AC TANG. TAM NATFR. QVAM ARTIFICIAL. 199 



His Yero logarithmis in feries conuerfis habebitur : 



* J I » 3 ♦ s ^^^' 



— * 2 4* 3..^ — 4 +♦ 5..S etc. 



etc. 

 Sumtisque dii!erentialibus prodibit ; 

 ^ == -+- i+p -4-/ -i-/ -4-p* -H etc. 

 -}- |-l-|*^-l-|'/-l-?/-f fs-h etc. 

 -4- ^ -I- f^ -H ?.' -i- ?*' -i- 1»' + etc. 

 etc. 

 Qiiae (eries cum fingulae fint geometricae , fummae illa' 

 rum loco fubftituantur , hincque erit 



At iftius feriei fummam nuper elicui,quaej fi fubftituatur , 

 orietur 



ds_ , j _ —2L^P___ 



sdp ^p 2p-tang.\-n-\/p 



Sit commodi ergo pzz.qq eritque 



s q iang' A "nq q jUTrx iTq 



Quoniam nunc eft d . fin. A . tt^ zz 7:^^ cof A . irq ^ 

 erit intcgrale aequationis inuentae , 



IQ — Is — lq — Hm. A . izq ; conftante autem C ita de- 

 finita vt fado p \el qz=z.o euanelcat Is prodibit /C =: 

 lq-li:q — -H. Quocirca erit ^ =: ^7^7^ ^JTZlh^p 

 hincque ,=:z^-^i^ fiue 



» '4 '5 '16 •2; • ^'•^* 71 Vp 



Q. £. I. 



CorolL I. 



