Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/38

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ERRATA. VOL. I.

p. 159, 1. 3, for $F$ read $f$.

,, 1. 2 from bottom, for $M$ read $M_2$ .

p. 163, 1. 20, for $\lambda_{i-s+1}$ read $\lambda_{i-\sigma+1}$.

p. 164, equation (34), for $(-1)^{i-s} \frac {\left | \underline{2s} \right .}{2^2s \left | \underline{i} \right . \left | \underline{s} \right . }$ read $(-1)^{i-\sigma} \frac {\left | \underline{2\sigma} \right .}{2^2\sigma \left | \underline{i} \right . \left | \underline{\sigma} \right .}$

p. 179, equation (76), for $i+l$ read $2i+1$.

p. 185, equation (24), for $\frac{x^2}{b^2}-\frac{z^2}{c^2}=1$ read $\frac{x^2}{b^2}-\frac{z^2}{c^2-b^2}=1$

p. 186, 1. 5 from bottom, for 'The surface-density on the elliptic plate' read The surface-density on either side of the elliptic plate

p. 186, equation (30), for $2\pi$ read $4\pi$.

p. 188, equation (38), for $\pi^2$ read $2\pi^2$.

p. 196, 1. 27, for $e..e$ read $e_1..e_2$ .

p. 197, equation (10) should be $M = \frac{E \,e}{f}-\frac{1}{2}\frac{e^2 a^3}{f^2(f^2-a^2)}$

p. 204, 1. 15 from bottom, dele either.

p. 215, 1. 4, for $\sqrt{2k}$ read $\sqrt{2} k$.

p. 234, equation (13), for $2E$ read $\frac{E}{2\pi}$.

p. 335, dele last 14 lines.

p. 336, 1. 1, dele therefore.

" 1. 2, for 'the potential at $C$ to exceed that at $D$ by $P$,' read a current, $C$, from $X$ to $Y$.

" 1. 4, for '$C$ to $D$ will cause the potential at $A$ to exceed that at $B$ by the same quantity $P$,' read $X$ to $Y$ will cause an equal current $G$ from $A$ to $B$.

p. 351, 1. 3, for $R_1^2 u^2 + R_2^2 v^2 + R_3^2 w^2$ read $R_1 u^2+R_2 v^2+R_3 w^2 \,$

1. 5, read $+2\iiint (u \frac{dV}{dx} +v \frac{dV}{dy} + w \frac{dV}{dz}) \, dx\, dy\, dz$

p. 355, last line, for $S'$ read $S$.

p. 356, equation (12), for ${\overline {\left . \frac {db}{d} \right |}}^2$ read ${\overline {\left . \frac {db}{dx} \right |}}^2$

p. 365, in equations (12), (15), (16), for $A$ read $Ar$. E E

p. 366, equation (3), for $\frac{E_2}{r_1}$ read $\frac{E_2}{r_2}$

p. 367, 1. 5, for $2k_1 S$ read $2k_2 S$.

p. 368, equation (14), for $J_2^'$ read $I_2^'$.

p. 397, 1. 1, for $\frac {D'}{E} \delta'$ read $\frac {D'}{E'} \delta '$.

p. 404, at the end of Art. 350 insert as follows:—

When $\gamma$, the resistance to be measured, $a$, the resistance of the battery, and $\alpha$, the resistance of the galvanometer, are given, the best values of the other resistances have been shewn by Mr. Oliver Heaviside (Phil. Mag., Feb. 1873) to be

$c=\sqrt {a \alpha}$, $b=\sqrt {a \gamma \frac{\alpha + \gamma}{a + \gamma}}$, $\beta=\sqrt {\alpha \gamma\ \frac {a+\gamma}{\alpha +\gamma} }$