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, Particularlry Adapted to the Use of Schools
John Richardson, 1817 - Plane trigonometry - 206 pages
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Common terms and phrases
ABCD according acres adjacent 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 manner measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius rectangle remainder Required the area right angles right line root RULE running scale Secant side AC Sine square station subtract survey taken Tang Tangent triangle triangle ABC
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 50 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 24 - 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 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 27 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 84 - 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 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.