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MAGNETIC VARIATIONS

IN THE UNITED STATES.

[From a Report by C. A. SCHOTT, Assistant U. S Coast Survey]. See Silliman's Journal, May, 1860, p. 335; and U. S. Coast Survey Report for 1859, App. 24, p. 296.

W. and E. indicate West and East Declinations. They are given below in Degrees and tenths.

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Minimum

7.6

6.8

1765 1782 1813 1800 1779 1794 | 1801 1787 1795 1799 1805 1798

1.9 W.

1815

6.13.1

Mobile, Ala.

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New York City.

Oxford, N. Y.

Philadelphia, Pa.

Washington, DC.

W. W. W. W.

Williamsburg, Va.

ANALYTICAL TABLE OF CONTENTS.

PART I.

GENERAL PRINCIPLES AND FUNDAMENTAL METHODS.

CHAPTER I. Definitions and Methods.

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19 (32) Measuring-wheel

24

25

25

(20) Gunter's Chain..

(21) Pins.

(22) Staves..

(23) How to chain

(24) Tallies..

19 (33) Measuring Angles

21 (34) Noting the Measurements

CHAPTER III. Drawing the Map.

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(75) Do. into parallelograms 49 (76) Addition of widths

50

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

(64) Rectangles

(65) Triangles...

(66) Parallelograms.

(67) Trapezoids..

43

43 (78) Reduction to one triangle..
(84) Special instruments....

50

54

44 (87) Fourth Method, Trigonometri

44

cally

56

ARTICLE

PART II.

CHAIN SURVEYING.

CHAPTER I. Surveying by Diagonals.

(90) A three-sided field.
(91) A four-sided field..
(92) A many-sided field.
(93) How to divide a field.

PAGE ARTICLE

58

Keeping the field-notes
59 | (94) By sketch.
60 (95) In columns.
61|(96-97) Field-books

CHAPTER II. Surveying by Tie-lines.

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CHAPTER III. Surveying by Perpendiculars.

To set out Perpendiculars. (104) By Surveyor's Cross. (107) By Optical Square (108) By the Chain.

....

Diagonals and Perpendiculars.

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Offsets.

....

69 70

Taking offsets..

75

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(110) A three-sided field.

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(111) A four-sided field

73 (121)

When equidistant

80

(112) A many-sided field

(113) By one diagonal.

CHAPTER IV. Surveying

Erroneous rules.

Reducing to one triangle 81
Equalizing....

by the methods combined.

74 (122)

81

75 (123)

(124)

81

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CHAPTER V. Obstacles to Measurement in Chain Surveying.

(138) The obstacles to Alinement and Measurement..

(139) LAND GEOMETRY......

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(140) PROBLEM 1. To erect a perpendicular at any point of a line......... 97 when the point is at or near the

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end of the line 98 when the line is inaccessible ... 99

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

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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.

A. To prolong a line

.....

PAGR 105

107

(169) By ranging with rods
(171) By perpendiculars........ 106
(172) By equilateral triangles. 106 (176) By the complete quadri-
(173) By symmetrical triangles.. 107

105 | (174) By transversals
(175) By harmonic conjugates... 108-

(177) Signals

lateral...

. 108

B. To interpolate points in a line.

.. 109

109 | (181) With a single person

111

(178) Ranging
(179) Across a valley

109 (182) On water

111

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(180) Over a hill

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.....

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

(202) By similar triangles. (203) By parallels..

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(290) A three-sided field

182

(297) Mascheroni's Theorem.... 188

(291) A four-sided field........ 183

CHAPTER VII. The Variation of the Magnetic Needle.

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