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OO

CALCULATIONS TO ASCERTAIN THE

TRACT 26.'

8. For the sum of the sines below o in the s.e. quarter.

Ring

Radii.

Sum 0Deps.

^34.2=Sum olTangs

1

2

3

4 5

6

7

8

9

10

11

12

(Sum ofDiffs.

1

333f

1510

4-530

51

51 47 43 40 35

27 21

17

13

11

1

357

2

1000

4120

4-120

28

28

28 28 28 27 25 21

17

13

8

1

252

3

1667

6510

3-906

21

21

21 21 21 21

21

19

16

13

9

1

205

4.

2333

8070

3-459

16

16

15'15 15 15

14 14

13

10

6

1

15Q

5

3000

8990

2-997

9

9

9

9 9

9

9

9

9

8

5

1

95

6

3667

9280

2-531

5

5

5

5 5

5

5

5

6

6

4

1

57

7

4333

8440

1-948

2

2

2

2 2

2

2

2

3

4

3

1

27

8

5000

7490

1-498

1

1

1

1 1

1

1

1

1

2

2

u

14

9

5667

6630

1-170

1

. 1

1

1

1

1

6

10

6333

6070

958

1

1

1

1

1

5

11

7 000

5110

730

1 .

.

1

1

1

1

5

32

7667

4210

549

1

.

1

.

1

3

13

8333

3540

425

1

1

1

3

14

9000

3370

374

1

1

1

3

15

9667

3020

313

,

1

m

1

2

16

10333

2680

259

.

.

1

1

2

17

11000

2310

210

.

1

1.

18

11667

1975

169

.

«

.

1

1

19

12333

1730

140

.

.

.

1

1

20

13000

1520

117

.

1

1

30-403

~ sum of the tangents.

1

1-190

1-igO :

sum of the differences.

1

29-213 :

= sum of the sines.

0 . For the sum of the sines

above

P

10. For the

sum

of

the sines above p

in the N- w. quarter.

in

the n.

E.

quarter

4

2333

10

004

1

333

T

10

030

5

3CO0

15

5

2

1000

10

10

6

3667

15

4

3

1667

15

9

7

4333

15

. 3

4

2333

60

26

8 ;

5000

15

3

5

3000

40

13

3-010 =

sum of

6

3667

5

2

the -tangents, or Sum of the sines, as

0 090 :

sum. of

they have no difference m this

qua

the tangents,

or sum

of the sines, they

drant.

being equal in this quadrant.