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 19
... determines the opposite angle . 5. Applying this method to the right- angled triangle ABC , and calling the hypothenuse a radius , we shall have , - ca sin . C ÷ R ; hence sin . C = Rc ÷ a . ba cos . C ÷ R ; hence cos . C = Rb ÷ a ...
... determines the opposite angle . 5. Applying this method to the right- angled triangle ABC , and calling the hypothenuse a radius , we shall have , - ca sin . C ÷ R ; hence sin . C = Rc ÷ a . ba cos . C ÷ R ; hence cos . C = Rb ÷ a ...
Página 29
... determine the expediency of making an instru- mental examination . 13. HEIGHTS BY THE THERMOMETER . T = the difference , in degrees Fahrenheit , between 2120 , the temperature of boiling water at the sea level , and that at the 30 H ...
... determine the expediency of making an instru- mental examination . 13. HEIGHTS BY THE THERMOMETER . T = the difference , in degrees Fahrenheit , between 2120 , the temperature of boiling water at the sea level , and that at the 30 H ...
Página 54
... Determine the corresponding radius by ( 17 ) , by Table X. , or , for ordinary practice , by dividing 5,730 by it . Thus , in the foregoing example , the tabular chord corre- sponding to angle 35 ° 24 ' would be 3,484.2 , which ...
... Determine the corresponding radius by ( 17 ) , by Table X. , or , for ordinary practice , by dividing 5,730 by it . Thus , in the foregoing example , the tabular chord corre- sponding to angle 35 ° 24 ' would be 3,484.2 , which ...
Página 57
... AND CHORD C , TO FIND THE TAN- GENTIAL ANGLE T. The angle T is equal to D by construction ; for mode of 22. GIVEN ANY RADIUS R , AND CHORD C , determining it , see preceding section ( 18 ) . RADII , DEFLECTION ANGLES , ETC. 57.
... AND CHORD C , TO FIND THE TAN- GENTIAL ANGLE T. The angle T is equal to D by construction ; for mode of 22. GIVEN ANY RADIUS R , AND CHORD C , determining it , see preceding section ( 18 ) . RADII , DEFLECTION ANGLES , ETC. 57.
Página 64
... determine the tangential distance CP , to the first stake on the curve , either of two methods may be used : - = - First , The sine of any tangential angle is equal to half the chord which limits the angle on one side divided by radius ...
... determine the tangential distance CP , to the first stake on the curve , either of two methods may be used : - = - First , The sine of any tangential angle is equal to half the chord which limits the angle on one side divided by radius ...
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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...