43» CONSTRI^^CTIO AEQVATIONIS 



dq, feu r — jifc f dqjcfq p dq. Erit ergo r jzrT 



^xfp> Pdqp'q f dq.QtS-rz-rcf q p Jc p dqjc pq p dq. 

 §. lO. Qiioiiiam in hac forma inuenta duplex in- 

 uoluitur integratio , notandiim eft eas ita inftitui debere 

 vt tam S quam 3^fiantizo,pofito^i=(7,quemadmodumex 

 ferie cuiS eft aequale, apparet. Hisobleruatis habeuir tan- 



q p — n — 2q q ""• — ? 



dem R=:i4-^tM ^ JcTdqJiP^q p dq. Eft ve- 

 to q-VgQ,. atque ob Q^-— ^— , erit ^^V 



- ^^—. Dabitar igitur ex his /P R dz feu/-— -7"— . 



Quare fi litteris tt , ^ , fx et ^/ tribuantur debiti valores 

 in «, in promtu ent aequationis propofitae ax^dxzn 

 ^y 4-.j2 ^x conftrudio. 



§. II. Hoc fiido reuertor ad propofitum, atque 

 refumo feriem i-}-Aaj:-hABa p^= -h etc . quae po- 

 fitis loco A ,a,B , (3,C,v, etc. ckais valoribus transmu» 



. , , g , . (M-tJj£l 



tatUr in nanC I-t-6^v7:(Tr_HP)~'~ 6Vvv7-t-i)7rv7r-(-p)(7r-f-2fJK7r-^-3P) 



etc. caius haec cft iex, vt terminus indicisO-j-i diuilus per 



. ... [, Cf g: I -+ -(g— . v T 



termuium mdicis f nt _ ^^ ,_^_ , j^Tr-^-.rs-ajjjjIi^tTcs^T)?) • *" 



ferie vero quam §• <5. ex aequatione propofita elicuimus, 

 eft fimilis quotus termini indicis $ -f- i pcr terminum 

 indicis diuifi — ^g^_^.;^_f)^„_(_; g).Qiio igitur hacduacfcries 

 congruant,oportct vthi duo quotifint intcr fc aequales.Fiat 

 ergo primo ~i,—f fcu gmbf., hoc pofito debcbit eife 



aM.-M.-f- 1 \7nAc (» 



(#M-f-29— 1 )Wt-|-;^) — (nv-f-u£-M.)(''r-f-2et)-2p)(Tr-f.;Jp-f)- 



aequatio fecundum dimcnfiones ipfius (? ordinctur, et 

 coefficientes cuiusque ipfius potcntiae ponantur ~o, 



dcter- 



