Task: Text Categorization
Input (English): This man invented a primitive form of roulette in his goal to develop a perpetual motion machine. His namesake geometric theorem involves a hexagon inscribed in a conic section, whose opposite sides can be used to derive a special line. In fluid mechanics, a principle named for him allows people to break the bottom of a bottle by hitting the top; that principle states that pressure will be transmitted throughout an enclosed, static fluid. A wager named for this man, although philosophical, contributed to probability theory. Identify this French mathematician whose namesake triangle lists off binomial coefficients where each row corresponds to a different power.
Output (English): Science