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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 424, page id 1815201908:0481
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2. B.
D A R A B OL
PROPOSITLO CXLN
Sto AB C varabole diameret AD: de ordinatim ad illam polica
BC, duCaEUEAUCeM Ex A quauis AF, sccatis BC lineam in F: qua
producta occurrer parabola in punceo quouis Ci. oporcet illud exhibere.
emmus Constructio ex demonstracio.
Actum Gr: policacque ordinatim C D, erienur
GFI Parallela diamerro AD, OcCurrenS BC
in HI. sicaucem A Tlacusrectum. Ouoniam OH
aequidictac AD diamerro, FP. II rectangulum,
hoc est rectangulum F F CD, aequale es qua-
drato 2CF, hoc est BF. sed d quadraco BE
aqualebest rectangulum T A Firectansulaisicue
E AI, F F C D aequalIa SUINE. quarC VEF B ad AF,
 AL est ad G D: _C D quidem hac aqualis
CX L. V
ceriq: Et 1
1 CeIE
ABCANE ABC, DFF parabola all eundem axem AC consticura
e AB C quidem superior, habeac A FI lacus
ParabOLE DEF. L LHI imnuli
il
iitr
c
Dico sectiones illas in infinicum
productas nulquam convenire. u
13 5Y b01C, ACCC AQI
Demonstratio.
DOnatur ordinacim ad aXem A C qua
L cunque linea CG, OcCurrens ABC
10r Parabolx in C, d DF F in F. criciostut
et
C quadrarum aqualc rectangulo LDC.
 CC quadearum aequale rectanoulo
FTAC: sed TD C rectangulum minus est
rectangulo FTAO, (quia PDlacus rectum
minus poticht ip1o X ce DC minot
ipsa A C:) igitur de quadracum PC minus
lil est quadrato C O: d F punctum cadicin-
203 eer C _ O de quia idem de quouispuns
uopatabolX DRF octenditur, pacee le
ctiones ilas in intiucum procdus nutquam convenire. Onod exar demontrm
191: HE A nEMN AMECV (:3 B eiisC M: 
151113 93MIL SE A H. OISSBLABEMIELMECECNE ) UN
13s.) 157 b 3 1 G. 3. B c212.   ai1 ic X3, .11
PK
c. Ibid.
MAc qubdpecebacur
13id01
col Lupices divertos A
rectum maius lacereill
Eecta K. Cricisieur R linca data. Rursum cum C. D ordinarim posica sit ad diame
Erum AD, ve AT ad GD, hoc est cadR, sic R est ad AD: igicuE e AD li-
nea policione daca e. quare componendo hacre F F 2d AR, SIC AI ad R, e vi
AI ad R, sIC K ad AD, ducacurque ex D ordinacim linca D C, constac factum
R
DI
15S.  C M idint
dum.
( e e    .   1  e  . . t   11   a   A    Ba s A . u            1 t    p   1t ite   a