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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 478, page id 1815201908:0535
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B AR A B, O L. A.
DR OPOSILAO CCLXVIL
FII, GB, occurrentes parabolxe in B, FI, C; iungancurque AB, BHL, H C:
Demonstratio.
VEantUE AFT, B C, eE A FT quidem occur
ac EB linca producta in I. B C vero ipsi
LLL in R. Ouoniam TC, FFI aequidistane
_ AC C+F ponuneur aquales, rectae AL, TH
incer se aquales (uInE: guare A FI ordinarim
volica est ad diameerum IB, _ A B FI crian-
sulum maximum. est corum quae legmento
ABHI inCcribipolunc: adcoque e legmenta
bAB, B HI aequalia sunc. codem modo osten-
duncur leomenca BFI, FT C incer se aquari; (e-
emenca isicur AB, BII, HIC aequalia lunt.
Ouod erat demonstrandum.
Corollarium.
RoPOlicio quoque vera eAt s ex A ducta sc.
cans AN dividatur in parces xquales pun-
atis F, M: Cx quibus in Paladean eatx emitraneur Y, B, MFI, NC Parallele diame.
ero AD. demonttracio PaTeE ex PrXCedeNEI.
PROPOSITIO CCLZVIII
VIE ad ABC parabole axem B D ordinarim potita recta F F; 2ct a q
per B contingente B FI, Cumatur in illa, porrio II Ixequalis P. F: XL CX
HIet. L, diametri demirrancur FI A, IK, occurrentes parabolae in A e I,
iungancurque AR.
Dicolcomentum AR, aequari sCBMeNTO F BF.
huin
262. HV.
DArabolam ABC cuius diameter AD, contingat in A linea AF; qua
diuisa in partes aequales, punctis E, F, G, demicrantur diamerri F. C
Dicolesmenta AB, BLI, LLC Cleincer le ae qualia.
emonstratio.
uisâ A Kbitariam
5
11st .e
lp..
NCTCENVM. SuMaM
nucura quales et MH
ad BC in duplicara
RF, rectEMN BOin
cer se equales sunciled
in eY ducacur dia.
AL, F F linca pO-
est ratione c AL 20
ratio Teomenci AR
adtesmentum P. BF compolica eltsexractoe  I ad B C, de AL. ad F P, (exmen.
cBIcur AK aquale CA (CGMCnEO P. B F. Quod erat demonstraniduu.
PRO.
     s A  B  B       t         s   6 e et  t e ut s u    te   stet e   des  e   pla t.