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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 202, page id 1815201908:0259
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.83
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IR C V L V S
oiB, d vd, db du. BBe L A LI
2C02
il cic  c. l03717
Lguli ABC centroque D circu apet Bali descripei, circulus describa.
Dico quod d alceru LC. concinser in B, P11I
PToIHc BI
3S BBISBB Cd 111BS  icl Demonstratio.
131
DETCEITA CIrCUIOTUM ACB, BL C;
rECtR PONANEUE Cx D, DG, DL:
e DC quidem producta occurret.
perimetio circuli ABB in puncto
concactis F; DF vero in aliquo
puncto FCirculi BP C, iung aneur.
que DF) Fi P, cumisieur DL, DO
cranseant per cenera circulorum
AGB, BT C, crunELB, GB duda
2m direetum: quia verO LMF dia.
mecer es circuli BPC, crie angulus
T BF adeoque de OBF reCtuS, ac
percinget in F. Rurtum cum LD, D C linex sinexquales, erune de
(ynFD F, D Fi X punctum F perimetro circuli RP F communes _ cum ND, li.
SMC Eis CHL GB B C. PA dedum. Ad.
t0nC). 9. 4
c
eR OPOSTFIOIZ
Vper crianguli laceribus conructa sine segmenca limilia AF. B,
FC, BL. C. _ ab incerleclionum punctis D, F, ad puncta A
aputur  circulo KHI aequalis F.C, _ paral.
lela rectae D A: describatur deindo circulus LK C H aequalis circulo
BL. CO, d transiens per puncta IE, FI.
Dico hunc tangere circulum ADI.
13. hrainn
Terum similia sermenta constructa sine super sinoulis laceribus crian.
CuTKFB qui circulum NOB concingat incerits in L.
anguli quoque BT. D, BCD aequales; sunt aurem anguli ad B osteni recti, reli-
quusigitur BF D aequalis reliquo est L FB, id cA P FD: vnde _ xequales linex
B13.serig. nC2 Per F ducta, CeHETA COMIUIBAED _ M, patet circulum R P P b in L concin.
C 10. huius.
Demonstratio.
S,NI L. PerCenErA S, N ducatur
recta QSINP C, OCCUrrenS
F, N Ponacut Tecla LRLH
Decurrens circulo BL C in O.
N, S, normalis c est ad AD, ac
proinde ec ad FTK iph AD p2
rallelam. Cenerum ioirur circuli
telum circulorum AF B.
DFC; BLC CCnETA Cine
Cductis lineis D A, FC
circulo AF B in T, _ circulo
KGHI in C. DEL CCMCa Vero
Ononiam OC iunsit centra
RC TTest quoque inlinca OG. consideretur iam punctum Lguarenus est inverle-
dpareser ctio circuli AEB acrectx OC. Ouoniam NIL, eA aequalis NP, _ RL d aequalis
N. erso OL equalis est I Ci, qua nempe polica est incer punctum C, e punctut
element. PC7. CtIC +V L a_aIo N CT. FIEVEEOSPCL ACIHOMETAEa 63 huius, etiam ON equalis
e t  erst  A   eu t   e e s   e e te 1  e e      e e  it t et 2 1  te et qee    a  e  tu     e t   1e  e te  e   1 1 1 .1