// minds behind maths

Isaac Newton

1642–1727 · Physics, mathematics

Isaac Newton was an English physicist and mathematician, a central figure of the Scientific Revolution. In his 1687 work Philosophiae Naturalis Principia Mathematica, commonly called the Principia, he set out the three laws of motion and the law of universal gravitation, laying the foundations of classical mechanics. The first law describes inertia, the second relates force to mass and acceleration as F = ma, and the third pairs every action with an equal and opposite reaction. These laws describe the motion of everyday objects and celestial bodies with the same set of principles, and they are the basis for the force, energy and power calculators in this section. In mathematics, Newton shares credit with Leibniz for the invention of calculus, and in 1665 he generalised the binomial theorem to fractional and negative exponents — the result that expands powers such as (a+b)² and (a+b)³ and underlies the square and cube identities in the algebra section.

Source: Wikipedia — Isaac Newton

Formulas that trace back to Isaac Newton

(a+b)² + (a−b)² = 2(a²+b²) (a+b)² + (a-b)² = 2(a² + b²)
Difference of Two Cubes a³−b³ a³ - b³ = (a-b)(a² + ab + b²)
Newton's First Law (Inertia) ∑F = 0 ⇒ velocity stays constant
Newton's Laws of Motion F = m a (2nd law)
Newton's Third Law (Action–Reaction) F(A on B) = − F(B on A)
Sum of Two Cubes a³+b³ a³ + b³ = (a+b)(a² - ab + b²)
a³+b³+c³−3abc a³+b³+c³-3abc = (a+b+c)(a²+b²+c²-ab-bc-ca)