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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 308, page id 1815201908:0365
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=365
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

  e 1 . 1. 1. 11
Sico rectangulum (uper AF, C. C3 line rquari rectarisulo super
30d
BHIO.
32. hmined.
BCd d.
2L. Bliitas
C6. fon 11.
Demonstratio.
DRoducatur FC linca do.
nec cum axc conveniae in
T. Duoniam DEI, D A, DI
linex a Tunc in continua rario-
ne, cxic ve L D ad AD, hoc
CA ad D C AC F. A ad AFI,
e inuertendo componendo
VECL ad DL, SiC FTI. 2d
AT, CCd cA VE CL ad DL;
sc C E ad DH _ ve FF ad A L, ScHIB a0 A F, ioieur ve C C ad DL, sIC FB
Corollarium.
ad F A: adeoque rectansulum lupet AL, Cadleis xquale rectansulo BH, ID.
Ouod erat demonstrandum.
quadraro F. Diisicur e AF, C CCcasua el ae quale quadraro L: D hoc est quar.
TInc sequitur rectangutum AF, C C vel HB, ID, aequale este quarre parti hou
te parci hoaa.
ex: dueacur enim BK parallela axi AC. erie rectangulum DR, DI aequale
ROI
Clipsim AB C cuius axis AC, conrinsanc in A d C, de alio quouis
TIF
SITIO CXXIII.
puncto B, linca AD, CF, DF: _ DF quidem conveniat cum AD.
ngulOSDCF, DHFessereab e s sinc recti dico D F, lineam
e
Demonstratio.
R Ectangulum DA CF B cR aequale
quarre parti Rgure, hoc cAt re.
ctangulo AC C. Ergo ve AC ad AD,
AC F C ad CC, lune aucem inguli
DAC, FC CrectisigituED AC, FCO
criansula clmilia: _ angulus ADO
aequalis angulo CCF, est aurem an-
gulus AD C, rna cum angulo AOD
aequalis vni recto, cum D A E noulus
incriangulo A D C Sicrectus: isitur e angulus CGF, una cum angulo A C D vni
recto lunexquales. ergo reliquus DC F est rectus. Codemmodo octendicur angu.
lus DHIF rectus. Ouod erat demonstrandum.
P ROPOSITIO CZXIV.
Cliplim ABC curus aatoA C continsaCM 1B C, 0, Paneica
A D, CL, DL: _ DF. Quidem occurrat rectis AD: C L. in D _F:
trancaurem quarcae parci sisure, ae qualia rectans ula AFC, AC. C, sece
curque E. D bilariam in H:
CF lincis in D _ F. diuidatur aucentnca AC in C _ HI, vE AO C,
GF, DI
ransercelipsin.
AFIC rectangula Cinc aequalia quarex parci figure. ducanturq lincsD6.
DicO
uttiti  et ee i a e     qei e  1  , e i s i i e u  i a   i i .  i t t    . pe  1  1  1  ueit  ete u   d