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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 199, page id 1815201908:0256
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=256
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.85
# 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.

u
I
ne
jiu
99
R CV I OR V
PARS TFRTTA
De murua circulorum intersectione eS contactu.
eROPOSITIO LV
Ecta AB, concingat circulos
LBDC, Celeineodem B puncto
CONTInGENLES, CCnErOGue A, quo-
nisinceruallo circulus delcribatur, oc-
curresperimerris circulori sese contin-
encium in D, ponanturq rectx ADF.
Dico D F rectas inter le aequales esse,
tiuc ad eundem esse circulum.
Demonstratio.
Vmenim AB sc concingens rectangu.
IaD AF, aequalia crunc quadraco AB, 2.
deoque _ incer lesisitur linex D A, D B, DF,
in concinua sune analogiai lunc aurem D A
primx incer Ce xquales ex AB media com-
manis, isicur etiam primarum ex corriarum
difterentix DF, aequalesorunt. Quod tuie
demonstrandum.
PROPOS1 F
Vper AB radio quadrantis circularis ABC, culus descripeus, se
DAE B; ductisque rectis AF. D, occurrentibus circulo in L L, pec L. L.
POnantur D F normales ad radium AB.
Dicoreeris AF, aequales esse AF.
Demonstratio.
Lo L. I. D eIHIm E
VneancuF BE: edm AD aqua-
les sine AB, dc anguli AF B,
AFD recti; Iinc aurem e anguli
F AF communes; crune BF A
eriangula aequalia ec similia crian-
gulis AF D: vnde reliqua AF, A F
lacera aequalibus angulis subrenta
luneaequalia.
1ot. 1
Duod