
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0061?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 4, page id 1815201908:0061
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=61
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000061.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.80
# 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.

b31. Lt.
IN F A R V M
P R OPOSIFIO VI.
Inea AB. secta in C. d . lretant eurm de extremam racio
nemplopertionuter Haleculus luper AD. diamerro, cuius cen-
cum F, etacucent et e. adet AB. ex puncto B.
Dicorectas omnes per C. ductas quae circulo in R. _ L. OCCUTruNE ex
FB. normali in aliquo puncto C.. diuilas esse lecundum medium de extre-
mamrarionem proportionalem.
2 3. Ferrii.
C34. Ferris
Demonsraba.
EX F. centro Circuli AF D.
Lducatur recta F FT, normalis ad
rectam R CF; CLHC ICAGHC A L. VI
Fariam a dinila in II; et quia rectus
esreerque angulorum ad FT, e B
Circulus diametro (+F descriptus,
Percurret puncta HI, b e B: RC.
etangulum icacu   caqua
LCctCC Elrectansulo; elequo-
rium praccais ploponcios;
huic aurem aequale eA d rectangu-
que rectansulum BC F; rectan.
suto ACI aquales per Corolla-
d Ebid.
lum RC L, Igitur rectansulo CCFBrectansaL, aequale criciadde ergo veriqi
rectanoulo quod ex C FI. Ac quadratu, erie denuo rectangulum R C L, una cum qua
se clt TTL quadrato: reque CFT alt 1LL, sea CM LLL ad TIG. quo HC, ve
E5. Huius. Cun lIC IIE aequalis FIK. Ipla VI.  C. _ L, lecta sc secundum rarionem
drato CFI, aequale rectanoulo CCTI, vna cum quadraco CFI; sed rectanoulo
RCL, vna cum quadrato C TIostensum cAt aquari rectangulum CrMIC, Euc CC TI
C S. Secun vn a cum quadrato C FY id est quadracum cFT L. Leaque rectangulum GFTC, aequa-
excremam e media  et PalCdCACCM PEOPOATIOneM. Cuod LuIE
DR OPOSTFIO
VIY
Seo ABC trianguli b2-
SS AC dinisa bitariam
l D; actaque per Da
BL Pacateta ba(1LLC3 ac u
Cut Det 1 lllleastaculasae
LL. cElello lilaiteat Lute
latetiolto, al+6. 1.
Dico EL lincat iL de
C Punellsextrema a Mcaia
E F ad FD, sc L. C ad OD.
racione proportionali esse divilam: id est eReve
Demonpratio.
demonctrandum.
d CD. Suoderat demontctaldum.
Voniat EB, X A C lineae aequidistANnE, CFIEVEF B
dDC, id cst ad AD, SIC E F ad DF; Sed estv
FB 2aBHCL Cd CB BIE VLL L ad LB, HCL C
1
Eu i  a oi t  t  ptitu  i  i   t      su ue  s pit  e  p  e                       gu n  v