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 ...D. Van Nostrand Company, 1908 - 345 páginas |
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Página 10
... triangle there are six parts , three angles . When three of these parts are - three sides and given , one being a side , the remaining parts may be found by computation . The operation of finding the unknown parts is called the solu ...
... triangle there are six parts , three angles . When three of these parts are - three sides and given , one being a side , the remaining parts may be found by computation . The operation of finding the unknown parts is called the solu ...
Página 15
... triangle , as one of the sides is to another , so is the sine of the angle opposite to the former to the sine of the angle opposite to the latter . 3. In any plane triangle , as the sum of the sides about the vertical angle is to their ...
... triangle , as one of the sides is to another , so is the sine of the angle opposite to the former to the sine of the angle opposite to the latter . 3. In any plane triangle , as the sum of the sides about the vertical angle is to their ...
Página 16
... TRIANGLES . 1. It is usually , though not always , best to work the propor tions in trigonometry by means of logarithms , taking the logarithm of the first term from the sum of the logarithms of the second and third terms , to obtain ...
... TRIANGLES . 1. It is usually , though not always , best to work the propor tions in trigonometry by means of logarithms , taking the logarithm of the first term from the sum of the logarithms of the second and third terms , to obtain ...
Página 17
... . Deducting half the difference from half the sum = 24 ° 26 ' the smaller angle , A. = - This case is susceptible of solution also by means of propo CASE III . 6. When the three sides of a sition 6 . SOLUTION OF PLANE TRIANGLES . 17.
... . Deducting half the difference from half the sum = 24 ° 26 ' the smaller angle , A. = - This case is susceptible of solution also by means of propo CASE III . 6. When the three sides of a sition 6 . SOLUTION OF PLANE TRIANGLES . 17.
Página 18
... triangle is divided into two , each of which falls under the first case . Or they may be solved by the simpler methods applica- ble to right - angled triangles . Second Method . 7. Find any one of the angles by means of proposition 6 ...
... triangle is divided into two , each of which falls under the first case . Or they may be solved by the simpler methods applica- ble to right - angled triangles . Second Method . 7. Find any one of the angles by means of proposition 6 ...
Términos y frases comunes
A. D. MIN adjustment apex distance backsight called central angle CHORD column cosec Cosine 1 Sine cross-hair Cube Roots cubic DATARIO decimal deflection distance degree of curvature degree of curve Diff divided elevation equal equivalent Example feet long figure fixed foregoing formation slope frog angle gauge of track gauge side given angle grade ground inches index angle instrument height intersection angle located logarithm M.
M. I Sine Main frog dist mantissa mark measure method metres middle ordinate minutes multiply number corresponding observation opposite outer rail perpendicular plane triangle quotient radii radius range REVERSED CURVE Sine 1 Cotang Square Roots standard gauge sub-chord Subtract Suppose switch-rail Table XVI tabular tance Tang tangential angle tangential distance telescope terminal tangent tion toe of switch Trigonometry turnout curve vernier vertical ΙΟ
Pasajes populares
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 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. log» MN = log» M + log
Página 13 - If the arc, or angle, is less than 45°, look for the degrees at the top of the page, and for the minutes in the...
Página 17 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 3 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number.
Página 15 - Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Página 15 - AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles ACB and ABC, to the tangent of half their difference.
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-hand column ; then follow the corresponding...
Página 15 - In any plane triangle, as twice the rectangle under any two sides is to the difference of the sum of the squares of those two sides and the square of the base, so is the radius to the cosine of the angle contained by the two sides.
Página 11 - The operation of finding the unknown parts is called the solution of the triangle. 2. A plane angle is measured by the arc of a circle included between its sides; the centre of the circle being at the vertex, and its radius being 1. The circle, for convenience, is divided into 360 equal parts called degrees; 90 of these parts are included in a quadrant, which includes one-quarter of the circle, and is the measure of a right angle. Each degree is further divided into 00 equal parts called minutes,...