Wednesday, April 25, 2012

Sangaku - 6

This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to


  1. Here's a non-trivial challenge. Beginning with the outer square, draw Sanjay's diagram using compass and straight-edge construction. (A ruler can be used as a straight-edge if the markings are ignored.)

  2. Sanjay, your diagram suggests a new problem with similar geometric appearance but different dimensions: Calculate the dimensions of a non-overlapping circle and square of equal area inscribed in a unit square.