Describeillustrate the construction used by the ancient Indi

Describe/illustrate the construction used by the ancient Indians to show that the difference between two squares can be converted into another square. Describe/illustrate the construction used by the ancient Indians to show that a rectangle can be transformed into a square, using the results from #10.

Solution

10. Solution:- to show the difference between two squares can be converted into another square we should divide the remaining portion into equal parts to convert it into another square.

For example:- Let a square box of area 64 is substracted by another square box of area 16 then the remaining area should be divided into 3 equal part to form 3 squares of equal area.

11.Solution :- to transform a square into a rectangle one should cut diagonally in the middle, divide one part again and place the two halves to the north and east of the other part. If the figure is a quadrilateral one should place together as it fits. This is the distribution