tan Atan B.

(1) x == 2 cot 2 A√√/}p.

(2) x=(±cot 2 A + cosec 2 ▲ √/−3) √ §p.

(3) x=

= (±cot 2 A ·

cosec 2 A√3)√ }p.

(m<1.)

x3

Case II.

- px±q=0.

sin B=m.

tan Atan B.

(1) x = == 2 cosec 2 AP.

(2) x = =(+cosec 2 4 + cot 2 A√3)√3p. (3) x= (± cosec 2 A − cot 2 A √√/−3) √ šp.

Case III.

THE IRREDUCIBLE CASE.

x3-px+q=0.

cosec B= m.

A = B.

(1) x=± 2 sin A√/P.

(2) x=±2 sin (60° – A) ✓§p.
(3) x = 2 sin (60°+4)√/ § p.

(m> 1.)

GAUSS'S

SUM AND DIFFERENCE

LOGARITHMS.

0.30606
0.30656

50
51

49

0.30758

49

51 51

0.0400 28149 0.32149 0 041 0 28101 0 32201 0.30707 0042 0 28054 0 32254

50

00430 28c06 0.30809 00440 27959

48

52

47

48

47

48

78

0.32306 0°32359

53 52

53

52

0.0700-26744 0.33744 0.0710*26698

46

46

54

46

54

45

55

46

54

44
44

0.0720*26652 0.33852 0 1020 25302 0*35502 0.0730 26606 0.33906 0.1030 25258 *35558 0.0740 26560 033960 O 1040 25214 *35614

0.1050 25170 0.35670

O 1010 25346 o 33798

44

56

035446

56

56

56

69966

0.1070 25082 0*1080 25038 0.34178

0.106 0.25126 0.34069

44 44

0.35726

0.35782

*35838

44

Diff.