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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 324, page id 1815201908:0381
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=381
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.84
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 L. F 1+ 810
eROPO5111O CLI
rectansulis aequalia quadrata 6 l.
Dco puncta I, I, Feneactemp.
324
Dla AD, BC; iunsancur icem puncta AC: cum rects duCANEUT FO
parallelae lineis AD, BC, Occurrentes AB linex in FIHI, AanCQ HCIF,
an 13. ha-
b Ibid.
Ecene se in F dux quaeuislinex AB, C D quas coiunsant due patalle
Demonstratio.
Acio HOF recranguli ad recrangulum FOF
est compoa ex rarione HIG ad FIC, id est
ACad AC, e exracione FC ad FC, id est 6C
ad CC: sed exiisdom est compolica rario reCFaN-
gulis A GC ad A CC. igicuT VE FTCF rectangu.
um est ad reccansulum HICF hoc est quadracum
ad quadracum LO, sic AC C recrangulum est
adreccangulum AC C: quare I, I punsca= lunead
ellipum. Ouoderat demonstrandum.
Corollarium.
cacus ex F. puncco incerlectionis raTA LK
Daralleta linCA AD: SI AR, F R, K C fuerine
continux, de L. R linca normalis ad reccam AC.
dico T,I, punteca esse ad circulum, cum enim sIc ve
AK C recransulum ad A C C reccangulum. SIC
F R quadratum ad quadrarum PG: (id enim eo-
dem discurluprobabimus, quo receangula AC K
octendimus cReadreccangula A CrK ve quadrata
CI, ad quadrata C I.) ersepermurando De AK C reccangulum ad quadracum F. K
Cla C C. ixice,    LI. ∞ A17.
EIC AC C reccansulum ad quadrarum C, P. ad eoque quadracum LC aequale re
PROPOSITIOCLI.
E AB C semicirculi diamerer A C, didila vicunque in D D, d ex L
normales erigantur DF, hanrque ve BD ad BD, sICF. D ad F. D
Demonstao
T quadratu DB al Gua
Dicopuncta E, F. escad eandem ellipsim.
acacutm LhrcMeite qua
racum es ad quadracum ED.
n. sed ve quadracum BId. ad. qua.
op Aracum BD SIC AD C reccan
sulum est ad reccangulu ADC:
isitur ve quadracum R D ad qua
dracura F. D (IC A D C rectangU
lum elt ad reccangulum ADC.
Duareb I, F puncca lunc ad et
lipum. Duod cras demonstran.
P KO
dut.
u   t  uute u e e  e u e pe e ute 1e 1e  1e   e   s   u u    t e e e e sta . e u e   t  e e te tu t te e  t  p te p et t   e e e e e ste to 1