# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0914
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0914?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 857, page id 1815201908:0914
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=914
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000914.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.82
# 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.

DeC
Auc
quie
apen
CuB
ent
1. 11. 1
N P L A N V MI.
Dicoluperticiem L. M, ductam in sciplam extibere corpus a uae Ha-
snicudini qua balim habec CFT, planum, ee alcicudinem CI.
demonstratio
Scensum est secultula propolitione de hac maceria parabolx vireualis, rectas
AK, K C disporens ve dividancur bitariam a recta BD, producere parabolam.
LL, O0. Praecedenci quoque propolitione demonstracum cst lincas AR, R C cOI-
locacas ex punctis CC, proterre parabolas virtuales qua reducta ad veras ac For-
males exhibeant parabblas L.O, XMN, habences PD, axem, lacus vero rectum
aequale BD. Cum igitur parabola ABC _C LF, OO, lacus roctum ha-
beane aequale. BD; necessarium est re illa ip(x existane de quibus praeceden-
cibus propolicionibus mencio facta cMt. quocirca LMI, sunc aquales AFY, vel
K C, sed quadrato AII, aequale eAt FTGT, rectangulum; isitur criam quadeacum
LMI, aquatur HIO F rectansulo: quamobrem per propolicionem quadeasesima
quincam huiuslib. manifectum eAt magnieudinem que sc ex ductu superkciei L M, in
sciplam, aequari corpori super bal C FI. consticuco, de alcicudinem habenti CI, li-
neam rectam. Ouod demonstrandum fuit.
PR OPOSFTIO COXZEV.
DONANCHECAIEI GUa IN SUPETIOTE SCCMALE LUHE POLICA.
Dico balim CK, ductam in alcicudinem C. L, dare molem illi
magnicudini parem, que emerger ex ductu plani L. NV, in sciplum.
Lbidotarib
Incecenim oRen(x linex AR, aequales rectis R, LN, sed quadearum AK Xx-
Solo etH eaE. C LPEOPOciOnem qu adEBClaM qUInCAM LUIUd, Pa
quacur RCY rectansulo, isirur quoue Guaab LN, cidem LC 1, cectan.
cec huius proxolicionis vericas.
9949