Ambalal Cuboid Theory

【Move to another page】
Quote
http://bit.ly/2J1lYPw
Ambalal Cuboid Theory

Kparmar24: Ambalal Cuboid Theory

---

== Ambalal Cuboid Theory 1.1 ==

A² + B² + C² = D²
A = a, where a is any member of [ N, Z, Q, R ]
Put B = a+1 , means B=A+1
C = a²+a, means C=A×B
D = a²+a+1 means D=C+1

Results: - A² + B² + C² = D² becomes true for any value of a where a is any member of [ N, Z, Q, R ]

Proof:
D²-C² = (a²+a+1 )² – (a²+a)²
= (1)( 2a²+2a+1)
= (a²+a²+2a+1)
= a²+(a+1)²
= A² + B²
∴ A² + B² + C² = D²

For Example 1:

A= , B= a+1 , C= A*B, D=C+1
Put a = 5 in A² + B² + C² = D²
Then (5)² + (6)² + (30)² = (31)²
∴25 + 36 + 900 = 961
Example 2:
Put a = -7
Then (-7)² + (-6)² + (42)² = (43)²
∴49 + 36 + 1764 = 1849

Example 3:
Put a =1.7
Then (1.7)² + ( 2.7)² + (4.59)² = (5.59)²
∴2.89 + 7.29 + 21.0681 = 31.2481

Example 4:
Put a =35
Then ( 35 )2+( 85 )2+( 2425 )2=( 4925 )2
925 + 6425 + 576625 = 2401625
9x2525x25 + 64x2525x25 + 57625x25 = 240125x25
∴ 225625 + 1600625 + 576625 = 2401625

Now for your satisfaction, take A= any value a, then take B= a+1 , C= A*B, D=C+1
and put in formula A² + B² + C² = D² to get successful result

June 22, 2019 at 05:28AM