Area of a circle Measurement of a Circle" (c. 260 BCE), compare the area enclosed by a circle to a right triangle whose base has the length of the circle's circumference and whose height equals the circle's radius. If the area of the circle is not equal to that of the triangle, then it must be either greater or less. We eliminate each of these by contradiction, leaving equality as the only possibility. We use regular polygons in the same way. Suppose that the area "C" enclosed by the circle is greater than the area "T" = ⁄"cr" of the triangle. Let "E" denote
The Doll that Came Straight from Fairyland straight on, and when he meets other people he must ask what they are thinking. In his quest, he travels across the sea, through a gorse bush and over an iceberg to a castle. Along the way he collects thoughts. These thoughts consist of the Prince's wishes for his gift: a steamboat, a cannon and a magical balloon. The gifts that the Prince had wished for earlier help him reach the castle where Lady Emmelina is waiting. Once he finds her, the Prince quickly returns home. When Princess Pansy sees her brother she hugs him while Lady Emmelina falls to