## A Treatise on Surveying: In which the Theory and Practice are Fully Explained. Preceded by a Short Treatise on Logarithms: and Also by a Compendious System of Plane Trigonometry. The Whole Illustrated by Numerous Examples |

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A Treatise on Surveying: In Which the Theory and Practice Are Fully ... Samuel Alsop No preview available - 2018 |

### Common terms and phrases

ABCD acres adjacent angles adjacent sides bearings and distances calculate the area centre chains circle column compass correction Cosine Cotang decimal deflection determine Diff difference of latitude Dist divided division line double departure draw east equal error EXAMPLES field-notes figure given area given line given point Given the bearings horizontal hour angle inch instrument latitude and departure length line running logarithm mean proportional measured meridian method multiplier needle number of degrees offsets opposite parallel parallelogram perpendicular plat plate Polaris Problem protractor quotient radius ratio rectangle right angles right ascension rule scale sight sine square station straight line subtract survey surveyor Take the difference tance Tang tangent telescope theodolite tract of land transit trapezium triangle Trigonometry vernier whence

### Popular passages

Page 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Page 27 - Root of a Number, Divide the logarithm of the number by the index of the required root.

Page 33 - When one straight line meets another, so as to make two adjacent angles equal, each of these angles is called a right angle; and the first line is said to be perpendicular to the second.

Page 195 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.

Page 73 - ... will be — 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 37 - If two triangles have two sides and the included angle of one respectively equal to the sides and the included angle of the other, the triangles are congruent.

Page 126 - If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, they are equal in all their parts.

Page 39 - The angle at the centre of a circle is double the angle at the circumference on the same arc.

Page 39 - The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of both the other sides.