[ 4<V] 
s A~ 1 P s -\-PP t 4/>J 
* Icet 4 refiduum erit 4 P 
—x-\-y\ v xx — y\ n = xx—yy\ n > cujus Radix, (cui 
index eft n) — xx—yy. 
COROLLARIUM. 
Si ponatur 2 x = V a-\-V b-\-V a—V b, fuma- 
71 
tarque prxterea V a a — b — m> atque interpreteris n 
fucceffive per i, 2, 3, 4, 5, < 5 , 7, 8, &c. orientur 
./Equationes hie fubje&a?. 
i°. x — a. 
2°. 2 xx~m = a.- 
3°. 4 ^ 3 — 1 mx = a. 
40. 8 tf 4 — s wjc x -\-mm — a. 
5°. i6^c 5 — 20 mx 3 + 5 mmx—a. 
6°. 32 ac 6 — 48 ^ jc 4 + 18 mm xx — m l — a. 
70. 6 \x 1 — nzmx sJ f$ 6 mmx 1 >^ 7 m i x = a^ 
&c. 
Has autem ^quationes ejufdem funt formas atque 
^Equationes ad Cofinus, quamquam natura omnino 
diflideant. 
Sit r radius Circuli, / Cofinus arcus cujiuflibet 
dati, x Cofinus alterius arcus, qui fit ad priorem ut 
1 ad n. 
10. erit x~L 
2°. 2 xx — rr — rU 
30. 4^3 — 3 rrx — rrU 
4°. 8 x 0 * — 8 r rx x — 
5°. 1 6 x s — 2or + 5 r^x — r^l. 
6 o. 3 2 x 6 '— 48 r 1 8 r* x x — r 6 = r* l. 
7°. 64X 7 ™ xi2r^ 5 + 56r 4 # 3 “~7r x~r 6 1 . 
&c« P p p Hamm 
