301 D£ MOTV TAFTOCHROXO 



miim , ac pnietercn ofcilhitiones amplioics exdudantiir. 

 Tiim cnim qiio longiiis fiimatur rale pcndnium , co mi- 

 norem obtincbit \alorem qujntitas Jb k , rcrpedu quantitatum 

 a a et r r. Qiiod cum cucnit , li acquationis inuentae 

 intcgrale per Icricm exprimatur , cuius tcrmini (ccundum 

 potcflatcs ipfius k k progrcdiantur , fufficict huius (criei duos 

 ■\el tres terminos initialcs acccpifTc , cum fcqucntes ob 

 altiores ipfius k k. poteltatcs finc criore practcrmitti 

 qucaut. 



§. 28. Aequationcm ergo quoquc diflfcrcntialem 

 inucntam fccundum potcn.ates ipfius k k difponamus , quae 

 indiiet hanc formam : 



4-^rV(p-i- 2akhrd<p -^ak*(J(p 

 -aar\l<^ cof CP -a"k"rc/(p cof (^-k*r(/(p coC (p z=zo 

 -kkr'd(pcoi. <P'k*dr fin. (J) 

 -aakkdr fm. Cp 

 ex qua , Ci k k cuancfceret , forct r z=z a cof. (^ ; 

 ponam\is crgo ad valorcm ipfius r vcrioixm inuc- 

 nicadum : 



rzz a cof (p-^k^ P -h k*Q:^ ctc. erit 

 d r — -tf^^Cpfui. (p-l-itVP-t-fcVQ-i- ctc. atquc 

 r — a\oi: CpM 2^ik'Pcoi". (p-f- zak*Qcoi: (p-H ctc. 



-H k*y? 

 r' — tf'cof (I)M-3«VPcor.(p*-h3''V(;) cof (p' 



-f-3<7«*l^'cof (p 



r* - «\of (p*-i-^«TP cor(p'-f+«V(i cof 0' _! ' '1 



etc. 



