www .etc .usf www.jwilson.coe.uga.edu .edu Hero of Alexandria Greek Mathematician and Engineer c. 10 – c. 70 AD Derivation of Heron’s Formula Derivation of Heron’s Formula Derivation of Heron’s Formula Derivation of Heron’s Formula Heron’s Most Famous Inventions • Aeolipile (First Recorded Steam Engine) • Fire-Activated Temple Doors • Heron’s Fountain • First Vending Machine • First Wind-Powered Organ Aeolipile First Recorded Steam Engine - Water is heated up by the fire, turns into steam, and exits the bent pipes, causing the ball to turn Amelia Carolina Sparavigna Fire-Activated Temple Doors How it works - The globe must first be filled up halfway with water Amelia Carolina Sparavigna Fire-Activated Temple Doors How it works - When the fire is lit, the pressure of air in the altar and globe increases - The increased pressure pushes the water into the vessel Amelia Carolina Sparavigna Fire-Activated Temple Doors How it works - The vessel full of water pulls the chains down, turning the hinges to open the door - The weight pulls the door shut when the fire is extinguished Amelia Carolina Sparavigna Heron’s Fountain - Precondition: The middle basin must be filled up with water - Powered by air pressure http://en.wikipedia.org/wiki/Heron's_fountain Heron’s Fountain - Precondition: The middle basin must be filled up with water - Powered by air pressure http://en.wikipedia.org/wiki/Heron's_fountain Other Inventions Vending Machine Wind Powered Organ www.neatorama. com www.fineartamerica. com Other Inventions Vending Machine Wind Powered Organ www.neatorama. com www.fineartamerica. com Advances in Optics - Hero described a principle of reflection which stated that a ray of light that goes from point A to point B, suffering any number of reflections on flat mirrors, in the same medium, has a smaller path length than any nearby path - This discovery led to Fermat’s Principle which led to Snell’s Law