Blaise Pascal

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Across
  1. 1. This famous mathematician, physicist, writer and philosopher is what nationality?
  2. 4. The curve generated by a point on the circumference of a circle that rolls along a straight line, Pascal successfully formulated the area under this curve after Galileo was unable to do so.
  3. 8. this field of physics was one of Pascal’s primary focuses; it is the study of the weight of air.
  4. 9. pascal was thought to suffer from stomach ________, causing him serious abdominal discomfort and frequent hospital visits his whole life.
  5. 10. The third row of Pascal's triangle contains all the _________ numbers, just as the fourth row contains the tetrahedral numbers and so on.
  6. 11. He invented this mechanical machine in 1642, and it has proved to be quite useful, as we use it everyday in math.
  7. 13. This method of compression was developed using Pascal’s law, concerning fluid pressure.
  8. 15. He is most famous for his diagram of these types of coefficients in Pascal’s Triangle.
  9. 16. In Pascal's triangle, the entry in n-th row, k-th position of that row can also be written in n _______ k notation
  10. 17. Pascal also worked on a lot of geometry, where he came up with his theory called Hexagrammum Mysticum, regarding properties of which type of geometric shapes (hint: ellipse and parabola are examples)?
Down
  1. 2. Pascal invented one of the first wheels for this widely played gambling game.
  2. 3. Pascal's triangle is _________, meaning that the numbers in spot k and n-k are the same.
  3. 5. This famous Philosopher is considered to be Pascal’s predecessor and led him to form his own philosophical theory called “Pascal’s Wager”.
  4. 6. This area of mathematics was one of his two primary subjects of study and a large part of our class as well.
  5. 7. If Pascal's triangle is arranged in a downward sloping (to the right) fashion, the sum of each diagonal row is the next __________ number (this number is the sum of the previous two numbers in the sequence)
  6. 12. This field of math was heavily influenced by Pascal’s work in mathematics as it involves lots of mathematical predictions.
  7. 14. Pascal was a devout _____________, and his religious dedication proved nearly detrimental to his mathematic and scientific work, abandoning one for the other for years.