The Science of the Shulba: A Study in Early Hindu Geometry c11.40

c11.40

Proceeding in the same way we can find in general a square equivalent to the *n*th part of a given square. *Either*: First find a square equivalent to *n* times the given square. The square on the *n*th part of a side of this square will be equivalent to the *n*th part of the given square. *Or* Divide a side of the given square into *n* equal parts. On drawing parallel lines through the points of division, the given square will be divided into n² equal square parts. The square combining n of these elementary squares will be equivalent to the nth part of the given square.