Derivatives
Derivations of this method also appeared in the 16th century in Matrakci Nasuh's Umdet-ul Hisab. Matrakçı Nasuh's triangular version of the multiplication technique is seen in the example showing 155 x 525 on the right, and explained in the example showing 236 x 175 on the left figure.
The same principle described by Matrakci Nasuh underlay the later development of the calculating rods known as Napier's bones (Scotland, 1617) and Genaille–Lucas rulers (France, late 1800s).
Read more about this topic: Lattice Multiplication