Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: ....027. This plotting has given us the value yl--a------60; n and we have already seen that the abscissa of the inter 1 section of the straight lines in Plate II is----= / = 1 meter, v R and its ordinate--=-= «+ = 0.027, from which we have C Ci I 1 ci =--= = 37-Having thus ascertained the numerical / values of yl and-for this particular case, we have for the value a, which is constant for all cases, «=-,--= 60-37 = 23. n 28. Determination of the constant value m in the. I, m expression y = a--is' ft 17 tn In the equation y--y, + denotes the tangent of the angle in Fig. 11, equal to that formed between the axis of abscissae and the straight line sF, whose abscissae are and whose ordinates are y; but if we take for the abscissae the slopes 5 themselves, as in Fig. 12, instead of their reciprocals,-r, then m is the square or constant which determines the equilateral hyperbola of the above equation. For the deter-mination of this value it is necessary to assume a point through which the straight line, Fig. 11, (or the hyperbola, Fig. 12,) should pass. We assumed a point F lying nearly midway be-tween those of gaugings Nos. 9 and 10, as being farthest re-moved from the intersection s (Fig. 11), and therefore fixing the line sF as closely as possible. The abscissa of this point is _ abscissa No. 9 + abscissa No. 10 2 _.00000342-j-.00000384 _, 2---3 3 and in order to have it upon the straight line averaging the remaining values of y, and to approximate somewhat more The gaugings represented by these diagrams were selected for this determination because they embodied the least slopes on record, and thus gave the largest values of-J. In the experiments of M. Bazin, is so small that a trifling want of accuracy in its determination would involve a considerable...
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