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 |
Dentro del libro
Página ix
... Hence , or therefore . : Indicates the quotient of one divided by the other of the quantities it connects , called sometimes the ratio of the quan- lities . :: Indicates an equality of ratios , and connects equal ratios in a proportion ...
... Hence , or therefore . : Indicates the quotient of one divided by the other of the quantities it connects , called sometimes the ratio of the quan- lities . :: Indicates an equality of ratios , and connects equal ratios in a proportion ...
Página 4
... hence its logarithm lies be- tween 1 and 2 , as does the logarithm of 74 . 5. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers . • The logarithm of a quotient is equal to the logarithm of ...
... hence its logarithm lies be- tween 1 and 2 , as does the logarithm of 74 . 5. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers . • The logarithm of a quotient is equal to the logarithm of ...
Página 8
... hence .03 is the root required . 13. Five - figure logarithms are sufficiently accurate for ordi- nary railroad field - work . The tables in this book may there- fore , as a rule , be used without interpolation . 1 PLANE TRIGONOMETRY ...
... hence .03 is the root required . 13. Five - figure logarithms are sufficiently accurate for ordi- nary railroad field - work . The tables in this book may there- fore , as a rule , be used without interpolation . 1 PLANE TRIGONOMETRY ...
Página 13
... Hence , in figuring with these logarithms , as many tens must be subtracted from the final result as have been added in the operation . This rule is illustrated in the following examples . -- TO FIND THE LOGARITHMIC FUNCTIONS OF AN ARC ...
... Hence , in figuring with these logarithms , as many tens must be subtracted from the final result as have been added in the operation . This rule is illustrated in the following examples . -- TO FIND THE LOGARITHMIC FUNCTIONS OF AN ARC ...
Página 14
... Hence the required arc is 15 ° 19 ′ 51 ′′ . 7. By analogous process , the arc corresponding to log . cos . VI . GENERAL PROPOSITIONS . 1. In any right - 9.427485 will be found to be 74 ° 28 ′ 43 ′′ . 14 LOGARITHMIC SINES , ETC.
... Hence the required arc is 15 ° 19 ′ 51 ′′ . 7. By analogous process , the arc corresponding to log . cos . VI . GENERAL PROPOSITIONS . 1. In any right - 9.427485 will be found to be 74 ° 28 ′ 43 ′′ . 14 LOGARITHMIC SINES , ETC.
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...