I50 E V O L V T I O 



aequatio — ^fin. u-Y-o pracbct hanc neqnntioncm 



o — — 4Ba)*+8Cw*— i2DcjJ*+i(5Eoj'— coFoj"' 



+ 4aB- 8 a C +i2aD^i(JaE 



-^eB+SSC -12^0 



+ 4 Y B - 8 yC 



-4^B 



~A+2"- B- 2*^+2' D -2*E +2"Fctc. 



Tnde colligitiir A"o, tum vcro per 4 diuidendo 

 prodeunt hnc acqualitntcs : 



(2*-2)C:=:aB 



(2^-3)D:=:2aC-}-^B 



(2* - 4) E n: 3 a D + 2 e C -h V 15 

 (2'-5)F — 4«E4-3SD+2yC + ^B 

 etc. 

 17. Etfi hiuc \ix \llnm lcgem progrcfTionis 

 concinnam fperarc licet , tnmcii practer cxpcdatio- 

 nem cuenit , \t limuo B — -^ Rqucntcs clicinntur 

 Talores : 



^=,77' C = ;-^5 Drr^-f-;,; E =r _^ ctc. 



fimilique modo pro potcftatibus imparibus reperitur: 



2( = £» ; 23 = p^- ; (£ — ■ ^ ; S = ^-^ etc. 



quae feries cum per finus et cofinus fint fummabi- 

 les , coUigitur fore j — a cof u — a -4- ^ fin. w ; \ndc 

 Concluditur 



/ =: n^L:ri2£i£.) - ._ « tang. ; w ct f-^ — rzr- ^, 



ita \t curuae quacfitae radius ofculi \biquc fit cius- 

 dem magnitudinis) ideoquc curua circulus. 



18. 



