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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 28, page id 1815201908:0085
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=85
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.72
# 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.

nermm
Arandum.
LIN E A K Y M
23. Slali
2 17. Seuri. FTO, adeoque DFTF arectangula, aequalia rectangitis FF 1. Ouod Fuie demon-
aequaleS, IBIEVE DFFT, HEE C eriangulatu Smilia. VndCFFT ad FTD, VEFTF, ad
Seo AB C triangulum, ducaturgue ex C, re-
Sctaquaenis CD, secans AB lacus oppolicum
in D; dinila autem C D bitaria in P, IGAEUF PEF
E linea lH, parallela ba( AC, cui et alia queuis
FI, ducacur aequidictans, occurrens C D Lincx,
D F.
Dico LFK rectangulum, maius ese rectangu-
P R O P OSIFIO XXXVII
FFFI.
Coblstict
pATa eCL CXratiONO LB ad GF, id est DF ad DF,
_E ex racione L R de L HL, id est F C. ad FC: sed et
Ario TF K rectanguli, ad rectangulum GF FF, b com-
drapp. 1.7. Ctanoulum OFFI. est aucem D H C Teccanoulum maius recrangulod D FC (cûm
Dudderac demonstrandum..2
a ecc L01eL D. R 9 POS
Sta CtH  ACe ( 134 LFN
C Ibid.
iisdem quoqueccomposica est ratio rectanguli D F. C, ad rectangulum D F C. Igitur
Prop.13.
VE DE C rectangulum, ad rectanoulum DFC, SC TFK rectangulum, est ad re.
DC in P, divila sic biFariam) isicur d EP. K recrangulum maius est rectansulo (r P. LI.
10c1 2i1
XXXVIII
e tatttela l
eucet le parallelae, rectis
I.c 119. H1, t.
les
t A 1513. 1
i 17. EC B. S. F1
ers. Seunt.
1∞ 11
139H0 Bi ctA et
resest nriosit
13
12399L∞B 2I AV E BL LC, LL. Quad BMMCS (CCCE
it 1t.
ceb ap linea F AD. s
d sibC sectangulum, ad
ar cccatsuu ABC, Cal Hade
rationem, quam HabeE DB F rC-
ctargulum, ad rectangulum DBF.
sdia
Domonstratio. qu
a A ol su
D Atio recranguli AB C, ad rectangulum ABC, c componitur ex rationC AB
ad AB, id est DB ad DB, et exratione BC ad B. C, id eAt BF ad BF, sec
ex ildem compolica e racio recranguli DB F, ad recrangulum B L, IOICuEPC
CTaHISMIA, ABC, au se DC rectangulum, ehm habecrationem, quam DB L rC.
Ccansulum, ad rectangulum DB P. OuodFuir demonttrandum.
3il21. 2115, 339Z LBHHDS, C
LLOIOOEELC aLaLE
Sco ABC Matc balIS A C, bitasiam diula m. D, e recta, aucta
(1)3D15 3EIL: T. CF A 53 ho a  sictuait
srei isiocrc 13315 C
et lDico
Neguiuu ui ur   u iu u i e i  p  e   i e t p  t  i p u  .  pu    u  eat p o pmpu