. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. Let A B, fig. 1, represent 30 miles, andfthe perpendicular C B, CO minutes, and suppose a train to be travelling along A B with a uniform Telocity of 30 miles per hour. The time of describing A 6 will be found by applying the vertical scale to measure the perpendicular c\b; for Time in A 4 A. b be. TimeTn~AB â AB ~ BC But B C represents time in A B, and therefore b c represents time in A * ; and so on for any other distance. Suppose, however, that when the train comes to D, t
. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. Let A B, fig. 1, represent 30 miles, andfthe perpendicular C B, CO minutes, and suppose a train to be travelling along A B with a uniform Telocity of 30 miles per hour. The time of describing A 6 will be found by applying the vertical scale to measure the perpendicular c\b; for Time in A 4 A. b be. TimeTn~AB â AB ~ BC But B C represents time in A B, and therefore b c represents time in A * ; and so on for any other distance. Suppose, however, that when the train comes to D, the velocity falls from 30 to 20 miles per hour. Draw E F parallel to A B, and cut oft' E F = 20 miles. Erect the perpendicular F G, and make it 00 minutes by the vertical scale. Join E G. Then the time of arrival^at any point d, will be found by applying the vertical scale to the perpendicular c d, and readicg off the minutes; and so on if there bejjmore changes of velo- city. The above is applicable to a train travelling with varying velocities, bu without stoppages. If we suppose the train to lose 5 minutes by stop ping at a station at b, then this time will never be recovered, and every point in 'he time line to the right of b c, must be raised 5 minutes. If there be another loss of 4 minutes at d, every point in the time line to the right of d e, must be raised through 4 minutes additional; and so on for other Fig .6. Suppose that on a railway there are stations A, b, C, d, e, F, g, A, I where A and I, are the termini, and C, F, first class. A to b, is 3 miles; to C, 2 , ; C to (i, 5i ; d to e, 4 ; e to F, 3 ; F to g-, 2 ; ^ to A, 3 ; and h to I, 0 miles. The first eight miles can be travelled at the rate of 25 miles per hour, the next ten at 20 miles, and the remaining distance at 30 miles per hour. Fig. 3, shows a series of strips of boxwood of equal length and thickness, but whose breadths represent the distances betwixt the stations, measured by the horizon
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