41 



Constat autem pro nostris terminis integrationis, ab dcrrO us- 



, c xdx , . r xxdx ir j 



que ad xr= i, esse J -==:^^^ ==: i et / -==-r^ zr: - , unde 



^ ■' V i—xx •' Vl—XX 4 



colligitLir Azzz ^, id quod cum ipso producto Walllsiano, 

 quo ^ :=z.\^ .'^^ . -^ . etc. egregie convenit. 

 Casus 2 , quo c := + W) . 

 §. 29. Evolvamus nunc quoque alterum casum c~-\-hh, 

 pro quo fractio continua hanc formam induit : 



» r aa-h 4bb 



*^ 2/ — • a -+- ^f-.aa-h9aa-h4bb ;_ 



4/ — îa -)- 2jao -f-466 



4/ — 2 a -(-49 <ia + 466 



4/ — aa-f- etc. ■ 



At vero productum continuum, ex praecedente forma, loco 

 h scribendo b j/ — 1, ita imaginaric expressum se prodit: 



._./-_7 / V (/■hbV- ()(f-h2»-bV-,-) ( /-t-2 • -4- bV- 1 ) C/-t-4a- 6v -■ ) p^-^ 



Evidens autem est in eadem expressione §. 26. allata 

 etiam loco 6 scribi potuisse — b]/ — 1, unde prodiisset: 



._,/•,/_ ^ ( f-bV- ,)( /. ^-2a-t-fty-i) f/-»-ga — 6/— i)(/-4-4a+&^-0 

 ■^-V/"^"»^ V(/+u_6y_,')(/-f-a-4-fcv'-i) ' {f-h3''-l>V-i) (^f-hia-t-bV-i) ' 



Productum igitur harum duarum expressionum fit reale , 

 erit enim 



A 2-/ /y hU\ Uf+bb)(Cf + :a)^ + b b) ((/-f-2a)' + 6R)(C/4-4a)' + 6S) ^^ • 



quae expressio congruit cum superiore, 5-25. inventa. 



5. 3o. At vero etiam expressio per formulas intégra- 

 les evadit imaginaria. Si enim in formulis §. 27. loco 6 

 scribatur h}/ — 1, orietur sequens expressio: 



M//»o;r« de tAcad. T.V, ^ 



