264

D E

A N A L Y S I

Caput Ter-tium.

- V

Et lic vice hujus, y - nova prodit, y = j - + --

8cc. ferie iftac infinite continuata; adeoque (per Regulameundam) area qusefita abdc aequalis erit ipfi -y - yyy + -yf8ic. ( c ) infinitae etiam feriei, cujus tamen Termini pauci initialifiunt in ufum quemvis fatis exadti, fi modo x fit aliquotiesnor quam b.

2. Eodem modo, fi fit =_y, dividendo prodibit y- 1 +

x*-x* + x* 8cc. Unde (per Regulam Secundam) erit abdc-^'*jx z +\x s -\x lj r\x' ) Scc.

3. Vel fi Terminus xx ponatur in divifiore primus, hoc m 0 ^ 7 ’xx+i, prodibit x~ z -x~ 4 +x~~ 6 —x ~ 8 &:c. pro valore ipfius y ; ^de (per Regulam Secundam) erit BDQ=-A , ~ I .+|Ar~ 3 -yA’ — ^ 5 +-5^Lee. Priori modo procede cum x eft fatis parva, pofteriorifiatis magna fupponitur.

4. Denique fi

2X% — X*

—y ; dividendo prodit 2X*~ < 2 X + 7 ^*

1+^ — 3^

I3X Z + 34.X* Lee. unde erit abdc=|a^-# z + ^x*- y x* Lee.Exempla Radicem Extrahendo.

5. Si fit Vaa+xx =y t radicem fic extraho,

aa + xx (a + -— — + -£-y -

v za 8« J 16<j s

' V

5 ^

I28« 7

Lee.

O +XX

XX +

v>

4 a

\a 8 a 4 + 6 4 » 6

B.

0 + § 7 *

6 4 a 6

* 6 A ' 8

+ 87 + 7 b 7

256«

^ $* x

o — —— +_,

64«® 6 4 a s

Lee.

ztfoa 1 '

filo

cie,