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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 420, page id 1815201908:0477
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b 127. bu
R
Demonstratio.
Scemu eltrectaS AL, A D, A L in continua
esse analogi, vnde quoque proporrionales eriit
TK, BD. L N: SCaCCam lune CorinuE B,D∞, 1LD.
igitur GD, RL HHCK, QEN L, DH sunc incer lC X
quales. nam recLAH Sulu CD FI, rectangulo KINL
est aquate, ceententum inluper: cA CD adDH
candem habere racionem quam IV ad DL, hoc
CAC RLAd NL.
II
e 
lempolitis:
F1O CXXXV
Dico quadrarum DL aequari rectan-
Demonstratio.
communi quadraco HL. cx N rectangulum aequale quadrato DL. 90od
cur maximus illorum, qui parabaa llicus in vno cancum concinsunt
Constructio es demonstratio,
iSto A BC patabOIZ axis BB, 0-
porret in illo punctum astionare
D, quo centro circulus delcribatue
maximus eorum qui parabolam in
vno eancum puncto contingunE. AaE
DB linca xequalis dimidio lacerisre.
cti: ceneroque D, inccruallo BD
circulus describaturi dicoillum Caris-
Facere proporcioni. quoniam D B ae
qualis ponirur dimidio laceris recti,
uc. ha. circulus radio D B cetecus, Mcus parabolam in B concingic. quod vero conrin.
gencium circulotu aktnussic, ex illo paret quod circuli omnes qui cenerum ha-
benerlera D, Parabolaloncerlecene; quorum vero centrum inter D e B. cadii
semidiametrum sempel morentabeane Cemidiametro DB, ac proinde illi cirou,
li minores lunc: circulus isicur radio DB delcriprus, concngencium circulorum
maximus est. extubuimusigirur, ee c. Ouod erac taciendum.
eROPOSITIOTCKXKI
X dato in axe patabolx puncto, lineam ad peripheriam ducere,
Soretltimam illatum quae ex eodem puncto duei potunt. 
Constructio es demonstratio.
gulo NHO.
crac demonstrandum.
PR OPOSIFIO CZXZVI
Vadratum HID est aequale quadraris FL, LD: est aurem quadraro aequale
Lquadrarum NL, igituE N F quadracum estxequile quadraris FIL, L D. sed et
iam quadracum N P aequale est quadrato TIP ex rectansulo NIIO, dempto ergo
puncto.
N datx parabolX axC pUnCLUII atBnare quo cenero circulus describa-
iSto AB C parabolX axis BD, _MCO PUMCTuII daruM D: OpOFFCE ex D punCIO
lineam ducere breuissimam illarum, que excodem puncco ad parabola perime.
Peimo
etutre eie ttotliait.
  te .   i ste  1 t t e t e e  e e es p r. e  1e et At  1 4 e 1 e  te u ei     e    e e  t e  (  ( . Ae   1 .   t i t 1  t t 2 s