A Treatise on Electricity and Magnetism/Errata

Page 26, l. 3 from bottom, dele 'As we have made no assumption', &c. down to l. 7 of p. 27, 'the expression may then be written', and substitute as follows:—

Let us now suppose that the curves for which is constant form a series of closed curves surrounding the point on the surface for which has its minimum value, , the last curve of the series, for which , coinciding with the original closed curve s.

Let us also suppose that the curves for which is constant form a series of lines drawn from the point at which to the closed curve s, the first , and the last, , being identical

Integrating (8) by parts the first term with respect to a and the second with respect to , the double integrals destroy each other. The line integral,

,

is zero, because the curve , is reduced to a point at which there is but one value of and of .

The two line integrals,

+ ,

destroy each other, because the point is identical with the point .

The expressions (8) is therefore reduced to


(9)


Since the curve is identical with the closed curve s, we may write this expression

p. 80, in equations (3), (4), (6), (e), (17), (18), (19), (20), (21), (22), for read .

p. 82, l. 3, for read .

p. 83, in equations (28), (29), (30). (31), for read

p. 83, in equation (29), insert - before the second member.

p. 105, 1. 2, for read .

p. 108, equation (1), for read .

p. 108, equation (2), for read .

p. 108, equation (3), for , read .

p. 108, equation (4), for read .

p. 113, l. 4, for read .

p. 113, l. 5, for read .

p. 111, I. 5, for read .

p. 124, last line, for read .

p. 125, lines 3 and 4, transpose within and without; l. 16, for read ; and l. 18, for read .

p. 128, lines 11, 10, 8 from bottom for read .

p. 149, l. 24, for equpotential read equipotential. p. 159, l. 3, for read .

p. 159, l. 2 from bottom, for read .

p. 163, l. 20, for read .

p. 164, equation (34), for read

p. 179, equation (76), for read .

p. 185, equation (24), for read .

p. 186, l. 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 read .

p. 188, equation (38), for read .

p. 196, l. 27, for read .

p. 197, equation (10) should be .

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

p. 215, l. 4, for read .

p. 234, equation (13), for read .

p. 335, dele last 14 lines.

p. 336, l. 1, dele therefore.

p. 336, l. 2, for 'the potential at to exceed that at by ,' read a current, , from to .

p. 336, l. 4, for ' to will cause the potential at to exceed that at by the same quantity ,' read to will cause an equal current from to .

p. 351, l. 3, for read .

p. 351, l. 5, read .

p. 355, last line, for read .

p. 356, equation (12), for read .

p. 365, in equations (12), (15), (16), for read .

p. 366, equation (3), for read .

p. 367, l. 5, for read .

p. 368, equation (14), for read .

p. 397, l. 1, for read .

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

When , the resistance to be measured, , the resistance of the battery, and , 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

.