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 11
... cosine of an angle is the sine of the complement of the angle . Thus N M = OP is the cosine of the angle M O A. The tangent of an angle is a right line which touches the enclosing arc at one extremity , and is limited by a right line ...
... cosine of an angle is the sine of the complement of the angle . Thus N M = OP is the cosine of the angle M O A. The tangent of an angle is a right line which touches the enclosing arc at one extremity , and is limited by a right line ...
Página 12
... cosine of A , & c . 6. The above definitions have been made with reference to a radius of 1. Any function of an arc ... cosines , tangents , or cotangents are those which are referred to a radius of 1. They may be used for all the ...
... cosine of A , & c . 6. The above definitions have been made with reference to a radius of 1. Any function of an arc ... cosines , tangents , or cotangents are those which are referred to a radius of 1. They may be used for all the ...
Página 13
... cosine , tang . , or cotang . , as the case may be ; the number there found is the logarithm sought . Thus , log . sin . 19 ° 55 ' . log . tang . 19 ° 55 ' . • 9.532312 9.559097 3. If the angle is greater than 45 ° , look for the ...
... cosine , tang . , or cotang . , as the case may be ; the number there found is the logarithm sought . Thus , log . sin . 19 ° 55 ' . log . tang . 19 ° 55 ' . • 9.532312 9.559097 3. If the angle is greater than 45 ° , look for the ...
Página 14
... cosine of 95 ° 18 ′ 24 ′′ is 8.966078 , and the log . cot . of 125 ° 23 ' 50 " is 9.851619 . TO FIND THE ARC CORRESPONDING TO ANY LOGARITHMIC FUNCTION . 6. This is done by a reverse process . Look in the proper column of the table for ...
... cosine of 95 ° 18 ′ 24 ′′ is 8.966078 , and the log . cot . of 125 ° 23 ' 50 " is 9.851619 . TO FIND THE ARC CORRESPONDING TO ANY LOGARITHMIC FUNCTION . 6. This is done by a reverse process . Look in the proper column of the table for ...
Página 15
... cosine of half the difference of the angles at the base is to the cosine of half their sum , so is the sum of the sides about the vertical angle to the third side , or base . Also , as the sine of half the difference of the angles at ...
... cosine of half the difference of the angles at the base is to the cosine of half their sum , so is the sum of the sides about the vertical angle to the third side , or base . Also , as the sine of half the difference of the angles at ...
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,...