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OBSTACLES IN ANGULAR SURVEYING.

CHAPTER I. Perpendiculars and Parallels.

(402) To erect a perpendicular to a line at a given point.

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(403) To erect a perpendicular to an inaccessible line, at a given point of it 280 (404) To let fall a perpendicular to a line, from a given point.

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(405) To let fall a perpendicular to a line, from an inaccessible point.

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(406) To let fall a perpendicular to an inaccessible line from a given point.. 281 (407) To trace a line through a given point parallel to a given line

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(408) To trace a line through a given point parallel to an inaccessible line.. 281

ARTICLE

CHAPTER II.

Obstacles to Alinement.

A. To prolong a line

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(409) General method
(410) By perpendiculars
(411) By an equilateral triangle. 282
(412) By triangulation....

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PAGE 282

(413) When the line to be pro-
longed is inaccessible... 283
(414) To prolong a line with only
an angular instrument... 283

B. To interpolate points in a line ....

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....

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284 | (418) By Latitudes and Depart-
ures, with transit..
(419) By similar triangles
(420) By triangulation

Obstacles to Measurement.

A. When both ends of the line are accessible

(421) Previous means

(422) By triangulation

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287 | (423) A broken base
287|(424) By angles to known points. 288

B. When one end of the line is inaccessible ....
288 | (429) To find the distance from a
given point to an inacces-
sible line....

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C. When both ends of the line are inaccessible.......... 290

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(440) CASE 1. When the length and bearing of any one side are wanting. CASE 2. When the length of one side and the bearing of another are wanting

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When the deficient sides are separated from each other..
Otherwise by changing the meridian

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(444)

CASE 3. When the lengths of two sides are wanting..
When the deficient sides adjoin each other...

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(445)

(4.16)

When the deficient sides are separated from each other
Otherwise by changing the meridian...

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447)

CASE 4. When the bearings of two sides are wanting..
When the deficient sides adjoin each other.

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(448)

When the deficient sides are separated from each other.....

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PART XI.

LAYING OUT, PARTING OFF, AND DIVIDING UP LAND.

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E. By a line passing through a given point within the field.

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(529) By lines running in any given direction

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(530) By lines starting from an angle ....

(531) By lines starting from a point in a side.

(535) By lines passing through a point within the triangle

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851

(540) Do.

the point being to be found....

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(541) Do.

(512) By the

the point to be equidistant from the angles shortest possible line.....

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854

Division of Rectangles.

(543) By lines parallel to a side....

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(551) By lines starting from an angle ...
(552) By lines starting from points in a side.

ARTICLB

(544) By lines parallel to the bases.

(546) By lines starting from points in a side.

Division of Quadrilaterals.

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Division of Trapezoids.

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(554) By lines passing through a point within the figure

Division of Polygons.

(555) By lines running in any given direction...
(556) By lines starting from an angle......
(557) By lines starting from a point on a side..

(558) By lines passing through a point within the figure
(559) Other Problems

PART XII.

UNITED STATES' PUBLIC LANDS.

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