## 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 81

The

meridian line passing through one of its ends , and is said to be north so many

degrees east or west , or south so many degrees east or west , according as the

line ...

The

**bearing**of a line is expressed by the angle contained between it , and ameridian line passing through one of its ends , and is said to be north so many

degrees east or west , or south so many degrees east or west , according as the

line ...

Page 103

In NS take any convenient point as A for the place of beginning , and apply the

straight edge of the protractor to the line , with the centre to the point A , and the

arch turned toward the east , because the first

the ...

In NS take any convenient point as A for the place of beginning , and apply the

straight edge of the protractor to the line , with the centre to the point A , and the

arch turned toward the east , because the first

**bearing**is easterly ; then holdingthe ...

Page 107

Find the given

more than 15 ° . Then against the given distance , found in the column of

distances at the side of the table , and under the

at the ...

Find the given

**bearing**at the top or bottom of the table according as it is less ormore than 15 ° . Then against the given distance , found in the column of

distances at the side of the table , and under the

**bearing**, if at the top , or over it ifat the ...

Page 172

... which place against it in the column of north or south latitude according as its

take the difference of their sums , which will be the latitude of the division line AH

...

... which place against it in the column of north or south latitude according as its

**bearing**is north or south ; add together the numbers in each latitude column andtake the difference of their sums , which will be the latitude of the division line AH

...

Page 197

The surveyor ought therefore , at each station , to take a back view to the

preceding one ; and if he arrive at one at which the compass does not reverse

truly , he may conclude , provided no error was committed in taking the

the last ...

The surveyor ought therefore , at each station , to take a back view to the

preceding one ; and if he arrive at one at which the compass does not reverse

truly , he may conclude , provided no error was committed in taking the

**bearing**atthe last ...

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### Common terms and phrases

ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Secant Co-sine Co-tang column Construction contained corresponding Courses decimal DegDegDeg DEMONSTRATION describe difference Dist distance divide division draw east equal EXAMPLES feet field figures find the area given given angle given area given side greater half hand height join latitude and departure length less logarithm measured meeting meridian distance Note Off-sets opposite parallel perches perpendicular preceding PROBLEM radius rectangle remainder Required the area right angled triangle right line root RULE running scale Secant side AC Sine square station subtract survey taken Tang Tangent tract of land triangle triangle ABC twice

### Popular passages

Page 2 - An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the times therein mentioned." And also to the act, entitled " An Act supplementary to an Act, entitled, " An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the time therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and...

Page 97 - To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately.

Page 43 - 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 34 - 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 2 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...

Page 85 - 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 25 - 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 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.

Page 91 - 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 96 - If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC (Fig.