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[blocks in formation]

Logarithm Arithmetical Middle Deflec Tangenof

Comple Ordinate, tion Dis- tial DisRadius.

ment. Chord tance. tance.

100 Feet.

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[blocks in formation]
[blocks in formation]

.236
.255
.273
.291
• 309
327
.345
•364
.382

1.75 1.89 2.04 2.18 2.33 2.47 2.62 2.76 2.91 3.05 3.20 3.34

1.16 1.24 1.31 1.38 1.45 1.53 1.60 1.67

[blocks in formation]

6.241872 6.276635 6.308821 6.338784 6.366805 6.393136 6.417959 6.441435 6.463707 6.484894 6.505094 6.524401 6.542886 6.560620 6.577641 6.594039 6.609825 6.625068 6.639785 6.654018 6.667804 6.681165 6.694133 6.706726

[blocks in formation]

15 20 25 30 35 40 45 50 55

2864.9
2750.3
2644.6
2546.6
2455.7
2371.0
2292.0
2218.1
2148.8
2083.7
2022.4
1964.6

3.457114 3.439380 3.422359 3.405961 3.390175 3.374932 3:360215 3.345982 3.332196 3.318835 3-305867 3.293274

.455 .473 .491 509 .527 . 545 • 564 .582 .600 .618 .636

3.93 4.07 4.22 4.36 4.51

1.74 1.82 1.89 1.96 2.04 2.II 2.18 2.25 2.33 2.40 2.47 2.54

4.65 4.80

[blocks in formation]

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5 10 15 20 25 30 35 40 45 50 55

1910.1
1858.5
1809.6
1763.2
1719.1
1677.2
1637:3
1599.2
1562.9
1528.2
1495.0
1463.2

3.281056 3.269163 3.257584 3.246301 3.235301 3.224585 3.214129 3.203902 3.193931 3.184180 3.174641 3.165303

6.718944 6.730837 6.742416 6.753699 6.764699 6.775415 6.785871 6.796098 6.806069 6.815819 6.825359 6.834607

.655 .673 .691 .709 .727 .745 - 764

782 .800 .818 .836 .855

5.96

6.11

2.62 2.69 2.76 2.84 2.91 2.98 3.05 3.13 3.20 3.27 3.34 3.42

[blocks in formation]
[blocks in formation]
[blocks in formation]
[blocks in formation]
[blocks in formation]

1.16 1.18

6.940701 6.947883 6.954950 6.961897 6.968713 6.975432 6.982090 6.988599 6.995033 7.001348 7.007623 7.013766

4:36 4.43 4.51 4.58 4.65 4.72 4.80 4.87 4.94 5.02 5.09 5.16

9.30 9.45 9.60 9.74 9.89 10.0 10.2 10.3

1.20 1.22 1.24 1.25 1.27

996.9

982.6
968.8

1.29

[blocks in formation]

5.23 5.31 5.38 5.45

5 IO 15 20 25 30

5.52

3.059299 3.052117 3.045050 3.038103 3.031287 3.024568 3.017910 5.011401 3.004967 2.998652 2.992377 2.986234 2.980185 2.974189 2.968296 2.962464 2.956697 2.951046 2.945469 2.939918 2.934448 2.929061 2.923762 2.918502 2.913284 2.908163 2.903090 2.898067 2.893096 2.888236 2.883377 2.878579 2.873844 2.869173 2.864511 2.859918

[blocks in formation]

40 45 50 55

859.9 849.3 839.0 828.9

5.60 5.67 5.74 5.81 5.89 5.96 6.03

7

12.2 12.3 12.5

[blocks in formation]

12.6 12.8

6.39

[blocks in formation]

7.086716 7.091837 7.096910 7.101933 7.106904 7.111764 7.116623 7.121421 7.126156 7.130827 7.135489 7.140082

1.53 1.55 1.56 1.58 1.60 1.62 1.64 1.65 1.67 1.69

6.47 6.54 6.61

12.9 13.1 13.2 13.4 13.5 13.7

6.68 6.76 6.83

1.71 1.73

13.8

6.90

8

1.75

716.8
709.4
702.2
695.1
688.2'

5 10 15 20 25 30 35 40 45 50 55

[blocks in formation]

1.76 1.78 1.80 1.82 1.84 1.85

681.3 674:7 668.1 661.7 655.4 649.3 643.2

[blocks in formation]

1.87 1.89 1.91 1.93 1.95

7.48 7.56 7.63

7.70 7.77

1.96

[blocks in formation]
[blocks in formation]

2.804344 2.800305 2.796366

7.195656 7.199695 7.203634

1.98

15.8

2.00

16.0

7.92 7.99

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338.3

2.529302

7.470698

3.72

29.6

14.8

[blocks in formation]

Logarithm Arithmetical Middle Deflec- Tangenof

Comple Ordinate, tion Dis- tial DisRadius.

ment, Chord tance. tance.

100 Feet.

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]

Engineers accustomed to thinking their degree of curvature with reference to the 100-ft. chain may find it convenient to remember that the degree of curvature, if a 20-metre chain be used, is approximately two-thirds of the foregoing. Thus a 3° metric curve would be about equivalent to a 41° curve laid out with the 100-ft. chain.

A 20-metre chain = 65.618 feet; a 100-ft. chain = 1.524 chains of 20 metres each, one foot being equal to 0.3048 of a metre, and a metre equal to 3.2809 feet.

If a metric curve is to be retraced with a 100-ft. chain, the exact degree of curvature should be ascertained with reference to the radius in feet, as set forth in Art. XVIII.

It is convenient to mark stakes with the even numbers, 2, 4, 6, etc., 'when using the 20-metre chain, distance being thus recorded in tens of metres.

[blocks in formation]

Loga Arithme- Mid. Ord. Deflec Tangenrithm of tical Com- Chord tion Dis- tial DisRadius. 'plement. 20 Metres. tance. tance.

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6.861663
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528.92 2.723390 7.276610
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2.390264 7.609736

2.375041 7.624959 229.26 2.360328 7.639672 214.94 2.332317 7.667683 202.30

2.305996 7.694004
191.07 2.280193 7.719307

2.257751 7.742249
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2.174874 7.825126 143.36 2.156428 i 7.843572 137.63 2.138713 7.861287 132.35 2 121724 7.878276 127.45 2.105310 7.894660 122.91 2.089587 7.910413 118.68

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7.940285 109.29 2,038530 7.961420 104.33 2.018409 7.981591 1.999174

8.000826 95.67 1.980776 8.019224 1.963126

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8.070172 82.06 1.914132 8.085868

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245.62 237 16

[blocks in formation]

3.660

99.81

12

91.86

.4803 .5022 .5241 . 5400

5679 :5897 .6117

3.834 4.008 4.181 4.355 4.528 4.701 4.875

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