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CHAPTER XI THE LOGARITHMIC SPIRAL

curious still. For instance, if we make a rectangle (Fig. 251) such that the two sides

Two rectangles composed of smaller geometric shapes, illustrating the geometric proportions of A-series paper sizes.

Fig. 251. Fig. 252.

are in the ratio of 1ã€₤:ã€₤㈚ÿ£¢2, it is obvious that, on doubling it, we obtain a precisely similar figure; for 1ã€₤:ã€₤㈚ÿ£¢2ã€₤::ã€₤㈚ÿ£¢2ã€₤:ã€₤2; and {511} each half of the figure, accordingly, is now a gnomon to the other. Another elegant example is when we start with a rectangle ( A ) whose sides are in the proportion of 1ã€₤:ã€₤ô§(㈚ÿ£¢5ã€₤㈒ã€₤1), or,

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