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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 537, page id 1815201908:0594
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rie.
Etd
3X
1
1III
AEY BER BOL A
4. Ficira.
hyperboles, ex mence apollonii, quod ex sensunstrae proposons concedi debet.
riictionem accomodandi Apollonico discursui, quod proxima provosicione conabimur prastare.
11
PROBOSITIO VIII.
D Ecta AB divila sIE vicunque in C; ex quo duct a quauis CD, pona-
LLcur qua cunque AL quam intersecent xquidistances C L. Denigue
hantrectangulis C F L. aequalia quadrara FII.
Dico CHTB esschiyverbolam.
anscilicet so rectanentis N C I, fant aequalia quadrata C O. Sieura DCO non sit fisura
ad soluendum hunc nodum nullam praxum commodioret mio quam eam ipsam con-
Demonstratio.
tac rectae CB aequalis B M, d Ponca 
runcioitur rectis C F xquales F R, ca CCulis GFP Racuantur Xqua
lia XFF, Pacet AIF lineam rectam esse _ OF d Fl, cam rationem conrinere
quam FK ad FL, ob aequalicarem rectangulorum. IM cangula R F I hoc est
CF, aequolia etime quadratis F FI. GuaICTCCLAHSMTMIM C F L cum siC applicarum
ad rectam CN habiens lacicudinem C lesctac queguccaulum NC. Fhiou
paOP Simili figure lib NC; _ C A, PACCL HOMLAMM L +F+I. Cam iptam ese qua ab
aeparallelis OL in RK: e
Apollonio deleriptatuir: hincisicur pacer dubis expedicio: quod praecedenslchoson
in medium acculerar sub tinem dilucidandum. lineam A C, diam etrum nominat 8t
simul lacus cranluersum linex CN, quam lacus rectum dicit: punctum aurem quod
AC bitatiam (ecat sixurxe cenrru indigerat: quia omnes diamerros bitariam diuidic
XyY 3
Stho-
t pt e  et   e e e a  te e ut et t A t t se     1  .  t a e e At i.   t t   t  e   a       lt . u