**Chemistry**

- Ideal Gas Law

- S =
*k*log*W* - Atmospheric Pressure Approximation and Average Height of Molecules

- Bateman Equations ( For up to 3 successive Decays)

**Mathematics**

- Pythagorean Theorem ( Could be original but definitely not an elegant proof)
- Trigonometric Double Angle Formulas

- Hyperbola (Conic Section)

- Quadratic Formula ( Without Completing Square and Minimizing Error Version)
- Variation of Parameters ( with Wronskian for Differential Equations)
- Sum of Powers
- Surface Area of Sphere (Without using Trig substitution in Integral)

## Physics

- Kepler’s 1st Law to Inverse Square Law
- From Newton to Kepler’s Laws Using Vectors

From Newton to Kepler’s 1st Law Using a Differential Equation

**Einstein Special Relativity**

- Why Speed of Light Cannot Be Exceeded
- Relativistic Kinetic Energy Without Using Binomial Expansion

## Biology

- Continuous Logistic Equation for Population Dynamics