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of moments of inertia, 266 of number of rails, pairs of

angle bars, and bolts per mile of track, 236 of number of ties per mile of track, 237

of number of track bolts in a keg, 237

of quantities of ingredients for concrete, 316

of radii and deflections, 160 of railroad spikes per mile of track, 237

of relations among the functions of an angle, 23 of requirements for highgrade cements, 308 of rolling friction for different roadway surfaces, 274

of safe loads on earth subfoundations, 333

of shearing and bearing values of rivets, 282

Table of shrinkage of earthwork, 217

of spaces between ends.
rails, 238

of specific gravities, 347
of standard thicknesses and
weights of cast-iron pipe,
380

of superelevation of outer
rail on curves,
171
of sun's parallax in altitude,
152

of tensile strength of cement
mortars, 311

of time of upper culmination of Polaris, 141

of ultimate resistance of chain cables, 303

of ultimate strength of concrete, 318

of ultimate strengths of metals, 276

of ultimate strengths of
woods, 278

of velocity and discharge
for brick sewers, 387
of velocity and discharge
for circular pipe sewers,
386
of velocity and discharge
for egg-shaped sewers,
388

of weight and strength of
brick, 305

of weight of rails required per mile of track, 236 of weights and dimensions of standard rails, 235 Tables for special constants for reinforced-concrete beams, 326, 327

for transition spirals, 180 to
189

Metric conversion, 6
of coefficients and angles of
friction for miscellaneous
materials, 273

of properties of reinforced-
concrete beams, 323

of weights and measures, 1 to 8

Stadia reduction, 99 to 106

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Tangent deflection, 165 deflection, Application of chord and, 166 distance, 162

distance of transition spiral, 178

Point of, 162

Telford's system of macadam roads, 398

Temperature, Corrections for,

131

stress, 286

Tensile stress, 275
Tension, Hoop, 281

Three-arm protractor, 127

13 -level ground, Field notes for, 205

-level sections in earthwork, 202

-point problem in planetable survey, 110

Throw of a railroad switch,
240

Ties per mile of track, Table
of number of, 237
Timbers, Switch, 256
Time, 141

To change local into stand-
ard, 143

Toe of a railroad switch, 240
Topographic surveying, Sta-
dia method of, 116
surveying, 112
Track bolts in a keg, Number
of, 237
Curved, 238
Trackwork, 234
Transit, Adjustments of, 44
Engineer's, 39
field work, 49

Laying out a curve with,
163

method of topographic sur-
veying, 112
of a star, 141
surveying, 39

surveying, Special problems
in, 66

Surveyor's, 39
vernier, 42

Transition spiral, Definition of, 172

Transition spiral field work, 179

spiral, Tangent distance of, 178

spirals, Tables of, 180 to 189 Trapezium, 11 Trapezoid, 11

Trapezoidal rule for finding area, 12

Traverse, Definition of, 51
Traversing, Methods of, 51
Triangle, 10

Adjustment of measured
angles of a, 137
Solution of, 20

Triangles, Formulas for solution of oblique, 25

Formulas for solution of right, 24

Trigonometric formulas, 20
functions, 18, 19

leveling, Problems in, 90
Trigonometry, 18
Troy weight, 3
True bearing, 38

Turning point in leveling,
Definition of, 85

Turnout dimensions for point
switches, 245
Switch in a, 240
Turnouts, 240

from the outer side of
curved track, 247

Table of dimensions of stub switch, 244

to the inner side of curved track, 248

Two-point problem in planetable survey, 110

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.Tp.

36 square miles (6 mi. square). = 1 township .

sq. mi. A. sq. ch. sq. rd.

1=640=6,400 102,400

sq. li.

64,000,000

The acre contains 4,840 sq. yd., or 43,560 sq. ft., and is equal to the area of a square measuring 208.71 ft. on a side.

Other terms are the pole or perch (P.), which is equal to 1 sq. rd. and the rood (R.), which is equal to 40 sq. rd.

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