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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 479, page id 1815201908:0536
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IFC
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OCCUE.
eed ipt
dictan
ALIH
inacim
erian.
mento
Menta
octen
aeI: 8.
a sunt
Aa le.
(pun.
iame
id Ct
_ B,
Tatiam
ux did
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t
et III
bin
ato
1a
P A R A B, O, L A.
PROPOSITIO CCLXIX.
DArabolam A B C cuius diameter AD.
a contingat in A linca AF: in qua a(-
sumpeo quovis pucto E, ponatur diamerer
F. C, queinF, G, HI puuctis secetur in par-
ces aequales; ductilq; AC, A FI, AG, AF li-
neis que parabolX OCCUErAnE In B, I, K:
IUngAHEUT AB, BI, IK, KC.
Dico lesmenta AB, BI, LH, K C ette
incer le aequalia.
Demonstratio.
H RiganEuE ex B, F, K diamerri B L. , LN,
RM: GuOniaM BC, IN, RM, CF, X-
quidictant axi tecta AF 2 in L, N, M dinila
Es LCHE F C dinisa in F, G TF: ioieur linex
AL, LN, NMIME, aequaleS SUnE: 2C prO-
inde sesmenca AB, BI bTK, KC incer (C X.
qualia. Duoderat demonatrandum.
eROPOSITIO CCLXZ.
Darabolam A BC subtendar quaeuis
 AC normalis ad axem parabola,
qua diuisa in D, E F, G: VEAD, A F, AF,
AC, A C proporrionales (INE, DONAnEUF
diametri DB, E H, FI, C VC: iungantur.
que AB, AHI, AI, AH.
Dico fcgmenta AB, ABHI, AHII, AIK, AR C in continua esse ana.
108ia.
 Demonstratio.
eem
Fomencum AB ad ABFI scgmen-
Ocum, rarionem habet eriplicatam
cliNCK AD ad A P lincam : eC AII
logmencum ad sesmentum AI eripli-
cacam dhaberrationem A F ad AF,
 sic de cereris; igirur eum AD, AF,
AB, A C, AC conLINUE AINE PFOPOF-
tionales, segmenta quoque in continua
Cunc analogia. Ouod erac demon.
Arandum.
pans
Ed
hevin
2tio
PR C