#4

CALCULATIONS TO ASCERTAIN THE

TRA CT 26.

3. For the sum of the sines aboveo in the s.w. quarter.

2"374=:sum.of the tangents, or sum of the sines,as the cliff, between them are no-thing in this quadrant.

4. For the sum of the sines above

Rings

Radii.

Sum ofPerps.

3-r2 =Sum ofTangs.

Sum ofDiffs.

Rings

Radii.

Sum ofPerps.

■Sum ofTangs.

Sum ofDiffs.

T

333-^

10

0 030

16

10333

10

O’OOl

2

1000

15

15

1 7

11000

230

21

3

1607

5

3

18

H667

830

71

12

76 67

40

5

10

12333

1450

118

13

8333

6b

7

20

13000

2130

164

14#

gooo

100

11

0*375:

= sum

15

9067

200

21

of'the tangents, or of the sines, the

16

10333

I960

190

diff. being nothing.

n

11000

3720

338

-

18

11667

5770

495

19

12333

7260

573

20

13000

S920

686

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

f

1

*b

3

4

5

0

n

(

8

9

10 11

12

6

3667

145

0 040.

7

4333

970

224

8

5000

2370

474

9

5667

4325

763

1

1

1

1

1

10

6333

5910

933

1

1

1

l

1

1

11

7000

7520

1-074

1

1

1

1

1

1

1

12

7667

9280

1-210

2

1

1

1

1

1

1

1

13

8333

10140

1-219.

2

1

1

1

i

1

1

1

1

14

9000

10700

1078

1

1

1

1

1

*1

i

1

1

15

9667

11580

1-198

1

1

l

1

1

1

1

1

1

1 .

l 6

10333

11970

VJ59

1

1

1

1

1

1

L

1

1

17

11000

12250

i-105

1

1

1

1

1

1

1

1

1

1 .

18

11667

12280

1-052

1

1

1

1

1

1

1

l

1

1

19

12333

12750

1034

,

l

1

i

i

1

1

1

1 .

20

13000

13940

1072

•

1

1

1

1

1

1

1

1 - .

"101 — sum of the differences.

5

6

7910

9

10

9

io

10

88

•101

13’534 — sum of the sines.