(133) 



CX qua aequatione racillin.e iudiciiim circa litteram X petetur. 



§. 25. Pro n otu autcm ipfo dcteTminando vtamur 

 ea aequatione, quam (iipra , \bi ambas quantitates n et X fi- 

 mul exterminauimus, fumus aciepti, quae ponendo 3^j = fl33cJ) 

 €rat 



a d d (p (a — c coC. (p) -h d d <p (c c — a c cof. (^ -*- k k) 

 -t- a cd(P' Cm.(p — — 2 c gd t' fm. Cp , 

 quac reducitur ad hanc formam: 



{aa-^cc-^-kk)dd(p— 2 a c d d (^ cof. (^ -+- a c d (^ fin. <p 



— — zc gd t* fin. (p, 



quae pcr 2 D Cj) multiplicata fponte fit intcgrabilis, integral» 

 cnim erit 



(^ ^ H- f c -t- ^ /t) 5 Cj)' — 2ff r 9 (p* cof. CP =r 4g 3 ;• (C -+- f cof (l5) , 



vbi conrtantcm C ex circumrtantiis quas confidcratio fridioiiis 

 fuppeditabit, dctcrminari conuenict. 



§. z6. Nunc igitur iudicium circa littcram X inftitua- 

 mus, \bi antc omnia loco d d (^ eius valorem per differen- 

 tialia primi gnidus fubllituamus , qui cx pracccdenti aequatio- 

 ne prodit 



3 5 Ct) — — '' g e '") f^ -»- c a ^) (in. ^ 

 aa 1-cc-T-fck — laccjj.^' 



tbi fi loco 2 g () t' fcribatur valor ex nequatione integrat» , 

 rcpcriciriUb : 



3\C-,-ccj.45l aa-(-cc-t-(tfc — ^jccoj. ^' 



add^P — c^i^ClicoC.^p-hcd (f fin. 



c ' t' 'in. t jr +-,cc)^t) — 0» 01- o— f C5f. 1)' 5^" 7n.(J . 



» C -t- j c cj,. p oc -t-cc — kk~ aa c (} .^ * 



R 3 hinc 



