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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 16, page id 1815201908:0073
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=73
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000073.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

  m puapem p an 112
3
L IN F A R V M
rectX F D KB, _ Aheri pONIE, SIE AR ad CF vE OHI
ad FTT, Hacque VE A B ad CD, SIC AK ad CNI, erie
CM minor ipsa CE, quiaracio AB ad CD, id est
AK ad CM, maior est ratione GFTadFTI, id cA A K
ad C L, CUM IGIEUFSIEvE AB ad CD, SIC A R ad CNI,
exit _ KB ad NID, reLduu ad FCLIdDUI, VE AK
ad CM; adeoque KB maior ipsa DID, e mulcoma:
ior recta F. D. Ouod est contrahrpochesn: quare de-
eractio reciprocanon continget. Sed neque ordinara de-
tractio, calu hoc COnFINSCF.
Decrahantur enim in ratione P, ad F, linex RB
FD; e A AerI DOMIE, (IC A K ad CF, VE OFT ad FII.
cumigiturratio AB ad C D, maIOE PONAEUE FaTIONC F
adF, 1d est KB ad = Ed  eric _ rarIO AR ad CL,
maiorratione AB ad CD; adCOGUE MULEO MAIOEEa-
cione OHI ad FIT, id est AR ad CL. Ouod cA CON-
era hypochelim. Pgicur neque ordinaca detractio Aeri po.
test.
Tisdem positis, neque addicio ordinata continget.
Addantur enim in ratione F ad F, linex BL, DNI.
_E SI ACrI POSIE, SE AL ad CM, ve GFF ad FTT.
Duoniam igiturratio AL ad C NI, id cA C TI ad
FTE, MINOT POnieUT PaCIONC P ad F, id cA BI
ad DMT, Crit BraCIO A B ad C D, mInOE PAEIO-
nCAL ad CM, id est G FT ad FTI. Ouod est
contra tirpochelim; quare nec ordinata addicio
Contingct.
tildem posicis additio reciproca heri porerie:
AaE enIM vE E ad F, AICK F ad M L, eE MDT ad
RN, crectisque ex M _ R parallelis RO, MP, qua
rectis AB, CD sinc aequales, iungaNEuE OP, e Aac
OOad PO, item PR ad OR, vE GHI ad FTI, oc
curracque PR linea, rectX MIN in S; pacec ex Expe di-
Etis, 5O lineam minorem esse rectâ OR, _ SI mi-
nOxem ipCa RN; quia racio A B ad CD, id cH NP ad
OK, id eAt PS ad OS, maior est ratione C FI ad FIL,
id est PR ad OR: iEeM NIS ad RS, maior ratione
MN ad RN, id es F ad F. Ouare iuncta R L sCCA.
bic rectas, OR PM, in F _ V. Vnde R L est ad
MV, addica ad addicam, vE RL ad M L, id csF adF
_E P V ad OT, COMPOSIEA AdL COMPOTIEAI, VE PR ad
OR, id est per constructionem C IL 2d TII.
Addiicerum pocerune linex inratione E ad F, VEO R
minorveriu sque racionis ancecedentes habeat: ducaeur
enim in eadem AgUFA, ex O per E recta; occurret illa
lineis PV OT in Z, _ X; quiaratio OO ad PO id
IL GFT ad FII, MINOE PONIEVEPaEIONC RP ad LM, id est R ad F; nam B L2
lireanon concurrerercum PV, OF lineis, sed illis aequidistarec, csecratio RL ad
ML, eadem cumratione OO ad P. . Duod CA CONETZ HYPOTHeSIM: OCCUTFCE
isitur LO linca, rectis PV, O T in Z eFX. Vnde R Z eA ad MZ, addica
ad addiTaMI, VE KL. ad M E, id eA F ad F. e OX ad PL, vt OO ad PO. id
eA GTT ad TII.
13 Sinc AB CD linex inxquales; eatio rero GH ad FIF, minorratione F. ad
F; quae maior sic ratione AB ad CD. feri non porerit addicio reciproca. ad.
dancur enim DK, BL in rationC F ad F, _ Si tieri pOHE, sIE AF 2d, CK vt
CH ad HI. dein hac vE AB ad CD, ita B L a D N: eric DN linea minor
recta
o si   i i ui       t n          m     mma