# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0196
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0196?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 139, page id 1815201908:0196
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=196
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000196.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.78
# 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.

tume
pio
D. C
prim
de
su
0
quod
EpeOI
FCII
Ua
ACUII
TI
DEc corollarium pro-
positionis 125. huius
teries balium AB, B C,
CD cerminacur in R.
vnde AR, aBR
CK.
_EC. TuInE ContinUIX pTO-
vorcionales, ee criangula
at anus eetet
DIK.
EFOME TRIC A.
Demonstratio.
EC. In Cocinua luncana-
losi2. Ouarerori scriei
proporcionis quam -
sorriansulum ACK, crapeziorum lerloirmuerla ele aequale: uoderne denou
strandum.
Dec crapezium G B dd craperium FIC. sineltacu concinuare, crianisulum AC R
aequale est. Requi ErapCLIa (D, ZF, ac. concinuane racionem crapezii (FB, ad
crapezium ITC; (cumt enim criangula AGK, BIIK, CTK, Xc. Unc concin
proporcionalia, eorum quoque differenctae nempe dicta EFAPCZIZ CLMME CONCINUA) CF-
C73. hratinr.
ADPOSITIC
XXXIX
Scoquadratorum series FTK, bales habens in directum, ex terminum
oncudinis K: _ ex K per HI ducta recta I HI cangat per propol.
eionem Bl. Mus omma rectet guaaca, de Concultalcum AL in G; in-
venta deinde per propol. 80. huius linea A O, gux aequalis sit seriei balum
impariu AB, C D; F. F, divilag. bitariam L. C in MI, harrectangulu Q AMP.
Dicohoctriangulo AGK, aqualc esse.
Demonstratio
DRoducatur L FT in R, _ B EIM O; IINCA MN OPALAHCHCMCK CaCIS d A G,, f
aequidistaE P FI. CrBO M HO patallcta cttaa L H. SEquia C+ M X qualIS ett N(.
etiam GH aequalis etic NFI: lunc aurem ex OFI. M L. la cit M C aquales, de anou-
OFIN, MON, aquales: ergo aequaneur ctianpula MICN, NOFI: acaloque
communi LM NFL criangulum L GFI, rectaritulo TO aequale est: quare qua-
Tmilla sunc, e homol0ga lacera LHl. L l. VK. AdCOGOCMMaaPICACA LacOLaUC-C. .
deacum AFI est ad crianoulum L CH, Veidem quaaracam; ad reclandulum L O.
hioc dest velinea AI ad lineant L M. Pracerca trangula L CF FL L LLL, V LL, dr. SoXII
TUM TFP, TT, V Z, aC. 1SHAI CaI 902aCACA AEL. BL, RC. HI II COTaHACMI tal-
lum FFFI; _ quadtatum C X, ad criangulum VIZ: acque lca in intinicum. Preo
requadracum AEI ad criangulum L. O HB hoc eAt ex ance demonstraris ve AL. 2d
N.
rum duplicaca rattone; PaCec eriaBoMa auta, quaMlaco ProBOcOa CHC. MC Pel
nucando ve guadrarum A HI AA LETAHBMIAM L C FI, HIC GNAMaCAM BL ad CMaIIZU-