C V R V A R V M. 75 



poteft , fcd quia quatuor reperiuntur , id indicio 

 eft curuiim duplici nuno elTe pracditam , et iti 

 ■vtroquc arcus acqualcs cxhibcri. Confidcremus ca- 

 fum quo puncTium P in ipfo pundlo A capitur ita 



Vt lit />I=:ai Ct q~^ MM-t-+J-t- + Maa 



quae fbrma fubftituto pro M valore ftatim diiosva- 

 lores praebct aequalcs q~b^ at duo rcliqui diuerfi 

 contincntur in 



4a»-t-»aa& — 6ah'--f-S*— ♦o*-na*t6-t-»a*6*J7»a(;a-&-ia>fe;a6 



^ — aa-i-6Jb-i-tb-^»a^—2*a*t-i-i6J>bb-\6aab^-i-i6a*b' — ta6bb-^*f.a^b~*a^b-^-iii*)»^ 



qui duo valores fempcr funt diuerfi , nifi fit vel 

 b — a vel «1=7^7^: illo cafu prodit q—a — by 

 hoc vcro rcperitur q— t^-ti- Pundum ergo cur- 

 vac quod rcfpondet quantiiati r^"y, fingulari pro- 

 piietate crit praeditum. 



Problema ^. 



47. Inucnire intcgralc completum huius ae- 

 quationis ditfcrcntialis : 



d_2. — ■^ d X ^^ 



- V(A-H aBj-t-C»-hjDj^-+-E><J — V(A-*-2BA;-j-Cj:x-f-2D*^-»-E**J • 



\ 



S o I u t i o. 



Iftud intcgrale quaefiturR ex praecedcnti pro- 

 blcmatecolligi potcfl. Capiatur cnim pundum P in ipfo 

 punfto B, \t fit /)~^; et confiderctur tantum pnn- 

 dum A vt fixum , B vcro feu P vt variabilc , ex 

 qao continuo aflignari dcbeat pundum Q, vt fit 



K 2 arcus 



