## 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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### Common terms and phrases

100 Distance ABē ABCD ABFD acres adjacent angle ADC base bearings and distances Calculation centre changed bearing Co-secant Secant Co-sine Co-tang column compass decimal degrees DEMONSTRATION diff difference of latitude dist divide division line draw east equal EXAMPLES feet figures find the angle find the area fourth term given angle given area given bearing given number given side Given the bearings hypothenuse John Gummere latitude and departure length line FE logarithm M.
M. Sine measured meridian multiplier natural number off-sets parallelogram perches perpendicular place of beginning pole star prob quired quotient radius rectangle Required the area right line right-angled triangle ROBERT ADRAIN RULE side AC square root station stationary lines subtract take the difference tance Tangent tract of land trapezium triangle ABC trigonometry two-pole chains

### Popular passages

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 35 - 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 44 - 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 79 - 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 56 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.

Page 28 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 36 - 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 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 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 time* therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.