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ANALYTICAL TABLE OF CONTENTS.

PART I.

GENERAL PRINCIPLES AND FUNDAMENTAL METHODS.

CHAPTER I. Definitions and Methods.

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(24) Tallies.

16 (29) Rope, &c..

24

19

(30) Rods..

24

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(32) Measuring-wheel

24

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(33) Measuring Angles,.

25

25

21 | (34) Noting the Measurements

CHAPTER III. Drawing the Map.

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(56) Horizontal measurement.

(57) Unit of content...

CHAPTER IV.

(58) Reductions......

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40 (70) Second Method, Geometrically 45 40 (71) Division into triangles. ... 45

(59) Table of Decimals of an acre. 41 (72) Graphical multiplication... 47

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(63) First Method, Arithmetically. 43 (77) Third Method, Instrumentally 50

METHODS OF CALCULATION.

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CHAPTER V. Obstacles to Measurement in Chain Surveying.

(138) The obstacles to Alinement and Measurement...

(139) LAND GEOMETRY..

Problems on Perpendiculars.

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(140) PROBLEM 1. To erect a perpendicular at any point of a line......... 97

2.

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when the point is at or near the

end of the line

when the line is inaccessible

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4. To let fall a perpendicular from a given point to a given line 99

(143)

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when the point is nearly oppo

site to the end of the line... 100 when the point is inaccessible.. 101 when the line is inaccessible... 101

Problems on Parallels.

(160) PROBLEM 1. To run a line from a given point parallel to a given line. 102 (165)

2.

Do.

when the line is inaccessible

.....

103

ARTICLE

OBSTACLES TO ALINEMENT.

PAGE
105

A. To prolong a line

(169) By ranging with rods

(171) By perpendiculars.... 106
(172) By equilateral triangles... 106
(173) By symmetrical triangles.. 107
B. To interpolate points in a line..

(177) Signals

(178) Ranging

(179) Across a valley

(180) Over a hill.

€ 109

109 | (181) With a single person
109 (182) On water

..... 111

111

.. 110 (183) Through a wood.

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110 (184) To an invisible intersection. 112

OBSTACLES TO MEASUREMENT.

A. When both ends of the line are accessible

(186) By perpendiculars..... 113 | (189) By transversals.

(187) By equilateral triangles... 113 (190) In a town

(188) By symmetrical triangles.. 114

B. When one end of the line is inaccessible...........

113

114

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. 115

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(199) By harmonic division

(200) To an inaccessible line.... 118
|(201) To an inacc. intersection.. 118

117

....

... 119

(196) By symmetrical triangles.. 116

C. When both ends of the line are inaccessible......

(202) By similar triangles..

(203) By parallels..

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(204) By a parallelogram....... 119

119 | (205) By symmetrical triangles.. 120

INACCESSIBLE AREAS......

121

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(303) By the North Star when at

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Line of no variation

Lines of equal variation.. 200
Magnetic Pole....

200

its extreme elongation.. 194 | (311) To correct magn. bearings. 200

Table of times

Observations..

195 (312) To survey a line with true

... 199

196

bearings...

208

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