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112

OX CUBIC EQUATIOXS

TRACT 28.

A = 3

= -33333

U =

2.5i*

6.9c 2 A

=02857

8. lift®C ~~ 12'. 15c*

B

- - 647

D

14 . 17/j 2 ^

18.21c 2 C

= 188

20.23 Ifl

E = -

24.27 c 2

D

= 62

F =

26 . 29 b*

- : - E

30 . 33c 2

= 22

32 .3 5b-

G =-

36.39c 2

F

= 8

H

38.41ft 2 ^

42.45c 2 G

= 3

44 . 47 b*1 48 . 51c 2

H

= 1

K.=

50.531' 2 t

54 . 57c 2

= 1

+ -34051

-03071

- -03071

30980

2

61960

_ -

- - log.

T-7921114

V 729

V 350

0-1062198

the least root

= -79128

T-8983312

114. Then, since the terms of the hatter series are foundby multiplying the terms of the former by the fractions -f,

9 IS 2 1

t> TT9 try

&c, they will be thus :

o x A.

TOOOOO

E = |b

5143

/ = it c

00882

$ = TT D

=

232

£ = It e

=

73

£ = F

=

25

V = rf G

=

9

® = HH

=

4

i = ifl

=

1

+ 1-05404 - -00965

- 0-00965

1-04439 - - - - log. 0-0188627

£/4375 . 0-2734963

-v/3 .- 0-2385606

last series ± 3'39564 ------ 0-5309196

4- the first + 0-39564

greatest root + 3-79128middle root 3-00000