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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 11, page id 1815201908:0068
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 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.

POT F NFI A.
4. Situerine A B, C B lince aquales, et rario
I, 2d F inxqualicaris, de cadem cum ratione OFI
adFTL:
Dico addi non posse lineasin racione P ad F,
vecompolice dicam habeane racionem TFI ad
FTI. Racioni enim GFIadTII non pocestaddi
racio xqualicaris, quin producatur rario minor
illa, quam haber CHI ad TII. Ergonec racioni
Equalicaris pocelt addiracio (TI adFII, quin
producatur racio minorillâ, quam habecOFF ad
III. cum caedem linr que relulEant.
Iidempolicis; deins recte porerune se-
cundum rationem R ad L, verelidue obci.
neane rationem CHI ad HIlreciproce: id
CIE, VE VETIUIGHC FATIONISANECCCdeNEeS HON
Ene in caden linea: CrigANEUE enim ex CY A
et I parallele GK, IL, Equales ipsIS AB,
CD; _ CX L PEF K agaCUE linCA P RM
equalis recta C HI, ducacurque linea M FI
occurrens CH, IL rectis in N e O. Ou0-
niam igIEUE NK OI lince siBi UEuO
aequidittane, erir O L. ad N K ablaca adt ablataM DE L. M adML R, Id CALVE GFTadFTI,
id eAt vc F. ad F per hypochesim; e ve GFTadIFT, SicNC est ad  lehdua ad rel.
duam: isicur lineas abstulimus se cundum rarionem P ad F. ve relique daTam ObEInCAME
rationem reciproce GHIad TII.
5. AB, C D lince linc rurlum incer (e aequales, ec
ratio F. ad Fminor ratione OFI ad FIT:
Dicoaddinon posse lineas lecundum racionem
F 2d ti, ve compolira racionem obtincane CTI ad
FTI. Pacec: cumrario CII ad FTI ponaeur minor
racione P ad Picatiovero P ad F aucta ratione x-
qualicaris, hacminorrarione R adF.
Tildem polcis: auterriporerunelinea, in rario.
nC P ad F, ve reliqua rationem habeane
CrHIadFII reciproce: criganeur enim
ex C d I, ParallelE CR, IL, aequales
ipsIS AB, CD: dCin CX L POF R, agaCUF
lInCA LKM: FaCtAGUC P MadRM VEF.
ad F; duCacuT reCtAM FIOCCUTTONS(FR,
II. lincis in NV e O: cricisieur LO ad
NR, ablaca ad ablaCaM, VEL. MI ad MIR,
id eAt ve F adF; _ NV C ad OI, religna
ad reliquam, ve GTIadIII.
A
6. Sincicerum AB, CD linex aequales, d ratio P. ad
F, maior rarione (TIadFII;
Diconddi posse lineas, in rarione E ad P, vecompo-
Scae habeane rationem CFIadFII. Demitrantur enim
ex G _ I, parallelae GK, IL, daris AB, C D lineis xqua-
lesi e exK per L agacur parallela GFI recta RM, VE
RMTSICadLM, licuc li ad F; cum ex HI per M rect a 292-
cur YLN; occurret illa lineis IL, GKin O _N: Cum
enim racio F. ad F, id CstK M ad L MI, maiOE PONaCUEFA- C
tionc G FF ad FTI, eric a dividendo, rario R L ad L M,
maior ratione OIad TFI; adcogue LMI recta minOE
b ipsa FII. Duare et AM producta secabir lineas II,
GK in O_N: vnde N K est ad T O addica ad addicam,
vEKMad F. M, id CA P, ad F, de C, N ad FO, ToTaad 10.
cam, VcC, FL ad H I. Ouoderac prium.
Tildem