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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 514, page id 1815201908:0571
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14
lode.
ral. 1d
LLeius 2a
asimptotosconstituta, simbolisationem.
lanc
ea eslus et
PROPOSITIORLCOOXEIIFNIILL 1AI
5.
TIE ABC. parabola axis
DFC _ ordinatim ad illu
applicata FIGI: ductis-
queII, parallelis C A, qua-
drato HIO aequalia AanEre.
ctangula CE A, C DA.
Dico F, C, D puncta esse
adparabolam aqualem pa-
rabola ABC
Demonstratio.
i RiBANEUF ex D _ F, diz.
mecriE B, DB. quoniam 2
quidiAac HII, C A. QIICqua-
aqualia sunc rect ABbIZCF A, sinc CD A, diame.
ales lune: quare d puncta E, C, D ad parabolam,
Miram exhibet parabolarum parallelarum, cum hyperbola inter
dracoid est LOt rectangule
PR OPOSETIO BBCALIN
Adem polira sine guxe prius.  . II
Ex47. eria quoque F C, BF, BD a
135. tu- _qualem parabolx ABC.
uicem accedere, hulguamcate occultere.
Dico parabolas illas in intinicum productas magis semper ad in-
Per desin.
1014. tia-
Demonstratio:
Vin enim per praecedencem X.
squales AnC patabolX ABC.
DF. F lteta rectacquoqueillarum
xequalia sune, quarenusquam, d’in in-
tinicum productae concurrene: quod
veromagis semper ad invicem de
cedanche oRtendo. ponantur ad BC
diamerrum in parabola AB C, Ordi-
mocior sic a verrice B, quam TTR. a
naciI LTR, L. NI; d P N quidemre.
qualia igitur sunc rect angula FDR.
LMN exhypochesi. quare FTD est
ad L ML, VEMN ad D R; sed MN
maior cltDR. Guia LH, Maioreu
FTK (repore remotior à Verrice B,) rectaigitur HD quoquemaior ct L. M.
Similicer Iremorior quems a verrice , Palaera aaC, OICHCCITLMMa
iorem elle guauislibl aguautance intra le pouca; magis ipitur lemper ad invicem
accoduneparabola AB C: D E. P: alymprocie ixicur lunc par aboIX ABC, DFF.
R C
 e e teni   s  t   tet  .  1   A a . 1t 11  .   t A e    A    A  .  1    u    t 1 t 1 . . t.   . 1  . 1