The Field Engineer: A Handy Book of Practice in the Survey, Location, and Track-work of Railroads; Containing a Large Collection of Rules and Tables, Original and Selected, Applicable to Both the Standard and the Narrow Gauge, and Prepared with Special Reference to the Wants of the Young EngineerD. Van Nostrand Company, 1890 - 339 páginas |
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Página 7
... the number , and divide it by the index of the root ; then find the number corresponding to the Example . Find the cube root of 4,096 . Operation resulting logarithm , and it will be the root required . MANNER OF USING THE TABLES . 7.
... the number , and divide it by the index of the root ; then find the number corresponding to the Example . Find the cube root of 4,096 . Operation resulting logarithm , and it will be the root required . MANNER OF USING THE TABLES . 7.
Página 8
... cube root of 4,096 . Operation . Log . 4,096 , 3.612360 ; one - third of this is 1.204120 , to which the corresponding number is 16 , which is the root sought . 12. When the characteristic is negative , and not divisible by the index ...
... cube root of 4,096 . Operation . Log . 4,096 , 3.612360 ; one - third of this is 1.204120 , to which the corresponding number is 16 , which is the root sought . 12. When the characteristic is negative , and not divisible by the index ...
Página 158
... 3.64 29.0 14.5 50 341.6 2 : 533518 7.466482 3.68 29.3 14.6 338.3 2.529302 7.470698 3.72 29.6 14.8 ΙΟ 335.0 2.525045 7.474955 3.75 29.9 14.9 No. Squares . Cubes . Square Roots . Cube Roots 158 RADIÍ AND their LOGARITHMS .
... 3.64 29.0 14.5 50 341.6 2 : 533518 7.466482 3.68 29.3 14.6 338.3 2.529302 7.470698 3.72 29.6 14.8 ΙΟ 335.0 2.525045 7.474955 3.75 29.9 14.9 No. Squares . Cubes . Square Roots . Cube Roots 158 RADIÍ AND their LOGARITHMS .
Página 160
... 036874 .5460 4.355 2.181 13 14 o 82.06 1.914132 83.34 85.08 1.929828 1.946157 8.053843 8.070172 .5897 4.701 .5679 4.528 2.268 2.355 8.085868 .6117 4.875 2.442 TABLE XI . SQUARES , CUBES , ETC. , OF 160 METRIC CURVE TABLE .
... 036874 .5460 4.355 2.181 13 14 o 82.06 1.914132 83.34 85.08 1.929828 1.946157 8.053843 8.070172 .5897 4.701 .5679 4.528 2.268 2.355 8.085868 .6117 4.875 2.442 TABLE XI . SQUARES , CUBES , ETC. , OF 160 METRIC CURVE TABLE .
Página 161
... CUBES , ETC. , OF NUMBERS FROM 1 TO 1042 . NOTE . - If N be taken to represent any number in any column of this table , then the algebraic significance of the re- maining numbers , on the same ... CUBES , SQUARE AND CUBE ROOTS TABLE XI. ...
... CUBES , ETC. , OF NUMBERS FROM 1 TO 1042 . NOTE . - If N be taken to represent any number in any column of this table , then the algebraic significance of the re- maining numbers , on the same ... CUBES , SQUARE AND CUBE ROOTS TABLE XI. ...
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Términos y frases comunes
A. D. MIN adjustment apex distance backsight called capstan central angle CHORD column Cosine 1 Sine cross-hair Cube Roots decimal deflection angle deflection distance degree of curvature degree of curve Diff divided equal error Example figure fixed foregoing formation slope frog angle gauge of track gauge side ground inches index angle intersection angle located logarithm M.
M. I Sine Main frog dist mantissa mark measure method metres middle frog middle ordinate minutes multiplied natural sine number corresponding observation opposite outer rail parallel perpendicular plane triangle Polaris quotient radii radius range REVERSED CURVE rule Sine 1 Cotang Square Roots sub-chord subtended Subtract Suppose switch-rail Table XVI tabular tance Tang tangent A B tangential angle tangential distance telescope terminal tangent tion toe of switch transitman Trigonometry turnout curve vernier vertical ΙΟ бо
Pasajes populares
Página 18 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 4 - That is, the logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor. 7. Raising both members of (4) to the power denoted by p, we have, 10...
Página 17 - As the sum of the given sides is to their difference, So is the tangent of half the sum of the remaining angles to the tangent of half their difference.
Página 15 - ... the tangent of half the sum of the angles at the base to the tangent of half their difference.
Página 14 - This is done by reversing the preceding rule : Look in the proper column of the table for the given logarithm ; if it is found there, the degrees are to be taken from the top or bottom, and the minutes from the left or right hand column, as the case may be. If the given logarithm is not found in the table, then find the next less logarithm, and take from the table the corresponding degrees and minutes, and set them aside. Subtract the logarithm found in the table, from the given logarithm, and divide...
Página 13 - Tangent, fyc., of any number of degrees and minutes. If the given angle is less than 45°, look for the degrees at" the top of the table, and the minutes on the left ; then, opposite to the minutes, and under the word sine at the head of the column, will be found the sine ; under the word tangent, will be found the tangent, &c. The log, sin of 43° 25' is 9.83715 The tan of 17° 20...
Página 15 - ... opposite to that leg. And one of the legs is to the other as the radius to the tangent of the angle opposite to the latter.
Página 5 - The rule is the reverse of those just given. Look in the table for the mantissa of the given logarithm. If it cannot be found, take out the next less mantissa, and also the corresponding number...
Página 13 - If the angle is greater than 45°, look for the degrees at the bottom of the page, and for the minutes in the right...