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 4
... notes at the bottom of the page . Each rule is ex emplified by one wrought example ; and the most of them by several unwrought examples , with the answers annexed . In the laying out and dividing of land , which forms the most difficult ...
... notes at the bottom of the page . Each rule is ex emplified by one wrought example ; and the most of them by several unwrought examples , with the answers annexed . In the laying out and dividing of land , which forms the most difficult ...
Page 17
... Note . - When the index is affirmative , it is not neces- sary to place any sign before it ; but when it is negative , the sign must not be omitted . EXAMPLES . 1. Required the continued product of 349.17 , 25.43 , 93521 and .00576 ...
... Note . - When the index is affirmative , it is not neces- sary to place any sign before it ; but when it is negative , the sign must not be omitted . EXAMPLES . 1. Required the continued product of 349.17 , 25.43 , 93521 and .00576 ...
Page 19
... Note . When the divisor exceeds the dividend , the question must be wrought by the rule given in the next case . EXAMPLES . 1. Required the quotient of 3450 divided by 23 . Logarithm of 3450 is 3.53782 Do. 23 is 1.36173 Quotient 150 ...
... Note . When the divisor exceeds the dividend , the question must be wrought by the rule given in the next case . EXAMPLES . 1. Required the quotient of 3450 divided by 23 . Logarithm of 3450 is 3.53782 Do. 23 is 1.36173 Quotient 150 ...
Page 21
... Note . When the index of the logarithm is negative , if there be any to carry from the decimal part , instead of adding it to the product of the index and multiplier , subtract it , and the remainder will be the index of the logarithm ...
... Note . When the index of the logarithm is negative , if there be any to carry from the decimal part , instead of adding it to the product of the index and multiplier , subtract it , and the remainder will be the index of the logarithm ...
Page 22
... Note . When the index of the logarithm is negative , and does not exactly contain the divisor , increase the index by a number just sufficient to make it exactly divi- sible by it , and carry the units borrowed , as so many tens , to ...
... Note . When the index of the logarithm is negative , and does not exactly contain the divisor , increase the index by a number just sufficient to make it exactly divi- sible by it , and carry the units borrowed , as so many tens , to ...
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Common terms and phrases
ABCD acres adjacent angles axis bearings and distances centre changed bearing Co-secant Secant Co-sine Co-tang decimal diff difference of latitude difference of level dist divide division line draw equal EXAMPLES feet figures find the angles find the area fourth term given angle given area given number given side Given the bearings half height horizontal hypothenuse instrument last problem LatDegDegDeg LatDegDegDegDeg Distance latitude and departure length line FE line of collimation line of level logarithm M.
M. Sine measured meridian multiplier natural number off-sets parallel parallelogram parture perches perpendicular pole star prob quotient radius ratio Required the area right angles right line right-angled triangle RULE screws side AC square root stake stationary lines stations straight line subtract surface of level survey Tangent theodolite tract of land trapezium triangle ABC trigonometry upper telescope vane vernier plate
Popular passages
Page 31 - 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 40 - 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 75 - 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 21 - 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 116 - 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 123 - 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 24 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 32 - 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 22 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 14 - 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.