Area of a circle each polygon side is a radius, of length "r". And since the total side length is greater than the circumference, the polygon consists of "n" identical triangles with total area greater than "T". Again we have a contradiction, so our supposition that "C" might be less than "T" must be wrong as well. Therefore, it must be the case that the area enclosed by the circle is precisely the same as the area of the triangle. This concludes the proof. Following Satō Moshun and Leonardo da Vinci , we can use inscribed regular polygons in a different way. Suppose we
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