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CONTENTS
INTRODUCTION.
PAGE
1
Enumeration of the necessary Drawing Instruments
Description and use of the Protractor .
Definitions
6
.
7
a
8
GEOMETRICAL PROBLEMS.
To describe an Equilateral Triangle
To erect a Perpendicular
To measure any angle by the scale of Chords
To erect a perpendicular at the end of a line
To bisect a given line
To let fall a Perpendicular .
To bisect a given Angle
when the inclination of the two
sides only can be obtained
To draw a Line parallel to a given line
To divide a given line into any number of equal parts
Having three sides given, to construct a Triangle
To describe a Square upon a given line . :
To construct a Trapezoid
To construct a Trapezium, having the sides and diagonal
given
9
10
11
12
To draw a Tangent to the Circle from a given point in the
circumference
from a point without it
To describe a Circle through three given points .
To find a third Proportional to two given lines
To find a fourth to three
To find a mean proportional between two
To divide a given line into proportional parts
USEFUL THEOREMS
13
14
16
PRELIMINARY OBSERVATIONS.
Value of the Acre
Prob. I.—To bring Acres into Roods and Perches
Prob. II.To bring Chains into Acres
19
20
21
MENSURATION.
To find the area of a Triangle, when the base and perpen
dicular height are given .
22
when the three sides are given 23
To find the area of a Quadrilateral right angled figure 23
To find the area of a Trapezoid
24
To find the area of a parallelogram whose angles are not
right angles.
25
To find the area of a Trapezium
26
To find the area of an irregular Polygon
27
To find the circumference of a Circle
To find the Length of an Arc
To find the area of a Circle
28
CHAIN SURVEYING.
CHAP. I.  On the Chain
To measure a straight line with the Chain
Important Observations to Young Beginners
29
30
CHAP. II.The Offset Staff
CHAP. III.The Cross Staff
CHAP. IV.The Field Book
The Boundaries of Property
CHAP. V.–Survey of a Field of three sides
of four sides
Example 1.Field Notes.
On Plotting :
Plotting the Notes of the Example given
Example 2.Field Notes
How to Plot them
Mode of Laying off the Offsets.
Example 1
49
Example 2
51
Computation of Acres
52
by offsets at every chain
53
by giving and taking, or compensation lines
54
Practical Examples of Fields of various shapes, with Field
Notes and Diagrams Plotted to Scale, from No. 1 to
No. 10
5569
Diagram No. 11.Survey of a River
70
No. 12.–Survey of a Field from the outside 72
Areas of each
74
Explanatory Remarks
75
CHAP. VI.Practical Example of Survey of several fields . 78
Notes.
79
CHAP. VII.Explanatory Remarks
87
Areas
93
CHAP. VIII.Reduction of Customary to Statute Measure,
and vice versa.
English Measure.
Different Lengths of the Perch
94

CHAP. I.—The Theodolite
The working of it
To take an angle of Elevation or depression
Parallax
The Vernier
CHAP. II.—The method of using it.
by the needle
by the back angle
Its application.
Traversing
Example of Traversing (with Notes and Diagrams)
Notes only of another Example
Road Surveying
Modes of taking offsets to houses, &c.Example 1
Second application.
by two stations
Example .
Two other Examples.No. 1.
No. 2.
Answers to each
USEFUL AND PRACTICAL PROBLEMS.
To measure a Base Line across a River
129
To measure the width of a River by a Base Line along side
of it
. 130
To find the distance of one object from another, where a river
divides them, without using the Theodolite
131
To carry on the range of a line, when a house or building
intervenes
132
To ascertain the height of an object, when the base is
accessible
133
When the base is inaccessible, but when DB can be measured
away from the object in a line with the observer and the
object
134
When the line DB cannot be measured
. 135
PART THE THIRD.
The Circumferentor.
CHAP. I.Its Description
. 137
The Division of it
, 138
139
To obtain the Latitude and Departure geometrically, when
the length and bearing of a line are given
140
To find the bearing of a line by the Circumferentor
141
CHAP. II.—To find the true bearing of a line, the magnetic
bearing and the variation being given
142
The bearings of two lines being given, to determine the
angle between them
145
Practical Example
146
Check upon the bearings
147
CHAP. III.Surveying with the Circumferentor
148
Survey of Wood
. 149