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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 446, page id 1815201908:0503
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34. haius.
P AR A BOT A.
Demonstratio.
D Ecta AF aequalis est AB: sed AF, 2 AB, DF
PEODOrTIONALESTUNE, IBIEUE _ AF, A F, DF Can
dem continuane racionem. Ouod erac demonstran.
dum.
(BS
P R O P OSITIO CXCIV.
IE ad A BC parabol axem BD, ordina.
rim applicata AC; actâque per B concin-
sente BF, qua CrcCEX ex A diaMEETO, OCCUTTAE
in L, describatur per AB parabola A F B, cuius
axIsALL; CeHtTOq: D inceruallo AD, circulus
quadearum est ad quadrarum B Ti: sed eciam
ve ITT ad BD, Sicb AIC rectangulum c
ad rectangulum AD C, id est LO quadtaEuMI
ad quadrarum DP; igitur rEquadratum F R
adquadracum BR, SC IC quadracum ad
quadrarum DI, id est A D, id est F B. qu2-
re LCn FiK, quadrata adeoque d linex in-
Dico C1, F1 lireas esse icer se xquales.
describatur AG C, quem in G, secet recra quae dam FTC, a quidistansaxi
BD, occurren(G; A B C parabolae in HI, X A C linex in l: denique per HL
Ponatur IEF paralle la E B, occurrens AF B parabola in F d A F in R.
Domorosr
DRoducta BD, occurrat circulo in L: v
AK ad AR, id est HII ad BD; SICFR
TCF(C RQUAnEUT.
P R OPOSITIOEKCN.
raOblX. iunSanEUrque AF.
Dico AE, CI lincas aquatt1
12
DAEB, quem in F. Sccencrecunesuc ordinarim posire eF, ad axetr pa.
at Eitea
estsp A F sic HS CC,3 2117I 1CBBT. L BP
Bies C LIMA A BB F
rensise ut sqt 11I.
lrcp
11
DILoP
Demonstratio.
Voniam AB, laceri recto
Laqualis est, quadratum FC
aequatur rectangulo (+ AB; sed
e C AB rectangulo aquale
quoques est quadraium AB.
quia AO F angulus rectus est
Quadraca ipieuE AR, F C adco-
que  linex inter se EquaneuL.
Duod Crae demonstrandum.
E iO MIOXS BA OVpNIIENOQ
379. 3   4 03 Es. 3ul 2 A, et A et C ∞. C
PRO
VpeF AB C parabolx axe AB aequali laceri recro, circulus deseribatur
 t   e o  oo   H s e      s a ee