-S^.^ ) 53 ( l?€- 



nibus fponte fient aequale!;; ex prima enim erit 

 _x_ — t_ _- _ _f x_ _\_ 



Cmilique modo idem eueait in reliquis formulis. Confe- 

 quenter circulus mobilis, cuius radius zz: b', eandem gene- 

 rabit curuam ac circulus cuius radius zzb. 



§. 8. Cum igitur pofuerimus 



^zzlf-^ et A'-^, ob 



^ —\ net — -^ — — -> 

 cx qua aequatione colligitur 



b^ — — a — b , ita vt fit b -h b' zz — a, 

 cx quo patet, binos circulos mobiles , quorum radiorum 

 fumma negatiue aequatur radio circuli fixi, candem gene- 

 rare Epicycloidem, fi modo notetur , valores pofitiuos a 

 pundo C furfum, negatiuos autem deorfum efle capiendos. 



§ 9. Quod fi ergo ftatuamus 

 b — -^a (1 -\-n), erit b^ — -\a(^i -n). 

 Ponamus igitur in prioribus formulis pro x et y inuentis 

 loco b iftum valorem : —\a{i-\-n), vnde fit X-JJ^^,ec 

 confequemur fequentes valores : 



A- — I fl ( ( I - « } cof. 0) -^- ( i-i- » ) cof. ^> } 

 y :=:-:«(( I -«} fi n . 0) -}-( I -1- ») fi n . J^ 0) } . 



Ponamus hic , ad fraftiones tollendas, o)=(«4-i)$ et 



impetrabimus has formulas : 



Ar = ia((i--«)cof.(»+i)Cf) + (i+«)cof.(«-i)Cf)) 

 ^^riaici-wjfin.^w+OCp + ^i+ffjfin.^w-OCf)) 



G 3 qua- 



