PROBLEMATIS. i 9 x 



\$dz-pd?~zcczdzzzzo t Hinc Ndz-\-pd?-icczdz 

 zzd. Vp. Qiiod integmtum dabit 



V(aapp-i-zz(aa-t-zz)) — cczzzz?p-\- Conft. 

 Pofita conftante zzbb tt reftituto valore ipfius P obti* 



nebimus v { Zpp?^M+Zzj) -bb + cczz, vnde p definietur 

 fequentem in modum ap — 2»e±^g^5^±££^*> 



et ob p zz j| nancifcimur aequationem figuram bafeo* 

 exprimentem 



MV r — zV(zz(aa-f-z2) 2 ^- aa-4-zz)(66-#-cca»)*j eC 



<b — Conft -4- f — a dz(&6-+-cczz) < 



^ *^V zif(zz(aa-t-zz) 2 —.(aa-i-zz)(bb-i-cczz)*y 



Vbi conftans poft integrationem ita definiri debet, vt 

 pofito <$> — o; & obtineat datum valorem , eum nempo 

 quem habet , fi pun&um M transferatur in A. Toties 

 ergo curuae problemati fatisfacientes prodibunt algebrai- 



MP nnnf-i*»c f^ adz(.bb-j-cczz ) 



cae, quones j zy(Z2(aa+ — — ~_-~^^__^. nrae ^ 

 bet arcum circuli commenfurabilem arcui <f>. 



4) Haec erant, quae ad Eulerum priusquam eius 

 folutionem acceperim transmifi. Cum aequatio inuen- 

 ta in genere integrationem admittere non videatur, ad 

 cafus fpeciales erit defcendendum. Ponatur in aequa- 

 tione inuenta — zzaa, feu bbzzaacc , et habebimus 

 pro natura curuae quaefitae fequentem aequationem 



1 /fs. Q c c d z 



«<P~ z^i(zz—c*(aa-^zz)) <Jirae mutari poterit in fequen. 

 •" '*= ?E=5»' SVB/fs?: « P ofi «> bteuitatis 



I-C+) 



gratia ^5=/, prodibit tf<f>rr ^iHbrfr. Vn- 



d !^% redU ' aiol,e pr0dibit ^5fl^ = i- At 

 i(zzd$* -^dz*T° eft perpendiculum ex centro D in 



Ungentem demiflum, quod quia eft conftans = —-? 



cuiua 



