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(22) The corresponding sides of two similar polygons are in the ratio of a side of a square to its diagonal; find the ratio of the areas of the polygons.

(23) If in any circle four radii be drawn at right angles to one another, and with each of these four radii as diameters circles be described within the former, shew that the areas of the four circles are together equal to that of the original circle.

(24) From a given polygon cut off a similar polygon whose area shall be one-fourth of the original one.

(25) Shew how the square may be found which is equal to any given polygon.





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