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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 15, page id 1815201908:0072
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=72
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000072.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.86
# 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.

LLLLLal
ad NO; id est B adF; e XI. 2d ZIC, reliqua ad reliquam, ve L R ad R R, id eAt
G FI ad FTI.
ET. Sincicerum AB CD linex inaquales, e ratio C FL ad TTFminOF raTONC AB
ad CD; ratio aurem P. ad Pminor racione CFI ad TTI:
Dico cam ordinacim quam reciproce addi posse lincas, inracione P ad F, ve com
policae racionem habeane CFT ad TII. AaCCNIM VE F 2d F SIC I MI adK N, _E K I
adIN: crectilque ex K de P. ParallelisR O, I. P, qua rectis AB CD, lint xquales;
iungancur pancta P O, Rarquere CFIadFII, siC P R ad O R; OCCUETAEAUTeI PO
recta ips LM in O, Cric O R MaIOF
rectaOO, e I O minoripla LMI: vE
octendam: quare ducta ex M per R
linCA MIRS OCCUITTCE OR, PL lincis
in S ex T: iunetaque RN, caldem lc-
Cabic in V ex X. Quoniamergo racio
FNIad RMI; id est per constructioné
racio P ad F minor estracione L. O ad
KO, id est L P ad OK, id est AB
ad CD, Criediuidendo, a quoque ra-
Eio P K ad KM, minor raciONC L. K
ad K O, adteoque LM linca, b maior
recta LK: eodem modo ostendieur
OR recta maior rectâ 0O Vnde
L Tad K 5, Ordinatim addica ad addicam est vE L. MI 2A RM, id est P ad T; X F P
estad SO, compolira ad compolicam, Ve PR ad OR, id cHt C LL dd LI L. ISHE OI.
dinacim lincas adiccius, Xc.
Reciproce rero posse rectas adiici; in ratione R ad Ld0. MC ossendo. VH est ad
T X ad dica ad adcticam; ve K N ad L N, id est per constructionem ve D yd F; de X P
est ad OV eota ad roram, uc P B adt OR; id est C HL ad HILi isITUF; _C.
lildem potiris: Dico detractionem caim
ordinacam, quam reciprocam ticrinon pol-
sc. Derrahantur enim ordinacim linex RB
T. D, inracione F ad F: e Cheripolic, sic
AK ad LC, vE CFI ad HII: Ouoniam
igicur racio AB ad CD maide ponicur ra-
cione F ad F, id eA KB adLD, erie quo.
queracio AR ad C F relidui ad reliduum,
cmaiorratione AB ad CD, quod eAcon.
xrahrpochelim; cum racio AR ad CP id
CA CHI ad HIL, minor ponatur ratione AB
ad CD. quare ordinata decraetio non COn
EINGCC.
Dercciproca derractione sic consta-
bic. Decrahantur reciproce LD AB,
inratione P, ad F: & lteri pollic, sc
AKadCL, vE GFI 2d FII; tiac deinde
VEAB adCD, sC AK ad CM, exir
recta CM minor quam CL, quia racio
AE ad CD, id est AR ad CM, ma.
ior Donicur ratione C FI nd TII, id
CA AK ad C. L. isitur cum (IC VE AB
ad CD, SC AK 2d C M, ablaca ad ablacam, erir R B ad M D; d reliqua ad re. dig. 9uit
ligua, ve AK ad CM: _ RB linca, maior linca ND: adeoque mulco maior .
recta L D. Ouod est concrahrpochelim: quare decractio reciproca non continget.
12. Sinc AB. CD linex inxquales, et ratio P ad L minorratione AB ad CD,
maior veroratione CHT 2d FTY;
Diconeque Sacim, nec esproce Mmeas pose derrahi, in ratione P ad L; ve
religuae obtincanc rationem C HI ad HI. deatur enim reciproce in rarione Lad F,
CCC2
b. 0 Qim
c93. 8uit