The Quarterly Journal of Pure and Applied Mathematics, 1895, Vol. 27 (Classic Reprint) - Hardcover

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Excerpt from The Quarterly Journal of Pure and Applied Mathematics, 1895, Vol. 27

The surface is now a spherical surface with one simple hole, and another hole across which there are n 2 strips and at which there are m l boundary lines. If m 1 is greater than 1, another simple hole may be formed in like manner, and so on until there remains only one boundary line in the region of the strips.

There remains then a spherical surface in which there are m holes; and m l of these are simple holes, and the last, which may be called the chief hole, has n m strips across it from edge to edge in such manner that the edges of the hole and strips form one boundary line.

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