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UNIVERSITY OF COLOMBO - SRI LANKA

BACHELOR OF ARTS - FIRST YEAR

SECOND SEMESTER F INAL E X A M I N A T I O N - 2018

G Y G 1202 - CARTOGRAPHY

THREE (03) HOURS

Including the F I R S T question, answer T H R E E (03) questions only

Tracing papers, graph papers, a district boundary map o f Sri Lanka and drawing papers w i l l be provided. Necessary mathematical tables are attached to the question paper. Use o f calculators is allowed.

01. I . a) Define map scale? (01 Mark)

b) Name any two types o f scales that you have learnt. (01 Mark)

c) What are the possible calculations based on the scale on a map? (02 Marks)

I I . Convert the following scales in to representative fractions. a) 4 inch to 4 chains b) 1 inch to 10 chains c) 3 centimeters to 30 decameters (06 Marks)

I I I . Convert the following scales in to linear scales a) 2 centimeter to 1 kilometer b) 1 centimeter to 10,000 decimeter c) 0.5 inch to 15,840 inches (06 Marks)

IV. Answer the following questions based on map no. 01 .

Map no. 01

< 20 cm > Scale: - 1:25,000

1

a) Calculate the length and the width o f the new map in centimeters after reducing the map no. 01 by 50%.

b) Calculate the width and length o f the new map in centimeters after enlarged the map no. 01 by five times.

c) Compute the scale o f the new map which you have enlarged in above IV. b).

V. a) Explain in brief the meaning o f longitudes and Latitudes?

b) Name the two types o f coordinate systems that can be identified on a metric map o f Sri Lanka.

c) Select any coordinate system that only belongs to Sri Lanka and explain its formation using sketch diagrams.

V I . a) State the formula that use for calculating the slope by degrees and minutes.

b) Using the formula mentioned in V I . a) calculate the slope from A to B, marked on the map no. 02.

c) Explain in brief the practical importance o f slope calculation.

(02 Marks)

(02 marks)

(02 Marks)

(02 Marks)

(01 Mark)

(03 Marks)

(01 Mark)

(02 marks)

(03 marks)

Map no. 02

1:50,000 Distance from A to B = 0.5 km Height in meters

2

1

VI I . Answer the following questions based on map no 03.

a) Number the streams o f the river basin using the Stealer's method. (02 Marks)

b) Calculate the average bifurcation ratio (xRb) o f the river basin. (02 marks)

c) Briefly explain the importance o f bifurcation ratio to identify the characteristics o f a river basin. (02 marks)

V I I I . a) State four (04) differences between Zenithal projections and Cylindrical projections. (02 Marks)

b) Using the information given below construct the elevation diagram for Conical Projection with Standard Parallel One.

• Latitude Interval = 10°

• Longitude Interval = 10°

• Standard Parallel = 60° N

• Scale = 1: 125,000,000 (04 marks)

IX. Answer the following questions using diagram 01

Diagram 0 1 : -

90° N

Equator

90° S Scale = 1: 125,000,000

1

a) Calculate the circumference o f the 15 North latitude. (02 Marks)

b) Calculate the amount o f enlargement o f the 15° latitude o f the cylindrical equal distance projection. (02 marks)

c) State two advantages o f the above projection. (02 marks)

X. Answer the following questions based on Table no. 01 .

Table no. 0 1 : The cultivated land area o f three perennial crops in several districts ( in acres)

District Tea Rubber Coconut Gampaha 524 3,281 44,030 Colombo 154 17,450 7,292 Kaluthara 7,170 73,764 11,276 Galle 25,629 16,497 12,543 Mathara 23,704 9,219 14,398 Hambanthota 440 175 20,733

Source: - Department o f Census and Statistics, 2005

a) Name two suitable cartographic techniques to represent the data in table no. 01 . (02 Marks)

b) Select one method you have mentioned above and explain the suitability o f the method with a sketch diagram. (04 marks)

c) Briefly explain the influence o f extreme values on cartographic representations o f data. (02 Marks)

02. I . Construct the Zenithal Central Projection to illustrate the Northern Hemisphere in mathematical basis using the information given below. L imi t your projection up to North latitude 30°.

• Scale = 1:125,000,000 • Longitude Interval = 10°

• Latitude Interval = 10° (15 Marks)

I I . Discuss the advantages and disadvantages o f the projection. (05 marks)

1

4

03. I .

I I .

I I I .

IV.

04. I .

I I .

I I I .

IV.

Briefly explain the importance o f cross sections o f the terrain. (02 Marks)

Explain the similarities and dissimilarities between simple cross profile and projected cross profile. (04 marks)

Construct a block diagram based on map no. 04. (Map should be attached to the answer script) (12Marks)

Briefly explain the relationship between constructing cross profiles and block diagrams. (02 Marks)

Calculate the housing density by each district using data provided in table 02. (The table should be attached to the answer script) (04 Marks)

>

Classify all districts in to five classes based on housing density values imd prepare a table. (04 marks)

Based on above classification prepare a choropleth map to represent the spatial distribution of housing density by districts in Sri Lanka using map no 05. (Map should be attached to the answer script) ^Qg Marks)

Interpret the map which you have prepared in 04.111. (04 Marks)

5

Map no. 03

1:25,000

Map no. 04

1:20,000

7

i

Map no. 05: - District Map of Sri Lanka

18 NATURAL SINES

O' 6 ' 1 3 ' 1 8 ' 2 4 ' 3 0 ' 3 6 ' 4 2 ' 4 8 ' 6 4 ' 1' 2' 3' 4' 5'

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NATURAL SINES 19

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20 NATURAL COSINES S U B T S A O T NATURAL COSINES S U B T E . A C X 21

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XX •9816 0 8 1 3 98x0 9806 9803 9799 9796 9792 9789 9785 X X 3 3 3

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14 •97°3 9699 9694 9690 9686 9681 9677 9673 9668 9664 X X 2 3 4 »S •9659 9 6 5 5 9650 9646 9641 9636 9632 9627 9623 96x7 I 3 2 3 4

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36 •8988 8980 8973 8965 825Z 8949 8942 8934 8926 8918 X 3 4 5 6

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3 4 .•8290 838x 827X 8261 8231 8341 8331 8331 83X1 8202 3 3 3 7 8 3 5 •8x93 8x8x 8x71 8x61 8151 8x41 8:31 8X31 8xxx 8100 3 3 5 7 8

3 6 37

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3 9 •7771 7760 7749 7738 7737 7716 7705 7694 7683 7673 3 4 6 7 9 40 •76£o 7649 7638 7627 7615 7604 7593 7581 7570 7559 3 4 6 8 9

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0 ' 6 ' 1 2 ' 1 8 ' 2 4 ' 30 ' 3 6 ' 4 2 ' 4 8 ' 5 4 ' 1' 2' 3' 4' 6'

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6 9 0 9 6 7 8 3 6 6 5 3

6 8 9 6 6 7 6 9 6639

6881 6756 6626

6871 6 7 4 3 6 6 x 3

6 8 5 8 6 7 3 0 6 6 0 0

6845 6717 6587

6833 6704 6574

3 3 2

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6 6 7

8 9 9

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6547 6414

6534 6401

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6508 6374

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6 2 6 6 6 1 2 9 5 9 9 0

6 3 5 3 6115 5 9 7 6

6 3 3 9 6101 5 9 6 3

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6198 6 0 6 0 5 9 3 0

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6170 6032 5893

3

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5548 5402 5255

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5 5 5

8 8 8

10 10 10

13 13 X3

•4384 •4236

4368 4310

4 3 5 3 4 x 9 5

4 3 3 7 4X79

4321 4x63

43°5 4X47

4 2 8 9 4131

4 2 7 4 4X15

4258 4099

4242 4083

3 3

5 5

8 8

XI 11

X3 13

•4067 •3907 •3746

4051 3891 3730

4<>35 3875 37x4

4 0 1 9 3859. 3»97

4 0 0 3 3843 3681

3987 3827 3665

3971 3811 3 6 4 9

3 9 5 5 3795 3 6 3 3

3939 3778 3 6 1 6

3923 3762 3600

3 3 3

5 5 5

8 8 8

11 1 1

1 1

13 13 14

•3584 •3420

3567 34«>4

355X 3 3 8 7

3 5 3 5 3 3 7 X

35X8 3355

3302 3338

3 4 8 6 3 3 2 3

3 4 6 9 33°5

3453 3 2 8 9

3437 3272

3

3

5 5

8 8

11 IX

x-1 «4

•3256 .3090 •3924

3»39 3<>74 ?9°7

3223

3057 2 8 9 0

3 3 0 6 3 0 4 0 3 8 7 4

3190 3024 2857

3X73 3007 2840

3 1 3 6 3 9 9 0 3 8 3 3

3 1 4 0 3 9 7 4 3 8 0 7

3x23 2957 2 7 9 0

3107 2940 2773

3 3 3

6 6 6

8 8 8

I I I I I I

14 14 14

•2756 •3588

2 7 4 ° 3571

2 7 2 3 3 5 3 4

3 7 0 6 3 3 3 8

2689 3531

3673 3304

3 6 5 6 3 4 8 7

3 6 3 9 347° '

2622 * 4 5 3

2605 3436

3 3

6

6 8 8

I I I I

X4 X4

•2419 •3350 •3079

3403 2233 2063

2 3 8 5 2215 3045

3 3 6 8 2 1 9 8 3028

233X 3181 son

2334 3164 1994

2 3 x 7 3 1 4 7 X977

3 3 0 0 2 1 3 0 1959

2284 2113 X942

2267 3096 1925

3 3 3

6 6

6

8 9

9

I I I I I I

X4 14 14

•1908 •1736

189X-17x9

; 8 7 4 1702

1857 1685

1840 1668

1823 1650

1805 1633

1788 1616

1771 1599

X754 1582

3 • 3

6

6 9 9

I I ii 14

*4

•1564 •1392 •1219

1547 1374 I30I

1530 1357 1184

1513 1340 1167

1495 1323 " 4 9

1478 i3<>5 1 1 3 3

1461 1288 1 1 x 5

1444 1371 1097

1426 1253 xo8o

I 4 ° 9 1236 T (Vi 1 " s*

3 3 3

6 6 6

9 9 9

12 11 12

14 *4 14

•1043 •0873

1028 0 8 5 4

XOXI 0 8 3 7

0 9 9 3 0 8 x 9

0 9 7 6 0802

0958 0783

0 0 4 1 0 7 6 7

0 9 3 4 0 7 5 0

0 9 0 6 0733

0889 ©7X5

3 3

6 6

9 9

12 13

14 14

•0698 ^ 5 2 3 •0349

O68O 0 5 0 6 0 3 3 2

0 6 6 3 0 4 8 8 0 3 x 4

0 6 4 5 0 4 7 1 0 3 9 7

0638 <M54 0379

0610 0 4 3 6 0263

0 5 9 3 0 4 1 9 0 3 4 4

0 5 7 6 0401 0 2 2 7

0 5 3 8 0 3 8 4 0 3 0 9

0541 O 3 6 6 O I 9 2

3 3 3

6 6 6

9 •

9 9

13 13 13

15 15 15

•o*75 O I 5 7 0 x 4 0 OI33 0x05 0087 0 0 7 0 0053 0 0 3 5 OOI7 3 6 9 1 2 13

0 ' 8 ' 1 2 ' 18 ' 24 ' 3 0 ' 3 6 ' 4 2 ' 4 8 ' 54 ' 1' 2 ' 3 ' 4 '

N A I U K A L T A N G E N T S NATURAL TANGENTS 23

. a r t -

, -A-

0 ' . 6 ' 1 3 ' 1 8 ' 34 " 3 0 ' 3 6 ' 4 3 ' 4 8 ' 54 ' 1' 2' 3' 4' 5' O' 6 ' 1 3 ' 18 ' 3 4 ' 3 0 ' 3 6 ' 4 3 ' 4 8 ' 5 4 ' 1' 2' 3' 4 : 5' - e O 0 0 0 0 0 0 0 1 7 0 0 3 5 0 0 5 2 0 0 7 0 0 0 8 7 0 1 0 5 OI33 0 x 4 0 0157 3 6 9 13 15

#

• 4 5

4 6

3

1-0000 1-0355 1-0724 I-II06

0 0 3 5 0392 0761 "45

0 0 7 0

0 4 3 8 0 7 9 9 1184

0x0$ 0 4 6 4

0 8 3 7 1334

0141

0501 0 8 7 5 1363

0176

0538 0 9 1 3 1303

03X3 0 5 7 5 0951

1343

0 2 4 7 0 6 x 2 0 9 9 0 1383

0 2 8 3

0 6 4 9 1038 X423,

0319

0 6 8 6 1067 X463

6

6 6, 7

12 18 18 19 20

2 4 3°

I 2 3

4 5

0-0175/ 0-0349 O-O524

0-0699 0-0875

0 1 9 2 0 3 6 7 ° 5 4 * 0 7 1 7 0 8 9 3 '

0 2 0 9 0 3 8 4 0 5 5 9

0 7 3 4 0 9 1 0

0 2 2 7 0 4 0 2 0 5 7 7

0 7 5 2 0 9 3 8

0344 0419 0594 0 7 6 9 0945

0263 0 4 3 7 0 6 1 3

0 3 7 9

0 4 5 4 0 6 2 9

0 8 0 3 0 9 8 1

O297 O473 0 6 4 7

0833 9998

0 3 1 4 0 4 8 9 0 6 6 4

0 8 4 0 10x6

0333 0507 0682

3 3 3

3 3

6 6

9 9 9

9 9

12, 13 12

15 13 15

15 15

#

• 4 5

4 6

3

1-0000 1-0355 1-0724 I-II06

0 0 3 5 0392 0761 "45

0 0 7 0

0 4 3 8 0 7 9 9 1184

0x0$ 0 4 6 4

0 8 3 7 1334

0141

0501 0 8 7 5 1363

0176

0538 0 9 1 3 1303

03X3 0 5 7 5 0951

1343

0 2 4 7 0 6 x 2 0 9 9 0 1383

0 2 8 3

0 6 4 9 1038 X423,

0319

0 6 8 6 1067 X463

6

6 6, 7

12 13 13

18 18 19 20

25 25 2 6

3 1

32 33

I 2 3

4 5

0-0175/ 0-0349 O-O524

0-0699 0-0875

0 1 9 2 0 3 6 7 ° 5 4 * 0 7 1 7 0 8 9 3 '

0 2 0 9 0 3 8 4 0 5 5 9

0 7 3 4 0 9 1 0

0 2 2 7 0 4 0 2 0 5 7 7

0 7 5 2 0 9 3 8

0344 0419 0594 0 7 6 9 0945

0 7 8 7 0 9 6 3

0 3 7 9

0 4 5 4 0 6 2 9

0 8 0 3 0 9 8 1

O297 O473 0 6 4 7

0833 9998

0 3 1 4 0 4 8 9 0 6 6 4

0 8 4 0 10x6

0857 X033

3 3 3

3 3

6 6

9 9 9

9 9

12 13

15 13 15

15 15 '»'• ' 1-1918

1544 i 9 6 0

1585 2002

1636 3 0 4 5

1667 3088

1708 2131

I75O. 2174

1.792. 3318

X833 2361

1875 2305

7 7

• X4 1 4

21 23

28 2 9 si

6

I 0-I05X 0 - I 2 2 8 O-I405

1069 1246 1423-

1086 1263

.1441

1x04 1281 1459

1122 1299 »477

"39 I 3 X Z "

X495

" 5 7 X334 1512

"75 1352 1530

1193 1370 X548

X2I0 1388 1566

3 3 3

6 6 6

9 9 9

12 12 13

15 15 X5

5x 5 3 53

1-2349 1-3799 1-3370

2393 3846. 33X?

* 4 3 7 2S93 3 3 6 7

2482 3938 3416

2527 2985 3465

3572 3033 3514

2617 3079 3564

3663 3127 36x3

2708 3x73 3663

3753 3333 3 7 x 3

8 8 8

15 1 6 15

2 3

2 4

25

3 0

3 * 33

38 39 4"

9 10

0-1584 0-1763

1602 X78x

1630 1799

1638 1817

1655 1835

X673 1853

-1691 1871

1769 1890

1737 1908

X745 I 9 3 6

3 3

6 6

9 9

12 12

X5 15

54 55 5 6 57 5 8

1-3764 1-4381

1-4826 x-5399 1-6003

3814 4335 4882 5458 6 0 6 6

3865 4388

4 9 3 8 5517 6128

3 9 x 6 4442

4994 5577 6191

3968 4 4 9 6

5051 5637 6255

4019 4550 5108 5697 63x9

4071 4605

5166 5757 6383

4 x 2 4 4659

.5224 5818 6 4 4 7

4 x 7 6 4 7 x 5 5282 5880 6512

4 2 2 9 4 7 7 0

5 3 4 0 5941 6 3 7 7

9 9

to 10 11

17 : 8

1 9 20 21

2 6

2 7 2 g

30 32

1* 38 4 0

43

43 45

V> 5 ° 53

XI 12 13

t 4 IS

0-1944 0-2126 0*2309

0-5493 0-2679

1962 2144

2327 ' . 5 1 2

2698

1980 2163 2345

2530 3717

1098 2 1 8 0 2 3 6 4

3 5 4 9 2 7 3 6

3016 2199 3383

2568

«754

2035 3317 24OI

2 5 8 6 2773

2 0 3 3 2 2 3 5 2 4 x 9 2 6 0 5 2792

3071 3354 2438 2 6 2 3

281X

3089 3273 2456 3643 2830

3 I O 7

2290 2475 2 6 6 l 2849

3

3 3

3

3

6 6 6

9

9 9

9 9

12 12 12

1 5

13 X5 16 16

54 55 5 6 57 5 8

1-3764 1-4381

1-4826 x-5399 1-6003

3814 4335 4882 5458 6 0 6 6

3865 4388

4 9 3 8 5517 6128

3 9 x 6 4442

4994 5577 6191

3968 4 4 9 6

5051 5637 6255

4019 4550 5108 5697 63x9

4071 4605

5166 5757 6383

4 x 2 4 4659

.5224 5818 6 4 4 7

4 x 7 6 4 7 x 5 5282 5880 6512

4 2 2 9 4 7 7 0

5 3 4 0 5941 6 3 7 7

9 9

to 10 11

17 : 8

1 9 20 21

2 6

2 7 2 g

30 32

1* 38 4 0

43

43 45

V> 5 ° 53

XI 12 13

t 4 IS

0-1944 0-2126 0*2309

0-5493 0-2679

1962 2144

2327 ' . 5 1 2

2698

1980 2163 2345

2530 3717

1098 2 1 8 0 2 3 6 4

3 5 4 9 2 7 3 6

3016 2199 3383

2568

«754

2035 3317 24OI

2 5 8 6 2773

2 0 3 3 2 2 3 5 2 4 x 9 2 6 0 5 2792

3071 3354 2438 2 6 2 3

281X

3089 3273 2456 3643 2830

3 I O 7

2290 2475 2 6 6 l 2849

3

3 3

3

3

6 6

9

9 9

9 9

12

13

1 5

13 X5 16 16

59 6 0

1-6643 1-7321

6709 7391

6 7 7 5 7461

6843 7533

6 9 0 9 7603

6977 7675

7045 7747

7 " 3 7820

7182 7893

7251 7966

11 13

2 3

2 4 It 4 5 48

56 6 0

16

\l 0 : 2 ? 6 > 0-3057 0-3349

2 8 8 6 3 0 7 6 3 2 6 9

2905 3 0 9 6 3288

2 9 2 4 3115 3 3 0 7

3 9 4 3 3134 3327

3963 3X53 3346

3981 3172 3365

3000 3191 3385

3019 3311 3404

3038 3230 3424

3 3 3

6 6 6

9 10 10

13 13

* I 3

16 16 16

61 6 s 6 3

1-8040 1-8807 1-9626

8115 8887 9 7 "

8 x 9 0 8 9 6 7 9797

8365 9°47 9 8 8 3

8 3 4 * 9138

9970

8418 9210 0067

8495 9292 0146

8572 9375 0288

8 6 5 0 9458 0323

8728 9542 0418

X3 14 X5

2 6 27 2 9

38 4 1

4 4

5 1 55 5 8

%% 73

19 2 0

0 3 4 4 3 0-3640

3463 3 6 5 9

3482 3679

3 5 0 2 3 6 9 9

3522 37X9

3541 3739

3 5 6 i 3759

3 5 8 i 3779

3600 3799

3620 38X9

3 3

7 7

10 10

13 13

16 17

$ 4

6 5 66

3-

3 - 0 5 0 3 3-1445

2- 3460 3- 3559 3-4751

0594 1543 3566 3673 4876

0 6 8 6 1642

3 6 7 3 3 7 8 9 5 0 0 2

0778 1743

2781 39o6 5 x 3 9

0 8 7 3 1843

3 8 8 9 4 0 2 3 5257

0965 1943

3998 4143 5386

1060 2045

3109 4 3 6 3

55X7

1X53 3x48

3 3 2 0 43*3 5 6 4 9

1251 2351

3332 4504 5783

X348 3355

3445 4 6 3 7 5 9 i 6

16 ? 7

1 8 , 3 0 32

3 i 34 37 4 ° 4 3

4 7 5 '

55 6 0 65

6 3 6 8

73 79 87

t 91 99

108 31 23 3 3 2 4 2 5

0-3839. 0-4040 0-4245 0-4452 0-4663

3 8 5 9 4061 4 2 6 5

4 4 7 3 4684

3879 4081 4 3 8 6

4494 4706

3 8 9 9 4101 4 3 0 7

4 5 1 5 4 7 2 7

3919 4133 4327 4536 4748

3939 4x42 4348

4557 4770

3959 4X63 4 3 6 9

4378 4791

3979 4x83 4 3 9 0

4 3 9 9 4813

4 0 0 0 4204 4 4 " 4631 4834

"4020 4224 4431

4642 4856

3 3 3 4 4

7 7 7

7 7

10 • 10 10

I I I I

13 X4

X7 X7 X7 18 18

4 '•' •

$ 4

6 5 66

3-

3 - 0 5 0 3 3-1445

2- 3460 3- 3559 3-4751

0594 1543 3566 3673 4876

0 6 8 6 1642

3 6 7 3 3 7 8 9 5 0 0 2

0778 1743

2781 39o6 5 x 3 9

0 8 7 3 1843

3 8 8 9 4 0 2 3 5257

0965 1943

3998 4143 5386

1060 2045

3109 4 3 6 3

55X7

1X53 3x48

3 3 2 0 43*3 5 6 4 9

1251 2351

3332 4504 5783

X348 3355

3445 4 6 3 7 5 9 i 6

16 ? 7

1 8 , 3 0 32

3 i 34 37 4 ° 4 3

4 7 5 '

55 6 0 65

6 3 6 8

73 79 87

t 91 99

108 31 23 3 3 2 4 2 5

0-3839. 0-4040 0-4245 0-4452 0-4663

3 8 5 9 4061 4 2 6 5

4 4 7 3 4684

3879 4081 4 3 8 6

4494 4706

3 8 9 9 4101 4 3 0 7

4 5 1 5 4 7 2 7

3919 4133 4327 4536 4748

3939 4x42 4348

4557 4770

3959 4X63 4 3 6 9

4378 4791

3979 4x83 4 3 9 0

4 3 9 9 4813

4 0 0 0 4204 4 4 " 4631 4834

"4020 4224 4431

4642 4856

3 3 3 4 4

7 7 7

7 7

10 • 10 10

I I I I

1 4

14 1 4

X7 X7 X7 18 18

i 6 9 7 0

3-6051 2*7475

6187 7625

6325 7776

6464 7929

6605 8083

6746 8239

6889 8397 r& 7*79

8716 7336 8878

2 ? 2 6

47 5 2

71 78

y j 104

1 1 9 130

J>6

11 0-4877 0-5095 0 5 3 1 7

4 8 9 9 5 " 7

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4921 5139 5362

4 9 4 2 5161 5 3 8 4

4964 5184 5407

4 9 8 6 5206 543o

3 0 0 8 5238 5 4 5 2

5 0 2 9 5250 5475

5051 5272 5498

5073 5295 5520

4 4 4

7

I I I I t I I

13 X 5 X5

18 18 19

* 7 * 7 3 7 3

3-9043 3-0777. 3-3709

9208 0961

3 9 * 4

9375 1146 3 x 2 2

9544 *334 3332

9 7 x 4 1534 3544

9887 17x6 3759

0061 1910

3977

0237 2 1 0 6 4X97

0416 3 3 0 3 4 4 * 0

0696 3 5 0 6 4 6 4 6

2 9 3 2 3 6

58 6 4

7 3

87

108

1 1 6 129 144

\\\ 180

3 9

3? 0-5543 0-5774

5 5 6 6 5797

5 5 8 9 5 8 2 0

5 6 1 3 5 8 4 4

5635 5867

5658 5890

5681 5 9 X 4

5704 5938

5727 596X

5750 5985

4 4

8 8

12 12

15 16

19 30

7 4 7 5

7 6

11

3- 4874 3 7 3 2 X 4- 0 x 0 8

4 33X5 4-7046

5105 7583 0408 3663 7453

5339 7848

0 7 x 3 4 0 X 5 7867

5576 8118

I023 4373 8288

5 8 x 6 8391

1335 4737 8716

6059 8667

X653 3x07 9x52

6305 8 9 4 7 1976 54*3 9594

6554 9 2 3 3 3 3 0 3 3864 0046

6 8 0 6 9 5 3 0

2635 6252 0604

7062 9812

2972 6 6 4 6 0970

4X 4 6

53 6 2

73

81 93

107 124 146

122 X39 160 186 2 2 0

163 186

2 4 !

293

203 232

267 310 366

3 1 3* 33 34 3 5

0-6009 0-6249 0-6494

0-6745 0-7003

6 0 3 2 6 2 7 3 6 5 1 9 6771 7028

6 0 5 6 6297 6544 6 7 9 6 7054

6 0 8 0 6 3 2 2 6 5 6 9

6 8 2 2 7 0 8 0

6104 6346 6 5 9 4

6 8 4 7 7 1 0 7

6128 6371 6 6 x 9

6873

6153 6 3 9 5 6 6 4 4

6 8 9 9 7 X 5 9

6176 6 4 2 0 6 6 6 9

6 3 0 0 6 4 4 5 6 6 0 1

6224 6 4 6 9 6730

6976 7239

4 4 4

4 4

8 8 8

9 9

12 13 X3

13 X3

16 16 17

11

30 30 31 21 2 2

7 4 7 5

7 6

11

3- 4874 3 7 3 2 X 4- 0 x 0 8

4 33X5 4-7046

5105 7583 0408 3663 7453

5339 7848

0 7 x 3 4 0 X 5 7867

5576 8118

I023 4373 8288

5 8 x 6 8391

1335 4737 8716

6059 8667

X653 3x07 9x52

6305 8 9 4 7 1976 54*3 9594

6554 9 2 3 3 3 3 0 3 3864 0046

6 8 0 6 9 5 3 0

2635 6252 0604

7062 9812

2972 6 6 4 6 0970

4X 4 6

53 6 2

73

81 93

107 124 146

122 X39 160 186 2 2 0

163 186

2 4 !

293

203 232

267 310 366

3 1 3* 33 34 3 5

0-6009 0-6249 0-6494

0-6745 0-7003

6 0 3 2 6 2 7 3 6 5 1 9 6771 7028

6 0 5 6 6297 6544 6 7 9 6 7054

6 0 8 0 6 3 2 2 6 5 6 9

6 8 2 2 7 0 8 0

6104 6346 6 5 9 4

6 8 4 7 7 1 0 7

6128 6371 6 6 x 9

6873

6153 6 3 9 5 6 6 4 4

6 8 9 9 7 X 5 9

6924 7 * 8 6

w y 4 6 9 5 0 73X3

6224 6 4 6 9 6730

6976 7239

4 4 4

4 4

8 8 8

9 9

12 13 X3

13 X3

16 16 17

11

30 30 31 21 2 2 ' m 11 5 - I 4 4 6

5-671 1929

5 - 7 3 ° 2432

5-789 3934 3435

5 ' 9 i 3 3955

5 9 7 6 4 4 8 6 5 0 2 6

v-'IGy 1.

5578 6-174

6149 6 - 2 4 3

87 X75 263 33° 438

3 «

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7293 7563) 7841

7319 7590 7869

7 I 4 S 7618 7898

7373 7646 7926

7400 7673 7954

7 4 2 7 7701 7983

7454 7739 SOI3

7 4 8 I 7757 8 0 4 0

7508 7785 8069

5 5 5

9 9 9

X4 x-r 14

i8< 18 19

2 3 23 2 4

81 8 3 »3

6- 314 7- 115 8- 144

6- 386 7- 207 8- 264

6- 4 6 0 7- 3 0 0 8- 3 8 6

6- 533 7- 396 8- 5 1 3

6-6x2

I 0 4 3

6-691 7 5 9 6 8-777

6- 773 7- 7 0 ° 8- 9 x 5

6- 855 7- 806 9-058

6- 9 4 0 7- 9 1 6 9-205

7- 0 2 6 8- 0 2 8 9 357

3 9 4 °

0-8098 0-8391

8137 8421

8156 8451

8185 8481

83x4 85x1

8243 8541

8 2 7 3 857X

8303 86OI

8332 8633

8 3 6 I 8663

5 5

10 10

X3 X5

2 0 30 3 4

2 5 «fr 8 4 8 5 86

&

9-5X xi-43 I 4 - 3 0 19-08 28-64

9 6 8 11-66

14-67 19-71. 30-14

9-84 11-91 15-06 ao-45 31-83

10-02 12-16

X5-46 3I-SO -»3-69

XO-20 12-43

15-89 23-03 35-80

XO-39 13-71

16-35 3 3 - 9 0 38-19

10-58 13-00

1 6 8 3 33-86 40-92

I 0 - 7 8 X3-30

X7-34 24-90 4 4 0 7

XO-99 X3-63

17-89 36-03

47*74

11-20

13-95 18-46 27-37 53-08

Differences an trustworthy

4« 4 2 4 3

4 4

0-8693 0-9004 .©-93*5 •--9657

8724 9 0 3 6 9 3 3 8 9691 "'•">.'V '"'

8754 9067

9391

9725

8 7 8 5 9 0 9 9 9 4 2 4 9759

8816 9x31 9457 9793

8857 9 1 6 3 9 4 9 " 9 8 3 7

8 8 7 8 9X93 9 5 2 3 9 8 6 I

8 9 I O 9338 9 5 3 6 O896

8941 9 3 6 0

9 3 9 0

9 9 3 0

8972 9293 9 6 2 3

9965

5 5

10 11 XX XI

16 16 17 »7

31 31 33 3 3

2 6

u 3 9

8 4 8 5 86

&

9-5X xi-43 I 4 - 3 0 19-08 28-64

9 6 8 11-66

14-67 19-71. 30-14

9-84 11-91 15-06 ao-45 31-83

10-02 12-16

X5-46 3I-SO -»3-69

XO-20 12-43

15-89 23-03 35-80

XO-39 13-71

16-35 3 3 - 9 0 38-19

10-58 13-00

1 6 8 3 33-86 40-92

I 0 - 7 8 X3-30

X7-34 24-90 4 4 0 7

XO-99 X3-63

17-89 36-03

47*74

11-20

13-95 18-46 27-37 53-08

4« 4 2 4 3

4 4

0-8693 0-9004 .©-93*5 •--9657

8724 9 0 3 6 9 3 3 8 9691 "'•">.'V '"'

8754 9067

9391

9725

8 7 8 5 9 0 9 9 9 4 2 4 9759

8816 9x31 9457 9793

8857 9 1 6 3 9 4 9 " 9 8 3 7

8 8 7 8 9X93 9 5 2 3 9 8 6 I

8 9 I O 9338 9 5 3 6 O896

8941 9 3 6 0

9 3 9 0

9 9 3 0

8972 9293 9 6 2 3

9965 6

10 11 XX XI

16 16 17 »7

31 31 33 3 3

2 6

u 3 9 8 9 57-29 63-66. 71-63 81-85 95*49 114-6 143-3 191-0 386-5 573-0

O' 6 ' 13 ' 1 8 ' 3 4 ' 3 0 ' 3 6 ' 4 3 ' 4 8 ' 5 4 ' 1" 2' 3' 4' 5' O' 6 ' 1 3 ' 18 ' 3 4 ' 3 0 ' 3 6 ' 4 2 ' 4 8 ' 5 4 ' 1' 2' 3 ' 4

6 '

The black type indicates that the integer changes.

The black type indioate* that the integer onanges.

28 NATURAL SECANTS |-"tr\ i >»» u r n - u w w n n I w

I I T ? 13

IS 16 I ? 18

19

,20

22 33 24

2 6 27

29 3 0

32 133

34 35 36 31 38

3 9 40

4t 4 3

43

141

O' 6 ' 12 18' 24 ' 3 0 ' 36 ' 4 2 ' 4 8 ' 5 4 ' 1' 2' 3' 4' 5' >

T-OOOO 0000 0000 0000 0000 0000 ooox ooox OOOX ooox

0002 0 0 0 7 0 0 1 3

0002 0007 0016

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