12 MErn.INTEC. FORM. DIFFERENT. R.ITION. 



in ititcgnuionum ncgotio mcrito nobis rcfolutioncm ac- 

 tju.itionum quotcun,]uc dimcnfionun^ conccJi polluhimus. 

 Atquc is formuhc lcu cicquationis iliftcrcntialis intcgratio- 

 ncm pcrtcdc dcdiflc ccnlcndus c[\ , qui cam ad rclolutio- 

 ncm lcu conllructioncm acquationis algLbraicac rcuocaucrit. 

 Qiumobrcm airunv.muis dcnominatori^) propoliii r 



I -4-a.v-+-6-v'-f-Y.v'H-5.v*-{- ctc. 

 fiKflorcs limpliccs , in quibus .v vnicam habcat dimcnfio* 

 ncm , cifc lios : 



(I -f-/).v)(i -l-^.v)(i -f-r.v)( I -+-j.v)(i -i-/.v) ctc. 

 quonim ficlonun numcrus , vti conflnt , acqiiaiis cll maxi- 

 mac dimenfioni ipliub .v , qu.im liabct in dcnominatorc 

 propofito. Practcrca vcro manifclUim cft cocllicicntcs 

 p , ^ , r , j , ctc. cum cocfticicntibus cognitis ot, S, y , (5", 

 ttc. ita eflc conncxos , vt iit 



a — p -{- q -\~ r-{- s -\- ctc. — iiimmac fuigulorum 

 5 z:zpq-\-pr-\-ps-T-qr->r- ctc. — liim. fi<flor. cx binis 

 y—pqr-\-pqs-\-qrs-\- ctc. — iiim. ia<flor.cx tcrnis 



^ — pqrs-\-pqrt-\- ctc. — liim. f;i(flor. cx quat. 



i — pqrst -1- ctc. ~ fum. fiilor cx ciuinis 



ct ita porro. 

 Qivamobrcm has quantitaics /> , <7 , r , .<• ctc. tanqiiam da- 

 tas ac dctcrmin.uas pcr cognitas a , 5 > V , <5 , ctc. iu« 

 rc accipcrc licct. 



§. lo. Ilac pofita dcnominatoris in fidlorcs rclbhuio- 

 OC , fornuil.i dilfcrcntialis 



A-f-B.v-f-C.v'-+-D.v'-f- etc. 



I -\-a.x -+-6v' -H Y-v' -H ctc. 

 ab.bit iu h.iuc forninm : 



- dx 



A4^ 



