136 
LIBER I. SECTIO III. 
adeoque 
*Wk~\/ff 
r + /+ P 
4 a 
m, \J 
V + r'— p _ 
r -j- r-\- p 
r -J- T — p 
Statuendo itaque |/ 
ad decidendam vero quaestionem, utrum fiat =-}-2w an =—2w, 
inquirere oportet, utrum ^ maior an minor sit quam c: sed ex aequatione 8. 
art. 99, facile sequitur, casum priorem locum habere, quoties 2 f sit infra 180°, 
posteriorem quoties 2 f sit supra 180°. Denique ex eodem art. habemus 
4 a 
n, erit necessario 
It = *(T + f)(«—?) — 2 loge = —4 —logc T + logl- 
= 2m\J(1 -j-mm) + 2-\-nn) — 2log (y/(1 —(— mm) -j-m) + 2log(|/(1 -{- nn) -j- n) 
signis inferioribus semper ad casum 2 t /^> 180° spectantibus. lam 
log (|/(l -\-mm)-\-m) 
facile evolvitur in seriem sequentem 
m — + f *iX? m7 +etc. 
Hoc sponte colligitur ex d log (|/(l -j- myri) -j- m) = itaque 
2m|/(l-f-TOw) — 2log(\/(l -j- mm) -j- m) = m 3 — . \m b -j- -f' ^7— etc.) 
et perinde formula alia prorsus similis, si m cum n permutatur. Hinc tan 
dem colligitur, si statuatur 
T = \{r-\- r—p) 4 —-sV-i ( r + r — p) 4 + tAt . ± {r + r—p) 4 
TITJT • ¿3 ( r “f" r p) 5 e t c * 
u = + (r + r'+ p) 1 —sV • \ (r + r'+ p) 4 + tWt . ¡L (r + r + p) 4 
tsItt • ( r “f" r “f" p)" “h e4c *