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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 515, page id 1815201908:0572
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine
# Lines: 62 recognised, mean confidence 0.81
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dil.
1
Ere
elle
B2.
dia.
n.
Iu2.
2m,
in.
E
rum
CM
A R
prorcoic
DCCXLV
Adempolicâ Rgura: propo.
licum lic daex parabolae pa-
rallelam siuc alympeoricam de-
Scribere.
Constructio es demonstratio.
IE AB C parabola data: ponacur in
illa diamecer BF. ad quam ordina-
cim appliCeEUE AF C. Policilque AC
parallelis, FIR: Sccentur HIR in D d
E, DE taM ITDR quam HIFK, rC-
ctansula aequalia sInE quadraTO AP:
constar ex ance demonstraris, DP. F.
puncta ese ad parabolam parallelam parabolx ABC. Alimus igirur quod fuic po-
Autacum.
P R OPOSTTIO CCBREMI.
Scumpeâ Rgurâ propositionis 3 43. Sinc ABC, DL C Patabole paral-
llelae seualymprorice, e guauis ponancur xequidictances L. C, D H.
Dico rectansula C F. A, inTex
se, vei _ C D A rectangulis X-
quari.
Demonstratio.
GRiganEUE ex D _ F, diametri DB,
F B; quaniam ixicur parallelae sune
diameeri ABC, DGF, aequales (UnE
diametri BF, DB rci ex iplo orru con-
Aar; sed quam racionem diameeri D B,
BP Ccruane, candem quoque conci-
nencrectangula CF A, C. D A; aequa.
lia igitur sunc receangula C R A inCCF
(c, rei de reccangulis CD A.
Corollarium.
id diccislegnitur rectas C L, D A esseinter le aequales. demonltratio pacer, cum
CF A, C D A rectangula ae qualia SInE.
LLOPOSITIO, CCCXEMI
Arallelarum parab Oratum diamCErI OMNES COMIHUESAANE.
emonstrario.
exi communisisitur elt L CMlamecer verique parabolae.
Slumacur sBBFA propolitionis 3aq. sinE ABC, DEF parabole parallelX, et
ex ordinatim HK, occurrences parabola D F F in D et F. dico FD lincas I
Bifarialm diuidi: cum enim FIK per construccionem ordina porraeul da BCi
Laquaenisponarur diamerer B CPlada ABC; u auem dd illam applica-
NIRIBCEFHIM, RCCEK FTR IM O OHITCCCA THMC: TANC AMECMI egnaIES OCTCNIA, ELD, LL R; 2Per CorO
relidux igitur D G, C F quoque aquales sunc, adeoque ad B C ordinacim applic2. 346. buius
1
R
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