*>S=5| ) 380 ( ^c^-^ 



§. r8. PoOauam igTtnr Infegralla 



/Vdt^fVdt- fdtfVdt; fdt (aVcof.f-i-Ufin.Oi 

 fdt{z Vfin. t -Ucof. /); 

 inuenta funt , pro inueniendis «' et (|)' tantum reftat , vt 

 bina vitima integralin in cof. r, fin. / multiplicentur; tuni 

 cnim erit, vt (iipra vidimus: 



u'=.-^fV dt -i-cof. //<^r(2 Vcof. /-i-Ufin. t) 

 --t- fin. // /3' / (2 V fin. / — U cof. t). 

 Cp'= 3^<///V^/ -h2/U ^r + 2 cof. ///// (a V fin. t-Ucof.r 

 ' -'' ^ ^ - 2 fin. r/^/ (2 V cof. / -+- U fin. /). 



Verum tum quoque perpendendum efl, hacc integralia 

 quantitatcs quasdam conflantcs inuoluere , quae ad quanti* 

 tates tt', CP' txprimendas non pertinent. Sic igicur quum 

 ex indole quaeflionis intelligatur, (p' non exprimi debere, 

 nifi pcr termiiios in fin, p, fin. 2 /> , fin. 3/) etc. multipli- 

 catosj nunc autcm facile liqueat ob 



m{i — 2. b cof.p -f- A*)* 



jjacc inregrali^ qvuntitatcs inuoluere, quae multiplae funt 

 ipfius anguli p; tumque/fimtil patet ex integrali 



- 2 fin. tfd t (a V cof. /-h U fiu. /} , 

 terminum huius formae N fin. / produci; inde omnino 

 concUideu<ium cft, has quantitates ex valorc ipfius ip efie 

 eliiTiiiiandas. Id .iutcm tacilc pracdabitnr, ponendo valo- 

 ►em ipfiu.s'Ciy, pto ■angulo p — iSo° ex calculis inuentum, 

 — o, ita tamcn \t ifia pars, quae ex integralibus ■-'-: 



2/ U d t \-zfd t fV d t 

 i? .J ^ ~ pro- 



