. Graphical and mechanical computation . OB 0 6 OA 01 6 Fig. 3&. SCALE!. AND THE SLIDE RULE Chap. I transversal through 0 will be marked with the same value of u, andthe scale on O2X2 will have for its equation x2 = ra2/(w). The transversals through 0 need not be drawn, but simply theirpoints of intersection with O1X1 indicated. If the transversals through0 are drawn, then we may get a scale of any required modulus by merelydrawing a parallel to O1X1 dividing the segment 00\ in the required ratio;thus a line midway between 0 and 0X will carry a scale with modulus. Fig.
. Graphical and mechanical computation . OB 0 6 OA 01 6 Fig. 3&. SCALE!. AND THE SLIDE RULE Chap. I transversal through 0 will be marked with the same value of u, andthe scale on O2X2 will have for its equation x2 = ra2/(w). The transversals through 0 need not be drawn, but simply theirpoints of intersection with O1X1 indicated. If the transversals through0 are drawn, then we may get a scale of any required modulus by merelydrawing a parallel to O1X1 dividing the segment 00\ in the required ratio;thus a line midway between 0 and 0X will carry a scale with modulus. Fig. 3c. W1/2, a line f of the way from 0 to 0X will carry a scale with modulus2 /W1/5, etc. This principle is illustrated in Figs. 36 and 3c for uniform and loga-rithmic scales respectively. If we mark a uniform scale .1, .2, .3, . ..9, on the base line beginning at 0, then the lines through these pointsparallel to the left-hand scale with modulus m will cut the transversalin scales whose moduli are .1 m, .2 m, . . , .gm, respectively. It isbest to make the charts in these figures almost square, and to take w = 10 Art. 4 STATIONARY SCALES 5 in. for the uniform scale and m = 25 cm. for the logarithmic scale. Thechart of uniform scales will then be an amplification of the engineersor architects hexagonal scale, and the chart of logarithmic scales, anamplification of the logarithmic slide rule. If necessary the scales in either chart may be extended. Note, how-ever, that in the case of the logarithmic scales, the segment representingthe interval from u = 1 to u = 10 is of the same l
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