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Curves, miecellaneous - continued.

trackmen's table of curves and spring of rails
vertical curves, to calculate

to project

143
36

39

Datum in levelling
Decimals of an acre per 100 feet for various widths, Table V,
Deflection angles and distances explained

to find . .
short rule for sub-deflections

limit in field-practice
Degree of curve, to calculate.

to find on ground.
Deviations from project admissible on location
Distances, tangential and deflection, defined

table of
of frogs from toe of switch

tables of . ...

[blocks in formation]

Elevation of outer rail on curves

table of
Excavation and embankment, to stake out .
External secants, to find

of a 1o curve, Table XV.
Extreme elongations of North Star, Table II.

269

150

Feet in decimals of a mile, Table VIII. .
Field-work, suggestions concerning
Field-book, form of, for level

for transit

for slope stakes
Frogs and switches

rules for angles and distances
table of, switch-rails straight

switch-rails curved
plain rules for locating, switch-rails straight

switch-rails curved
on narrow gauges

patterns for .
Functions, trigonometrical, defined

logarithmic, of arcs, to find

153
79, 85

27

70
33, 34, 35

129
130
133
136
132
133
134
134
12
14

General propositions in trigonometry

as to circles
Grade, to slacken on curves

rise per mile, Table XVII.
Grade lines, how to project on map

how to trace in field.

15
49
87
317
86
81

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Level, to adjust .
Leveller, duties of.
Levelling, art of

by barometer and thermometer

correction for curvature and refraction
• form for field-book

rules for exact work
rules for survey and location

suggestions concerning .
Location, problems in, field

admissible errors on ground
form of record for
projects, hints concerning
of terminal curves

of a Y.
Logarithms explained

multiplication by
division by
of numbers, to find

Table XII.
roots and powers by
Logarithmic sines, tangents, &c., to find

table of, XIII.

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Maps, contour, utility of

notes for.

not sufficient for intelligent projects .
Meridian, to establish

by equal shadows
by North Star

times of passage of North Star, Table I.
Multiplication by logarithms .

85
82, 83

79
44
45
45
149

5

12

Natural sines, tangents, &c., defined

Table XIV.
Needle, magnetic, to adjust

to re-magnetize.
hints as to management

bearings should always be noted
North Star, to establish meridian by

times of meridian passage, Table I.
extreme elongations of, Table II.

243, 256

41
44
44
82
45
149
150

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Rails, table of spring for trackmen
Radius of a curve, how to find

of a turnout curve
plain rule for, on curves

for narrow gauges
Radii and their logarithms, Table X.
Records, forms for
Refraction and curvature, correction for
Reversed curves. See Curves,
Rise per mile of various grades, Table XVII.
Rod, levelling

how to read.
Rodman, duties of
Roods and perches in decimals of an acre, Table IV.
Roots and powers of numbers by logarithms

143
52, 54, 56

129
133
134
155
81
28

317
28
42
83
151

7

.

Senior assistant, duties of .

equipment for
Sines defined
Shadows, to fix true north by
Slopes for topography, Table XVI.
Slopeman, duties of
Slope stakes, to set

for earth excavation.
for embankment
for hillsides and rock

field record of work
Spring of rails, table for trackmen
Squares, cubes, and roots of numbers, Table XI.
Supplement of an angle
Survey, form for record

to facilitate
Switch-rails, angles of

tables of

80
81
12
44
315
84
30
31
33
35
34
143
161
12
81
82

130
135, 136

.

PAGE
Tangent of a 1o curve, Table XV.

269
to curve from a fixed point, how to locate .

108
to two curves on the ground, how to locate

109
Tangential angles and distances explained .

50
how to find.

57, 58, 61
Thermometer, levelling by

29
Track problems

115
Trackmen's plain rules for finding frog distances

132, 133
tables of turnouts

135, 136
plain rules for laying off turnouts with tape-measure and pins 137
crossings on straigbt lines and on curves

139
elevation of outer rail .

142
instructions how to put in missing stakes on curves with tape-
measure

144
table of curves and spring of rails

143
explanation of the trackmen's tables

144
how to find the degree of a curve .

145, 146
Transit, adjustment of

40
cross-bairs

24
Transitman, duties of

82
Triangles, solution of,
two angles and a side given

16
two sides and an angle given

17
three sides given

18
Triangles, right-angled, solution of

19
Trigonometry, plane.

12
general propositions

15
Turnouts. See Trackmen.

Vernier explained.

on transit
Versed sines defined

to calculate

of a lo curve, Table XV.
Vertical curves, to calculate

to project

42
43

12
54, 58
269
36

39

TABLES:

Ordinates of a 1o curve
For locating terminal curves
Tangents between curves of contrary flexure
Turnouts, switch-rails straight

switch-rails curved
Elevation of outer rail on curves
Curves and spring of rails
I. Time of meridian passage of North Star

60
88
89
135
136
142
143
149

PAGE
III. Azimuths of North Star, and their natural tangents

150
IV. Roods and perches in decimal parts of an acre

151
V. Decimals of an acre in one chain length of 100 feet, and of
various widths

151
VI. Acres, roods, and perches in square feet

152
VII. Circular arcs to radius of 1

152
VIII. Feet in decimals of a mile.

153
IX. Inches reduced to decimal parts of a foot

153
X. Radii and their logarithms, middle ordinates, and deflection
distances

155
XI. Squares, cubes, roots, and reciprocals of numbers, from 1 to
1,042 .

161
XII. Logarithms of numbers from 1 to 10,000

179
XIII. Logarithmic sines, cosines, tangents, and cotangents

197
XIV. Natural sines and cosines

243
Natural tangents and cotangents

256
XV. Chords, versed sines, external secants, and tangents of a l'

269
XVI. Slopes for topography

315
XVII. Rise per mile of various grades .

317

curve.

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