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To express gradients per cent. (page 332), in angular measure, multiply the rate per cent. by 34.3; the product will be given in minutes of a degree.

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If the gradient per cent. be multiplied by 57.14, the result will be expressed in hundredths of a degree.

SOUND.

At freezing temperature, 32 degrees Fahrenheit, in calm air, the velocity of sound may be assumed 1100 feet per second. For lower temperatures subtract, and for higher add, a half foot per degree.

The intensity of sound varies inversely as the square of the distance. The velocity varies directly as the temperature. It is nearly four times as great in water as in air; and in wood ten to sixteen times as great.

AMERICAN AND FRENCH EQUIVALENTS.

LINEAR MEASURE.

1 inch = 2.54 centimetres; 1 centimetre = .394 inches. = .3048 metres: 1 metre 3.2809 feet.

1 foot

1 yard

=

=

3 feet.9144 metres; 1 metre = 1.0936 yards.

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1 square inch = 6.4515 square centimetres.

1 square centimetre = 0.1550 square inches.

1 square foot

= 0.929 square metres.

1 square metre = 1.19659 square yards.

1 square acre = 43560 square feet 4840 square yards. 1 square hectare = 2.4711 acres = 11960 square yards.

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1 square kilometre .3861 square miles.

1 square mile = 2.5899 square kilometres.

1 square rod = 272.25 square feet = .00259 hectares.

AMERICAN AND FRENCH EQUIVALENTS.

CUBIC MEASURE.

1 cubic inch = 16.383 cubic centimetres.

1 cubic centimetre = .0610 cubic inches.
1 cubic foot 28.316 cubic decimetres.
i cubic decimetre = .0353 cubic feet.
1 cubic yard = .7645 cubic metres.
1 cubic metre = 1.308 cubic yards.

INDEX.

Abbreviations explained

Acres, roods, and perches in square feet, Table VI.

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PAGE

Curves, compound, -

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to find radius, length, degree, apex distance, chord, mid-
ordinate, and external secant.

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with transit and chain

hints as to field-work

protractor for

slackening grade on .
terminal

Curves, simple, location of,-

how to proceed when the P. C. is inaccessible

to shift the P. C. in order to strike a fixed tangent

to change radius from same P. C. in order to strike a fixed tan-

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how to proceed when the P. C. C. is inaccessible

161

51

. 52, 56

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96

97

94

127, 128

95

to compound a curve in order to strike a fixed tangent

98

to shift a P. C. C. in order to strike a fixed tangent

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to compound into a tangent intersecting main curve on concave
side

102

to compound into a tangent intersecting main curve on convex

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angles unequal, tangent points fixed, radii equal
divergent tangents, radii equal, advancing towards intersection

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to shift a P. R. C. in order to strike a fixed tangent

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to connect curves of contrary flexure by short tangents
to locate a Y from a tangent

from a convex curve

. 52, 55

145, 146

89

103

104

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to substitute a curve for a tangent connecting two curves

109

Curves, miscellaneous-continued.

trackmen's table of curves and spring of rails

vertical curves, to calculate

to project

Datum in levelling

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Decimals of an acre per 100 feet for various widths, Table IV.
Deflection angles and distances explained

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PAGE

143

36

39

27

151

50

57, 64, 68

68

82

52, 55
145, 146

81

50

155

130, 132
135, 136

141

142

30

54

269

148

153

79, 85

27

70

33, 34, 35

129

130

135

136

132

133

134

134

12

14

15

49

87

332

86

81

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