. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 1846.] THE CIVIL ENGINEER AND ARCHITECTS JOURNAL. 27: minute errors from the necessary omission of small decimals.—For ex- ample : On a gradient of 1 in SOO, the value of G for 50 feet would be 0'1666G, &c.; now, if we used 0'17 as the nearest approximation and repeated it, we should obtain a total difference of 17 feet in one hundred lengths of 50 feet ; whereas the correct difference for 5000 feet is 16 feet 8 inches. But if we take G, for the first two lengths as 0-17,
. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 1846.] THE CIVIL ENGINEER AND ARCHITECTS JOURNAL. 27: minute errors from the necessary omission of small decimals.—For ex- ample : On a gradient of 1 in SOO, the value of G for 50 feet would be 0'1666G, &c.; now, if we used 0'17 as the nearest approximation and repeated it, we should obtain a total difference of 17 feet in one hundred lengths of 50 feet ; whereas the correct difference for 5000 feet is 16 feet 8 inches. But if we take G, for the first two lengths as 0-17, and for the third 016, and pursue the same alternation for the entire length, we shall have a correct result. This will, it is hoped, be sufficient to show one subject deserving of care. All the points laid out should be marked by a nick in the ground ; but if such a mark is not very visible, small wooden pegs must be employed. The cross sections annexed exhibit what has been done so far, and what there still remains to do. There has been determined, the height of embankment or depth of cut- tingcc'; the width, measured horizontally, of roadway cd, cd', and for slopes de, d'e'; and the heights ch, fe, /',' have been taken. And there remains to calculate, the horizontal addition to the widths for slopes e x on one side, and horizontal deductions on the other side, e'x'. The properties of the similar triangles cge, cxx, and of xxg, agd, afford a variety of expressions for the distance at g-; and in making a selection from them, I have chosen that which requires the least quantity of field work, without increasing the labour in the office. The notation employed will be Kg. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original London : [William Laxton]
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Keywords: ., boo, bookcentury1800, booksubjectarchitecture, booksubjectscience
