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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1108, page id 1815201908:1165
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# 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.

1108
QVADR A TVEA CtRCVEF
PR OP OS I FIO XVII.
tttidt Ctl
bque in L
ratione qua-
Claci AB adC D, can-
dem esse cum ratione
AF quadrati ad C F,
_ FD quadraca, una
cum ratione quaarati
AL ad rectangulum
CFD bis lumpea; in-
super cum ratione addica quadrari F B ad quadrata C F, F D, _ rectan-
sulum CFD bis sumpeum, simul cum carione rectanguli AF B bis
limipri ad quadrata C F, F.D, d rectangulum C F D bis.
Demonstratio.
DOnanEUEG FI, L, K aequalia cNC quadraris A F, P B, _ rectangulo AP B bis Cum-
pro. Similiter T. MINO aequalia quadraris CF, FD ex rectangulo C FD bis Cum-
pco. lsicurracio G ad L, _EM. X NV, _ O, estracio quadraci A R ad quadrata C. P, FD,
de CF Drectangulum bis sumpeum, et similicer ratio FF ad L. MI, N, O, est rario qua-
deaci F B ad quadrata CP, FD, e rectangulum C F D bis sumprum, candem eriam
rario Tvel K ad L, M. N, O est racio rectanguli A R B ad quadrAta C F. FD e rectan-
sulum CF D. sed eciam racio C ad. L, M, N, O, addica rarioni HI ad eadem L, MI, N;
Por B. tu- O, ae qualis est racioni OFI ad L. MI, N, O, a e consequencer racio C cum LI ad L. M,
NI, O, addica racioni Ivel R ad L, MI. PT, O, aequacur O TI Ivel Rad eadem L. M, NY, O5
hoc est rationicorius GK ad rocum P. O. Igitur eriam rario quadraci AP ad C F, FD
quadrata vna cum duobus rectangulis C FD, addica racioni quadeari F. B ad caldem
quancicates, limul cum additione racionis rectanguli A P B bis lumpei, ad ca Cdom, X. -
quacur racioni quadrati AB ad CD. Ouod erat demonstrandum.
P R O P OSITIO XVIII
in5.
Dico AB ductum in C D aequari AF. II C F, _ AL M FD (P
mul cum EB in CF, et E. B ducto in PD.
TTINE AB de CD, vrcunque divilX in F, d F.
Demon.