## A Treatise on Surveying: Containing the Theory and Practice : to which is Prefixed a Perspicuous System of Plane Trigonometry : the Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples, Particularly Adapted to the Use of Schools |

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Page 83

The

greatest difference between the bearing and reverse bearing of a line , a mile in

length , is only 44 " . In higher latitudes the difference is greater . Southing of a

line ...

The

**Difference of Latitude**, or the Northing or the latitude of Philadelphia thegreatest difference between the bearing and reverse bearing of a line , a mile in

length , is only 44 " . In higher latitudes the difference is greater . Southing of a

line ...

Page 84

77 , be a meridian passing through the end A , of the line AB , and Bb be

perpendicular to NS , then is Ab the

The Departure or the Eusting or Westing of a line is the distance that one end is

further ...

77 , be a meridian passing through the end A , of the line AB , and Bb be

perpendicular to NS , then is Ab the

**difference of latitude**or southing of AB . 10.The Departure or the Eusting or Westing of a line is the distance that one end is

further ...

Page 85

ferences of

distances . ... westings ; or , if , though not exactly equal , they are very nearly so ,

we may conclude that the survey has been correctly made ; as very small

ferences of

**latitude**and the departures , computed to different courses anddistances . ... westings ; or , if , though not exactly equal , they are very nearly so ,

we may conclude that the survey has been correctly made ; as very small

**differences**... Page 86

When the errors in latitude and departure fall within the limits just mentioned ,

they should be properly apportioned among the several latitudes * and ... In order

to conciseness of expression ,

When the errors in latitude and departure fall within the limits just mentioned ,

they should be properly apportioned among the several latitudes * and ... In order

to conciseness of expression ,

**difference of latitude**is frequently PROBLEM II . Page 98

N. 713 ° W. PROBLEM X. Of the bearing , Distance ,

Departure , any two being given , to find the other two . RULE . When the bearing

and distance are given . As Rad . : cos . of bearing :: distance : dif . of latitude .

N. 713 ° W. PROBLEM X. Of the bearing , Distance ,

**Difference of Latitude**andDeparture , any two being given , to find the other two . RULE . When the bearing

and distance are given . As Rad . : cos . of bearing :: distance : dif . of latitude .

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### Common terms and phrases

acres adjustment angle assumed base bearings and distances Calculation called centre chains changed Co-secant Secant Co-sine Co-tang column Construction contained correction corresponding decimal DEMONSTRATION departure describe diff difference of latitude direction dist divide division line draw east equal EXAMPLES feet field figure give given greater ground half hand height Hence horizontal indicated join length less logarithm manner measured meeting meridian middle multiplier Note object observed obtained opposite parallel passing perches perpendicular plane plate position PROBLEM radius ratio remainder right angles right line RULE running scale screws side Sine square stake stand stations straight subtract surface survey taken Tangent telescope tract of land triangle triangle ABC vernier

### Popular passages

Page 33 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.

Page 42 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.

Page 77 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.

Page 23 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.

Page 118 - PROBLEM I. To find the area of a parallelogram; whether it be a square, a rectangle, a rhombus, or a rhomboides. RULE.* Multiply the length by the perpendicular height, and the product will be the area.

Page 125 - From half the sum of the three sides, subtract each side severally; multiply the half sum, and the three remainders together, and the square root of the product will be the area required. Example. — Required the area of a triangle, whose sides are 50, 40, and 30 feet. 50 + 40+30 ; — 60, half the sum of the three sides.

Page 26 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 34 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.

Page 24 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.

Page 16 - BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.