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 SchoolsKimber & Sharpless, 1828 - 216 pages |
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Page 10
... figures in the integral part of the corresponding natural number . The index of the logarithm of a number , consisting in whole , or in part of integers , is affirmative ; but if the number be a decimal , the index is negative , and is ...
... figures in the integral part of the corresponding natural number . The index of the logarithm of a number , consisting in whole , or in part of integers , is affirmative ; but if the number be a decimal , the index is negative , and is ...
Page 11
... figures in the integral part of the given num- ber ; also , when the given number is wholly a decimal , the index is negative , and must be one more than the number of the ciphers between the decimal point and first significant figure ...
... figures in the integral part of the given num- ber ; also , when the given number is wholly a decimal , the index is negative , and must be one more than the number of the ciphers between the decimal point and first significant figure ...
Page 12
... figures , find the three left hand figures in the column marked No. as be- fore , and the remaining , or right hand figure at the top of the table ; in the column under this figure , and against the other three , is the decimal part of ...
... figures , find the three left hand figures in the column marked No. as be- fore , and the remaining , or right hand figure at the top of the table ; in the column under this figure , and against the other three , is the decimal part of ...
Page 13
... figures Product To Add Decimal part of the log . · - 11959 11991 32 55 17,60 11959 18 * 11977 As the given number is a decimal , and has one ci- pher between the decimal point and first significant figure , the index must be -2 ...
... figures Product To Add Decimal part of the log . · - 11959 11991 32 55 17,60 11959 18 * 11977 As the given number is a decimal , and has one ci- pher between the decimal point and first significant figure , the index must be -2 ...
Page 14
... figures in the first column , marked No. which are in a line with the logarithm found , together with the figure at ... figures in the number corresponding do not exceed the index by one , annex ciphers to the right hand till they do ...
... figures in the first column , marked No. which are in a line with the logarithm found , together with the figure at ... figures in the number corresponding do not exceed the index by one , annex ciphers to the right hand till they do ...
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere No preview available - 2016 |
Common terms and phrases
100 Distance AB² ABCD ABFD acres adjacent angles ABC 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 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 LatDegDegDegDeg Distance 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 Treatise on Surveying triangle ABC trigonometry two-pole chains
Popular passages
Page 21 - 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 30 - 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 61 - 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 13 - 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 14 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 22 - 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 12 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 109 - Sides are given. 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.. fin half sum of the three sides.
Page 13 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.
Page 108 - 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.