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Here, then, is a case specially adapted to the isotropy of the quaternion system; and Hamilton easily saw that the expression i d x +j - + k dz could be, like ix+jy+ kz, effectively expressed by a single letter.

00Suppose, therefore, that the equation of the boundary is r =a+a cos kz, (I) where a is a small quantity, the axis of z being that of symmetry.

00Here, then, is a case specially adapted to the isotropy of the quaternion system; and Hamilton easily saw that the expression i d x +j - + k dz could be, like ix+jy+ kz, effectively expressed by a single letter.

00Suppose, therefore, that the equation of the boundary is r =a+a cos kz, (I) where a is a small quantity, the axis of z being that of symmetry.

00

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