# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0106
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0106?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 49, page id 1815201908:0106
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=106
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000106.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 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.

2F
Pi
P O F 21 LLLL.
Constructio e demonstracio.
lacerum aegresato, xqualis po-
nacur AB; Qua bitariam diuisa it
ac DF xqualis balcriangulis bitariam
dinila in C, _ alticudini aequalis pona-
CuF F; ex laceribus AC, CBS D F, haE
criansulum DHIB; nam AC, C B Simul
TUI PEX maioreS LUNE DR. exic igITUE
DFTF TIO(celeS: deindo AAEVE FI C qua-
dracum, ad quadearum F, sIC A. CB rC-
ctangulum, 2d rectangulum AKB, &
CrigaEuE R C aequalis ips F, parallela
FTC, inngancurque DG, GF. Dico D CL cangulum ese quaesicum.
Demonstrationem huius invenies libro de cllipl. LLOPOl. lLI.
PROPOSITIO LMAXIII
Acam AB sectam in C, diuidere in D, re quadracum AD, aqua-
lc sic CDB. rectangulo.
Constructio es demonstratio.
Tuisa CB in E BIFAFIAM, PONAEIT EX P NOr-
malis P C aequalis ipsi A B; iunctisque AC,
describatUE per C, B. C puncta circulus C BC,
Occurrens P C linex in P: diuisaque LiC bita-
riam in T, agacur per I recta IFI parallela ip(
CB, Occurrens AC linex in II puncto; ex quo
normalis erigatur TID, occurrens CB linea in
D. Dico Factum esse quod pecicur: cum enim
TTT parallela siE ipE AF, Ponancurque AL,
P. C linex xequales, crune e TII, LC quoque
inter se aequales, e FI communis interfectio lincalum FTT, FTC cum circulo. Vn.
de e FTD eundem concingir in HI: estque CD B a reclatis um aequale quadraxo 235. Luiy.
HTD, id est AD. Diuisimusigitur AB lineam, _c. Duod crartaciendum.
PROPOSITIO LXAAIV.
acam rectam AB sectam in C, denuo parciri in b, ve quadracum
AD, ad rectangulum BDC, datam obcincacracionem.
Constructio ex demonstratio.
ACA STraTIO F, 2d F, XE
hac rectanontu aliquod
OTK, quod ad rectanou-
lum L IMT rationem can-
dem curacione F, ad F CoOn-
TIneaE; hOC FaCEO PONAEUE
quaedam IS, orchogonalis
ad GTM _ invenca IN me-
dia INCCFK V, I Ci diuidatue
KObitariam in O, ex criga-
cur OF parallela (S, donec
CONCUEFAE CUI YS, qu2
aequidistet GNI, in T: d
IUngaTUE TN, qux S I
producta occurrat in P.
Deinde invenei media YO inter L. I, e TM, ducatur recta PO, OCCUT-
FCnS