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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 422, page id 1815201908:0479
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ExCon. TVNGAnEHE BD.
ersa 14.
iius.
axem.
A RL
Demonstratio
EOPOSITIO CXL
Ouoniam BD cst equalis DC, _ FB, C D, or dinatim ponur.
cur ad axem. F. D linea, aequalis laceri recto est. Ouod erae demonstrandum.
DicOLL, G K lineas este
xqualC5.
Demonscratm.
parabolam AB C. cuius axis BD, Sccucrinc quoccunque lemicireu.
AE C, FOHI quorum linguli occurrune parabolae in quacuor
punctis; demila aurem ex P ex C, incerlectionum punctis recta fuerine
E l, CR normales ad lineas AC, FHI quae ordinacim polirae lunc ad
Veacurenim ordinarim PM.
GTI: Crit per praecedentem
cat ies iclam a L aequatiota
ccliiccto arcos iisieue e aqua
les incer (c. Duod erac demon.
AELataU.
TIO CLLI
oporcer exhibere puncta incerectionum B e C.
d
Constructio es demonstratio.
Vmatur R F linea xequalis lateri recto,
_EPeF S FECEAAGATUE F BC ordinacim
ad axem: dico cireulum AB C OCCUTEere
parabola in B d C. cum F C ordinarim
Polica sc ad axem; quadrarum illius
RQUATUE AF F reccangulo, quia F P. la.
ceri recro assumitur a qualis: led rCCTAN.
Bulo A F F in circulo AB F, 2quale quo.
que cst quadrarum F B: igicur B punceum
percinet _ ad parabolam AB C, de ad cir.
culum A B F. idem discurlus apcetur pun.
Sco ABC parabolx axis AD maior dimidio laceris recti: cenErOG:
D inceruallo D A, circulus describatur AB C, occurrens axi in Ls
CtOC. prxestirimus er so quod imperarum fuie.
PROPOSILL
Sto AB C paraboIX axis A D maior laFerO FOCEO: aCtaG; PET L OI
natim linea C DF, centro D interuiallo CD, circulus deletValut
1
BE, occurretis parabola in Gualuot Punct: opotet Illa exhiBere. Ilt
Constru.