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 SchoolsThomas, Cowperthwait & Company, 1846 - 266 páginas |
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Página 7
... quotient of the two corresponding terms of the latter . Thus , 0. 1. 2. 3. 4. 5. 6 . 1. 2. 4. 8. 16. 32. 64 . Now 2 + 3 = 5 . And 4 × 8 = 32 . 7. & c . arith . series , or indices . 128. & c . geom . series . also 7-3-4 . and 128-8-16 ...
... quotient of the two corresponding terms of the latter . Thus , 0. 1. 2. 3. 4. 5. 6 . 1. 2. 4. 8. 16. 32. 64 . Now 2 + 3 = 5 . And 4 × 8 = 32 . 7. & c . arith . series , or indices . 128. & c . geom . series . also 7-3-4 . and 128-8-16 ...
Página 15
... quotient to the right hand of the four figures already found , and it will give the natural number required . Thus let it be required to find the natural number corresponding to the logarithm 2.53899 true to five figures ; then , Given ...
... quotient to the right hand of the four figures already found , and it will give the natural number required . Thus let it be required to find the natural number corresponding to the logarithm 2.53899 true to five figures ; then , Given ...
Página 19
... quotient . 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 ...
... quotient . 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 ...
Página 20
... quotient of .7591 divided by 32.147 Logarithm of .7591 is -1.88030 Do. 32.147 is 1.50714 Quotient .02361 Remain . -2.37316 In this example , the index of the divisor , with its sign changed , is -1 , which added to -1 , the index of the ...
... quotient of .7591 divided by 32.147 Logarithm of .7591 is -1.88030 Do. 32.147 is 1.50714 Quotient .02361 Remain . -2.37316 In this example , the index of the divisor , with its sign changed , is -1 , which added to -1 , the index of the ...
Página 21
... quotient of 79.35 divided by .05178 . Ans . 1532.46 . 5. Required the quotient of .5903 divided by .931 . Ans . .63404 . PROBLEM V To involve a number to any power , that is , to find the cube , & c . of a number , logarithmically ...
... quotient of 79.35 divided by .05178 . Ans . 1532.46 . 5. Required the quotient of .5903 divided by .931 . Ans . .63404 . PROBLEM V To involve a number to any power , that is , to find the cube , & c . of a number , logarithmically ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 24 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 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.
Página 22 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Página 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.