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, and Prepared with Special Reference to the Wants of the Young EngineerD. Van Nostrand Company, 1890 - 339 páginas |
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Página 10
... 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 solu- tion ...
... 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 solu- tion ...
Página 15
... triangle , as one of the sides is to another , so is the sine of the angle opposite to the former to the sine of the angle opposite to the latter . 3. In any plane triangle , as the sum of the sides about the vertical angle is to their ...
... triangle , as one of the sides is to another , so is the sine of the angle opposite to the former to the sine of the angle opposite to the latter . 3. In any plane triangle , as the sum of the sides about the vertical angle is to their ...
Página 16
... TRIANGLES . 1. It is usually , though not always , best to work the propor tions in trigonometry by means of logarithms , taking the logarithm of the first term from the sum of the logarithms of the second and third terms , to obtain ...
... TRIANGLES . 1. It is usually , though not always , best to work the propor tions in trigonometry by means of logarithms , taking the logarithm of the first term from the sum of the logarithms of the second and third terms , to obtain ...
Página 17
... Deducting half the = difference from half the sum = 24 ° 26 ′ = the smaller angle , A. This case is susceptible of solution also by means of propo- CASE III . 6. When the three sides of a sition 6 . SOLUTION OF PLANE TRIANGLES . 17.
... Deducting half the = difference from half the sum = 24 ° 26 ′ = the smaller angle , A. This case is susceptible of solution also by means of propo- CASE III . 6. When the three sides of a sition 6 . SOLUTION OF PLANE TRIANGLES . 17.
Página 18
... triangle is divided into two , each of which falls under the first case . Or they may be solved by the simpler methods applica- ble to right - angled triangles . Second Method . 7. Find any one of the angles by means of proposition 6 ...
... triangle is divided into two , each of which falls under the first case . Or they may be solved by the simpler methods applica- ble to right - angled triangles . Second Method . 7. Find any one of the angles by means of proposition 6 ...
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A. D. MIN adjustment apex distance backsight called central angle CHORD column Cosine 1 Sine cross-hair Cube Roots decimal deflection distance degree of curvature degree of curve Diff divided engineer equal error Example feet figure fixed FOOD foregoing formation slope frog angle gauge of track gauge side ground Hence inches index angle instrument height intersection angle located logarithm Main frog dist mantissa mark measure method metres metric curve middle frog middle ordinate middle point 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 transitman Trigonometry turnout curve vernier vertical ΙΟ