32 SOLVTIO SINCJ^LJRIS CASVS 



retui" haec forma cnm hac k — aa-'^a-—ya^ — ^a^ 

 — etc.—^Va — y^aVa — e.tc. prodibit k — 2.nVi'., a.~ 



1.21 £ 1 . I . 2 'I «, -I -1 3 -21 ^ \. 1 .3.'; ■ 27 1 



~2^-~ ■• ~^.2.cVc^ ' 8.2-3c'V--'> ° 16.2.S.4-.CJV': ' 



etc. ct <^ ~: 2 « , >] — , ^ =. , 2 — etc. 



§. 10. Cognitis his A^aloribus prodibimt A , B, C, 



ctc. Nt icqiumtur. A 1=: ^Ez^Tzrr » ^ — 77^ jr, , C n- 



Y,4^c.-izri , D r= 77^j:]z.t etc. E r^ ;/ , F := , G — 

 etc, Pro curua igitur quaefita BMC inuenitur ifta 



acquiitio , ^jrr 777=^::i ^ 3^v-=7.i^ ~ ^Tv^c.i::^^- e^C. 

 -t-«^/.v, cuius integnilis kiec cll s n: ;; .v — .JZc.i^ 



<T.T YTc ^'' '^~T~T- " i-lJTT^— + ctc. ).^ Facihus au- 

 tem erit aequationciji ditfcrentialem in cxprcliionem tini- 

 tam transmutare, ei\ autem ca ivaec ^/.f — ;/ ^.v — :^;r^'^ 

 V "^ -^ 37^"?c= 7^j-T-ctc.;. Qiiac feries expri- 

 mit arciim circuli , cuius tangcns eil V.v pofito radio 



yr, hanc ob rem crit dszzn(/x — i~ ^ ^^^'^- 



§. II. Acquatio hacc inuenta ^szLnclx—i— i^J^J^^^^ 

 poteft integrari , proditque poll: intcgrationcm hacc ac- 



quatio szz nx—.;^—^fzri- jzrr S'c-v— ^- fhc ipfius s 



valor ope redificationis circuli conftruitur fequente mo- 



Fig. 2, do. Fiat circuli qnadrans cuius radiusACrrr, duca- 



tur tangens ATrr Vtw ct fecans TMC, erit j — — 



~ — ' — ^"TcTxE • Namquc cx natura circuh 



eft ABrr:-^; et AMm^/^^-^^, \ndc data 

 couftrudlio ficile fcquitur. 



§. 12. 



