Square through Sqaures
A new formula is derived by Piyush Kumar Goyal known as “Square Through Squares”.
Formula is mention below:
| N2 = [(N-2)th Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [(N-3)th Sq. on Y-Axis] * [(N-3)th Sq. on X-Axis]
|
Let’s take some examples:
- Square of 5
| 52 = [(5-2)th Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [(5-3)th Sq. on Y-Axis] * [(5-3)th Sq. on X-Axis]
= [3rd Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [2nd Sq. on Y-Axis] * [2nd Sq. on X-Axis]
|
52 = (3rd Sq. * 3rd Sq.) + (2nd Sq. * 2nd Sq.)
= 16 points + 9 points
= 25 points
2.Square of 4
| 42 = [(4-2)th Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [(4-3)th Sq. on Y-Axis] * [(4-3)th Sq. on X-Axis]
= [2nd Sq. on Y-Axis] * [3rd Sq. on X-Axis] + [1st Sq. on Y-Axis] * [1st Sq. on X-Axis]
|
42 = (2nd Sq. * 3rd Sq.) + (1st Sq. * 1st Sq.)
= 12 points + 4 points
= 16 points