63 



i -\- p p -\- q q =. s S ; 



pv' H- c l ( f = s s ' '■> 

 et binae acquationcs II. et III. hanc induent formam concinniorem : 



II. s s -h p\y — g) + q'(z — h) — ; 

 III. 3 s s' + p'Xy — g)-\- q"(.z — h) — . 



Institûantur cum his aequationibus sequentes combinationes : 



II. f __ m. <f ±1 q"ss — 3/*/4-(2/— g) (j/ q" — q'p") = 

 II. p" — III. // = p y/ ss — Sp'ss'-^Cz — h) Q/'q' — qf'p') — 



ex quibus eliciuntur valores quaesiti : 



3 q' S s' — q" s s . 



y 9 p'q" — q'p" ' '■> 



Z ,l — fq'.—f'f ' 



quibus in I substitutis nanciscimur quoque intervallum tertium : 



_ f p(q"ss— v f s<;') — .-,(?'<!— ip'ss') 



/ p'q" — q'p' 



atque his ternis valoribus inventis etiam radius sphaerae osculantis 

 innotescit. : 



§. 6. Hae autem expressiones fonnam adhuc coramodiorem 

 induunt, si ponatur 



pW - q'p" — *>$ 

 v q' — qp' = "; 



quibus valoi-ibus substitutis in expressione supra §. 3. pro quadrato 

 radii sphaerae osculantis inventa, prodibit : 



