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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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I
IN. PL A N V M.
Demonstratio.
VCAHTUE GUDELUNqUE GHTTK parallela adt F. P, B C, que omnes erune ordina-
eim poliex ad diameerum ABF, vepore aequidiltahces ordinarim polEX P F:
oltensum est aucem lib. nostro de IIyperbola: GFT, C L, et K ese concinuas: IgieUF a Excon
oplanum C. P ductum in (C Xquacur C HI ducto in C K. Ouod ture demonttrandum. nesa 200.
PROPOSITIO XCII.
NIrculum ABC cuius diaMCTEF C F.
Lacontingac in A linea AD conveniens
cum diamerro in D ductaq: F. F parallela
concingenti, perpuncta A e P. delcribatur
hyperbola cuius diameter (IE C F. D, XC. Or-
dinarim polica ad diameerum AD.
Dico corpus orcum ex HC ducto in le
aquari quancirari orce ex HI Iducto in HIK.
Demonstratio.
Veancur enim infinice TTFGK, parallela ac
AD, FF, detendimus lib. de Fyperbolacli
neaS OmneS FTB FTC, HIK in concinua cMlC analo-
Bia, Vnde pacec dFI C ductum in se aequari FF du-
ao in IIK. Ogod tuic demonstrandum.
PR OPOSTTIO XCILI.
Virculum E. BD conmigane dux recta AB, C D libimuruo equidi-
oltances, quad ogonalicer in A e C, secec linca AC; per puncta
deinde B, D deletibatur hyperbola cuius axis aequidistet ransentibus
lly
AB, CD
Dico FH ductum in a aeua LL. alebI +B.
Demonstratio.
3
+5. huiius.
C Conn
206
vniversali 45. huius, pacet vericas propolicionis. Dux tuiedemonttranda.
EcCCC 2
PRO.
Veancur quoruis FF HC parallele ad AB. libro nostro de Hyperbolac oAten. = Conn
Cum est omnes lincas F F, F FL, FC Cn  Concua analogia. igieur ex propol. 210. Hyp.
M is    A   t  i t    e i     s  et ute t   t   1  . 1.