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 49
... as axiomatic . B 1 D H K E N 1. In any circle a tangent is perpendicular to radius at the tangent point . Thus , BI is perpendicular to BC . 49 2. Tangents drawn to a circle from the same point Propositions relating to the circle.
... as axiomatic . B 1 D H K E N 1. In any circle a tangent is perpendicular to radius at the tangent point . Thus , BI is perpendicular to BC . 49 2. Tangents drawn to a circle from the same point Propositions relating to the circle.
Página 50
... drawn to a circle from the same point are equal . Thus , IB IE . 3. The angle DIE , at the intersection of tangents , is equal to the central angle BC E , included between radii to the tan- gent points . 4. If a chord BE connect the ...
... drawn to a circle from the same point are equal . Thus , IB IE . 3. The angle DIE , at the intersection of tangents , is equal to the central angle BC E , included between radii to the tan- gent points . 4. If a chord BE connect the ...
Página 52
... draw the curve AH B. M K F H IN and GA or GB , the radius , R. chord of 100 feet D , as before . B The point E will be the P. I .; A and B , tangent points ; EA , EB , the tan- gents , or apex distances , which denote by T ; EH , the ...
... draw the curve AH B. M K F H IN and GA or GB , the radius , R. chord of 100 feet D , as before . B The point E will be the P. I .; A and B , tangent points ; EA , EB , the tan- gents , or apex distances , which denote by T ; EH , the ...
Página 57
... Draw A K to the middle point of HB . = Then d = HB2 KB = 2AB X sin KAB = 2 C X sin D. Example . Let R = 1,146 feet , C = 100 feet . By ( 18 ) D will be found = 5o . Then d = 2 C × sin D = 200 × .0436 : = 8.72 feet . 20. If the chords ...
... Draw A K to the middle point of HB . = Then d = HB2 KB = 2AB X sin KAB = 2 C X sin D. Example . Let R = 1,146 feet , C = 100 feet . By ( 18 ) D will be found = 5o . Then d = 2 C × sin D = 200 × .0436 : = 8.72 feet . 20. If the chords ...
Página 58
... Draw AN to the middle point of BE . Then t = EB 2 NB = 2AB X sin NAB - 2 C X sin T. Example . = Let R 1,146 feet , C = 100 feet . By sect . 1 , T will be found = 2o 30 ' . Then t 2 CX sin T = 200 × .0218 = 4.36 feet . 23. In ordinary ...
... Draw AN to the middle point of BE . Then t = EB 2 NB = 2AB X sin NAB - 2 C X sin T. Example . = Let R 1,146 feet , C = 100 feet . By sect . 1 , T will be found = 2o 30 ' . Then t 2 CX sin T = 200 × .0218 = 4.36 feet . 23. In ordinary ...
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