The Field Engineer: A Handy Book of Practice in the Survey, Location, and Trackwork of Railroads; Containing ... Rules and Tables ... Applicable to ... the Standard and the Narrow Gauge ...D. van Nostrand, 1880 - 318 páginas |
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Página 18
... find a side . Call any one of the sides radius , and write become sines , tangents , cosines , or the like upon it the word " radius . " Observe whether the other sides 18 RIGHT - ANGLED PLANE TRIANGLES . Right-angled plane triangles.
... find a side . Call any one of the sides radius , and write become sines , tangents , cosines , or the like upon it the word " radius . " Observe whether the other sides 18 RIGHT - ANGLED PLANE TRIANGLES . Right-angled plane triangles.
Página 19
... cosines , or the like , and write upon them the proper designations accordingly . 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 . 4. To find an angle . Assume ...
... cosines , or the like , and write upon them the proper designations accordingly . 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 . 4. To find an angle . Assume ...
Página 98
... cosine a ; i.e. , IK ÷ IH = nat . cosine a . But IHR ― r ; IK IC KC , and KC KF or HE = R — r— D. Hence nat . cosine C F = + FC , r + D ; i.e. , I K = = The same reasoning would apply if A BE were the a = R ― r D , ÷ R — r = 1 − | D ...
... cosine a ; i.e. , IK ÷ IH = nat . cosine a . But IHR ― r ; IK IC KC , and KC KF or HE = R — r— D. Hence nat . cosine C F = + FC , r + D ; i.e. , I K = = The same reasoning would apply if A BE were the a = R ― r D , ÷ R — r = 1 − | D ...
Página 99
... cosine of the angle of re- treat along the located curve to the required P. C. C. Example . 3. A 3 ° curve on the ground , to find the P. C. C. of a 5 ° curve striking 27 feet to the right . Here D = 27 ; R - = - 1 ' = 1,910- .03534 ...
... cosine of the angle of re- treat along the located curve to the required P. C. C. Example . 3. A 3 ° curve on the ground , to find the P. C. C. of a 5 ° curve striking 27 feet to the right . Here D = 27 ; R - = - 1 ' = 1,910- .03534 ...
Página 100
... cosine a = nat . cosine b- [ D ÷ ( R — r ) ] . - Were the curve B M located , and the curve C N to be substi- tuted for it , that is to say , were a given and b required , — we should have , by transposition , nat . cos . b : ―― = nat ...
... cosine a = nat . cosine b- [ D ÷ ( R — r ) ] . - Were the curve B M located , and the curve C N to be substi- tuted for it , that is to say , were a given and b required , — we should have , by transposition , nat . cos . b : ―― = nat ...
Otras ediciones - Ver todas
The Field Engineer: A Handy Book of Practice in the Survey, Location and ... William F. Shunk Sin vista previa disponible - 2008 |
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... William Findlay Shunk Sin vista previa disponible - 2017 |
Términos y frases comunes
100 feet long 100-feet chords adjustment apex distance called central angle column Cosine 1 Sine Cotang cross-hair Cube Roots decimals deflection distance degree of curvature DEGREE OF CURVE Diff divided elevation engineer equal Example feet figure fixed foregoing frog angle Full Gauge gauge of track gauge side gent ground index angle instrument intersection angle length of switch-rail located logarithm M.
M. I Sine Main frog dist mantissa mark measure method middle frog middle ordinate middle point minutes Multiply observation outer rail parallel perpendicular quotient radii radius range Reciprocals REVERSED CURVE right triangle screws slope Square Roots standard gauge straight line sub-chord subtended Subtract Suppose Table XVI tabular tance Tang tangent A B tangential angle tangential distance telescope terminal tangent tion toe of switch Trigonometry turnout curve vernier versin vertical ΙΟ ΤΑΝ
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 - ... is supposed to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
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