# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0063
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0063?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 6, page id 1815201908:0063
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=63
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000063.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.
# 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.

 1 p m 1
L IN F A R V M
hocCA DC ad GTF, HOC CH CF ad F G, iBiTUIEVE CF ad F G, siC CF ad FC.
eR O P OSITIO X.
FMIEEANEIF Ex A puncto; LInCX EreS AB, AC, AD, qux angulon
ConsticuanE B AC, C A D rectis minores. Ponatur autem quauis
E. D. Oecurrens ductis ex A. lineis, e dinila in B. X C. exrrema e me
Dico omnes lineas ex L ductas, occurrentes rectis AB, AC, AD, ab
dem media e exeremaratione proporrionali diuidi.
Demonstratio.
)VcatuT ex E, quaenis linea P F, occurrensli-
NCX AD in V, reaX AC in C, _ AH
linexe in FT deinper C, agacur linea TK; pa-
Fallela rectae BD. Ononiam BD; TK lincx x
quidistane; erie ve DC ad CB, SIC KG ad
ErT, Sed per txpocheum elt; DC 2d CB; ve
DF ad EB, IGITUECFIE VE DF ad FB, SICRC,
ad CF, ex perinurarido vi DF, ad RG+, SCF B
2d TC. esF aurem ve DF ad. RG, SiC F F ad
FC, _ vE F B ad IC, sC F FI ad FIC, igieuE
ve F F ad F Ci, AC F FT ad FTG, SE permUEan-
dove EF ad F IT, SC F C ad G TI. Ouod craE
demonstrandum.
P R OB OSITIO XI.
Seo ABC crianguli basIS AC, cui
speF B, verticem agatur aequidictans
BE; ODOFECEEK A RCCFAI dUCCTC A L, VE AF ad
EC. datam habeat rationem maioris inxqua-
licaris II ad I.
Constructio Co demonstratio.
Tuisa AC Bifariam in D, RaE, vE FY ad Y sIC AD
ad DR, iunctisque punctis BD, CriSAtUF CX H
allela ipE BD, OCCUTtENS BC LatEFI in G, THM CX A PeF C, 282-
cur linea A F, secans BD lineam IH L, et rectam F B in F; dico tactum este
quod pecitur. Ouoniam FD GR HIHCX TunE parAIleIX EFIEVE AD ad DR, SC AF
ad FC, sed AD eA ad DK ve HI dd I per constructionem igieuE, VE FI ad I sic
diFEuinS. AF ad F C= CsTAUEEM DE ~ AF A FC+ siC A F ad F G, isiEUFVE FF ad I AC AF
ad FC. Duximus  ex A Aneam, Xc. Ouoderac taciendum.
PR OFOSIIIO AII
de  lusea Meede amila iu D
Doporret illi rectam quandam C. F. adii-
CeTE, VE AE COca, in D e C, dinita (iCmE-
aia e excremaratione proporcionali.
l’on-
Ouod erac demonsteanduim.
dia rarione proporcionali.
ruie
pui i s e u 1 . . u  i . e t   A   u  u u s higu . p   tem u ue  nm onur mmu mm