(10) =: 



Cafus I. 



§. 13. Sit igitur primo a^c^ ponaturquc aa — cf 

 rzz b b^ eritqiie 



r a d X r a 3 X a r b d x 



J aa — ce-Hxx ■' i b -^ x x h J b b -h- xx ' 



cuius integrale eft 



|-Atang.^:=:^Atang. ^-—;/-<^'' , 



quocirca pro hoc cafu habebimus 



(^=zAtang.'Slll=zl^!±^——^ A tang. '^'"-'"'-^''^•^•'-f-C. 



" ajin.(p y'{aa—cc] '' /«>i. (p y i a a — cc) 



Pro conftante C autem determinanda notetur, initio fieri tam 



td := o quam Cp zz: o , vnde concluditur C~'^ (° -'*'""'" ^^' , 



■* ^ ^ t/ ^aa — cc)' 



quo valore indudo erit 



W - -^f^ a-Viaa-cQ ^ _^^fjjj^p. V{cc-aa j m.(t>^) __ a a j-p. V{cc-aaJin.(P^) 



^V [a a — c c]^ &• aj;n.<p V{aa-.cc) ^'jin.q)V{aa — cc]i 



qui valor etiam ita referri poteft: 



W Z= — -^ , A tang. J'n.C!>V{aa-cc) _ ^ ^ ajin.(t> , 



>(aa — cc) o 1' (cc — aa/in.Cp») «^ Mcc — aa _//n.Cp») 



Hoc igitur caCu fin. (p non vltra terminum - augeri poteft,- 

 quando autem fit fin. Cp — -^, tum fit angulus 



w z=: ( ° — I ) 00° 



^ > I a a — c e ) ' -^ 



et diftantia zzzzY^aa — cf). 



§. 14. Hoc igitur cafu angulus w per folos arcus cir- 

 culares, ideoque etiam per angulos definitur; vnde fi modo 

 hi anguli rationem teneant rationalem inter fe , id quod eue- 

 nit quoties ^, ^ J'^^ ^^ - fuerit numerus rationalis, angulum w geo- 

 metrice definirc licebit, ficque ipfa curua tradoria euadet al- 

 gebraica, fiue cius natura per aequationcm aigcbraicam cxpri- 

 mi poterit. Haec igitur circumftantia vtiquc merctur, vt ex- 



emplo illuftrctur, ^, 



^ Exem- 



