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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 397, page id 1815201908:0454
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=454
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

P AR AB OL A.
Demonstratio.
iRRIGRHEUF ex C e B, diametri CR, BL. Ouoniam AC, A B proportioalicer
in L CDponuneur divila, re B A ad D A, id cA BP adDI: RCC A est ad L A,
id estR C ad CF; lcd ve BC ad DI, Sic DF cA ad a FIL, _E VE RC ad CF L, HIC 2 Pen. pan
PROPOSIFIO LXXVII.
IIdem ports, dividancur rurlum proporcionalicer lines AB, AC in
M _ O, crigancurq: diamerri MI N, OP.
DicOFF eAC ad MN, ve DHI est ad OP.
Demonstratio.
SFCHMEE CE AtCCCagulI, ad rectangulum CMA SIC FB ZAN M. S NDDEL
Crectangulum 2d rectangulum BOA, sic DII ad PO. sad BD A ad B O A,
rectangulum eAVE CP A ad CM A, rectangulum, quia C A, B A proporcionalicer
ponuncur diuila; iBicur re F P. Ed N Ht, ACD H ad PO. Duod erac demonstrandum.
eROPOSITIO LXXYIII.
IIdem pOsitIS AGANEUE per D ee F ordinarim
Lad diametrum ex A demissam linca HID I,
FFO.
DicoHI, FC lineas in D e F. proporriona.
lirer esse dinilas.
Demonstratio.
DOnancur ordinatim linex BL, C K. Ouoniam igien
AB, A C linexe in D ex F proporrionalicer Cune di
vila, DE CR ad F G, sc BL cAt ad D L. scd CR ad
BC duplicaram b haberracionem FC ad F C, et BF
ad DI duplicaram habecracionem FFL ad DF, igieuE
DE F C ad F C SC FTT ad D I. _ dividendo vE FF ad
B. C, sc HD ad DI. Ouodtuir demonttrandum.
PROPOSITIO LXXIX.
IIdem poHIS, aMuIaanturrurlum AB, C A lincE prOpOrTIOnALItEFM
LM _N, _ recta ducancur MO9, NP R aequidictaces ipsS HII, FG.
Dicore HD ad OMI, SiCFF esse ad PN.
Demonstratio.
Vmenimlinex AB, AC proporrionalicet in M, D, NB E pundis sinc divisa, erit
SO ad DI DE NTR da LOSe POIMACaNAO I  ad NR, DE DIad F C
ad HD. c LH al L L. Suodet aldemonstrandum.
Ced perpraecedentem est ve MO ad NR, AC OM ad P NT; _E VE D F ad F. G, HC
ID ad F F; IBIEuE VE OM ad PN, SC HD ad F P, e permurando vE OM