( * 3<$5 5 
imetrum AH, 8c ptoinde CHq = AL * AH =s AH, ob 
AL = r. At CH = CP + AG, & AH = GB + BP, 8c 
propterea CPq + 2 AG * CP -f AGq = GB BP ^ led. 
ob naturain Parabola erit AGq = GB, unde CPq + 2 AG 
x CP == BP. Jam a pun&o C ad ipfam BP demittatur 
norma sCD, qus occurrac etiam ipfi El, ad BP afce pa- 
rallels, in punfto I. Propter fimilia Triangula CDP 8c 
VS » CP VT * GP 
TVS, erit DP = — ■ & CD = - — 8c pro- 
inde CPq + 2 AG * CP = BP - DP + BD = VS * CP 
+ BR — IE, 'five CPq + 2 AG x CP 
= — IE, Aft IEq 
VS 
ST 
sr 
CP - — BR. 
CEq — • Clq — CEq — ^CDq: 
VTq - 2CD « VT - CEq - V 1 — VTq 
STq 
— — S^V^ob VTq-STq- SVq) CEq -. CPq 
2SVq C p. 
ST CF ’ 
SVq 
aST .x CP4- 
+ §Tf J CPq — STq + SVq ■ 
qnse igitur squalls erit Quadrato ex Latere CPq + 2 AG 
VS 
x CP — — CP — BR. Atque hsc iEquado ad termi- 
I 
nosp, q, r, s, £ revocata ipfiffima fit ASquatio propofita. 
Hinc liquet, quod eadem qusvis iEquatio Biquadratics 
innumeras per Parabolam conftru&iones fortiri poilit, pro 
indefinite v'alore quantitatis iftius, quarn ad arbitrium aifu- 
mi poffe jam diximus. Sed cafus eft fimpliciftimus faciendo 
VS = p = o, 8c migrat conftrudio, fi rem ipfamfpeftes, 
in vuigarem iftam , in qua Radicum reprsfentatrices 
reels CP, See. funt ad Axem perpend iculares. ^Equatio 
autem fit x* = — 4rx 5 — 4.x 2 n? + 4rsx' — q% quae facile 
+ 2s aq — s* 
— 1 ,-f t 1 
conftruitur utfupra. 
$ 4. Sed 
