-I4I ) U ( ^f€- 



limilique ratlone fit 



I - fin. ^ a' - fin. i rf^— cof. K<2 + </) cof. i (a - /) , 

 vnde denique coUigitur 



cof. i /^ — ^ (fin. i a fin. ^ ^ cof K^ + cof. l (b - f) 

 -i-fin. i^ fin.i^rcof.aC^ + ^^^cof i(a-^)). 



§. 32. Theorema XXllI. lisdem adhibitis denO" 

 mtnationibus fi ponatur arcus B G — Ry erit 

 tang. Rm^^, 'vbi 



M = y(fin.'a Cin.lb + fin.^<; fin.y) (fin.^a fin.^f +fin.i^ fin.i^') 

 (fin la^n.ld -{- fin. i b fin. i c) 

 ' ' fin. i (^+^+tf-</) fin. -; (a+^-^4-^) fin. -^ (a-b+c-\-d)"} 

 e*vr'_J fin.i(^4-<^ + ^-ff) l 



~^ cof. l (ai-b-^-c-hd) cof.i Qi-hb-c-d) coOXa+c-b-d^ { * 



L cof K^ + ^^-^-O i 



Deinonjir. Per Theor. XIIT. habetur 



f 3JJ j^_ . jt fin. igfin. |</fin.i/ 



yfin.:(a+^+/)fin.i(a+^-/)rin.i(a-<^+/)(in.:(^+y-fl)* 



denominator autem huius expreflionis ita quoque per qua- 



tuor fadlores exprimi poteft: 



(fin. l (fl + d) cof. i /+ cof. Ka+d') fin If} 

 (fin. i (a + ^) cof : /- cof i (a -f ^) fin. i/) 

 (fin. i/cof. i (a _ 0?) + cof :/fin. i (a - d)) 

 (fin. i/cof l(a-d)- cof. '/fin. K^ - ^)) 



Binorum fadorum priorum in hoc denominatore produ- 

 Ctnrn igitur eft 



fin. r(«+/^/cof. J/-cof.i (a+^)'fin.'/' = cof :/'- cof: («+^)'J 



ct binorum fadorum pofteriorum produdum 



cof. 



