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, 1890 - 339 páginas |
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Página 10
... sides and three angles . When three of these parts are given , one being a side , the remaining parts may be found by computation . The operation of finding the unknown parts is called the solu- tion of the triangle . 10 2. A plane ...
... sides and three angles . When three of these parts are given , one being a side , the remaining parts may be found by computation . The operation of finding the unknown parts is called the solu- tion of the triangle . 10 2. A plane ...
Página 11
... 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 ...
... 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 ...
Página 15
... sides about the vertical angle to the third side , or base . Also , as the sine of half the difference of the angles at the base is to the sine of half their sum , so is the difference of the sides about the vertical angle to the third side ...
... sides about the vertical angle to the third side , or base . Also , as the sine of half the difference of the angles at the base is to the sine of half their sum , so is the difference of the sides about the vertical angle to the third side ...
Página 16
... side . 4. If an angle be required , say , As one of the given sides is to the sine of its opposite angle , So is the other given side to the sine of its opposite angle . The third angle becomes known by taking the sum of the two former ...
... side . 4. If an angle be required , say , As one of the given sides is to the sine of its opposite angle , So is the other given side to the sine of its opposite angle . The third angle becomes known by taking the sum of the two former ...
Página 17
... sides a and b , as above , and angle A ; to find angle B. As side a Is to sin . A So is side b · · To sin . B = 36 ° 43 ′ . ( a . c . ) log . 8.021364 log . 9.616616 log . 2.138618 log . 9.776598 sum . CASE II . 5. When two sides and ...
... sides a and b , as above , and angle A ; to find angle B. As side a Is to sin . A So is side b · · To sin . B = 36 ° 43 ′ . ( a . c . ) log . 8.021364 log . 9.616616 log . 2.138618 log . 9.776598 sum . CASE II . 5. When two sides and ...
Términos y frases comunes
A. D. MIN adjustment apex distance backsight called capstan central angle chord A C column Cosine 1 Sine cross-hair Cube Roots decimal deflection distance degree of curvature degree of curve divided engineer equal error Example feet figure fixed foregoing formation slope frog angle gauge of track gauge side ground Hence inches index angle instrument height intersection angle located logarithm M.
M. Sine Main frog dist mantissa mark measure method metres 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 tangential angle tangential distance telescope terminal tangent tion toe of switch Trigonometry turnout curve vernier vertical ΙΟ
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 11 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Página 11 - ... plane triangles. In every plane triangle there are six parts, — three sides and three angles. When three of these parts are given, one being a side, the remaining parts may be found by computation. The operation of finding the unknown parts is called the solution of the triangle.
Página 19 - Call the word written upon each side the name of each side ; then say, As the name of the given side, Is to the given side ; So is the name of the required side, To the required side.
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 195 - NB The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right-hand column, belong to the degrees below.
Página i - SHUNK, WF 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 Narrow Gauge, and prepared with special reference to the wants of the young.
Página 19 - To find an angle. Assume one side to be radius, and mark the remaining sides as before. Then say, As the side made radius is to radius, So is the other given side to the name of that side; Which determines the opposite angle.
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...