*>Ui ) 101 ( |f*<»^ 



dc natarum per S', S", S'", etc. defignemus, hac pcr for- 

 mulas integrales fequenti modo exprimentur: 



j^ g/__ p-\-f!-hl 



JT S'IZZ ( ^ -f-^» -4-1 ) (/, -f- „) 



III. S'"z: , , '- . . 



Vnde fatis liquct, quomodo criain fequcates valores S'', 

 S"' f etc. exfrimi dcbeaut. 



Scholion, 



§' 38. Quodfi ergo litterae p, q Gt f] denotent 

 numeros integros, eiiidens e(l , fingulas hds formuLis ada 

 euadere inregrabiles, indeque eadem produda enafci, quae 

 fupra pro fumma S inuenimiis; fin autem inter Iias litte- 

 ras fradiones occurrant, fummatio ad quadraturas co al- 

 tiores reducctur, quo magis fracliones fuerint complicatae; 

 inter quas ii cafus imprimis notatu digni occurrunt , quos 

 ad arcus circulares reuocare licet, id quod vfu venit ia 

 ifla formula: 



, . fTnp fv'^' 



( I — A-/ * X 



/ 5- . — , fiue fx^" d x{i — x)' 



ita vt, comparations cum prima noflrarurn formuL-inim 

 fa(fta, iit 



p — q — Ts.— I et q-\-n — i ■zz~'Ky 

 ideoque 



^~ — « et ^~a — »-"A. 



N 3 Pro 



