Math challenge

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Across
  1. 2. a line that a graph approaches but does not intersect
  2. 4. mathematician, who had created a theorem about sides of right-angled triangle
  3. 7. person, who created a scheme for approximating the roots of a polynomial.
  4. 9. a collection of numbers arranged into a fixed number of rows and columns.
  5. 10. it means to put in the place of another
  6. 11. If two things are ______, they are next to each other
Down
  1. 1. the ratio of likely events to all possible
  2. 3. a device used for measuring and drawing angles
  3. 5. a type of mathematics that deals with points, lines, angles and shapes
  4. 6. (!), is a quantity defined for all integers greater than or equal to 0
  5. 8. mathematical constant, the ratio of a circle's circumference to its diameter