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CALCULATIONS TO ASCERTAIN TIIE

TRA CT 26

54

Rings

1

1 Radii.

Sum ofPerps.

3-f 2 =Sum ofTangs.

Sum ofDiffs.

I

333^

10

0-030

2

1000

15

15

3

10 o '7

5

3

12

7667

40

5

13

8333

60

7

14

gooo

100

11

15

9667

200

21

16

10333

lt)60

190

17

11000

3720

338

18

II667

577 O

495

39

12333

7260

573

20

13000

892 O

086

3. For the sum of the sines above

2'374 = sumof the tangents, or sum of the sines,as the diff. between them are no-thing in this quadrant.

4. For the sum of the sines aboveo in the s.k. quarter

Rings

Radii.

Sum ofPerps.

3-2 =>um ofTangs.

Sum ofDiffs.

16

10333

10

0001

17

11000

230

21

18

1166'7

830

71'

19

12333

1450

11s

20

13000

2130

164

0375 = su. uof the tangents, or of the sines, thediff. being nothing.

5. For the sines below o in the N.w. quarter.

1

1

2

3

6

3667

145

0040

7

4333

970

224

8

5000

2370

474

,

9

5667

4325

76’3

1

1

1

10

6333

5910

933

1

1

1

ll

7000

73 20

1-0/4

1

1

1

12

7667

9280

1-210

2

1

1

13

8333

10140

1-219

2

1

1

14

9000

10700

1-078

1

1

1

15

966'7

11580

1-198

1

1

1

16’

10333

11970

l-15<j

1

1

1

17

11000

12250

i'105

1

1

1

18

11667

12280

1-052

1

1

1

19

12333

12750

1-034

1

20

130QO

13940

10/2

1

6 7 8 Q io 11 12

11

1 11 1

1

1 1

11

1 1

1 .

1 1

1111

1111

1111

13-C35 = sum of the tangents.'101 — sum of the differences.

13-534 = sum of the sines.

5

6

7

9

109109

10

10

88

•101