1. How do you find out what the solution to an equation looks like when you are not solving it?
A. The mathematicians discovered that it is possible to visualize the solution, even if you cannot write down a formula.
B. Although Poincare made little progress on chaos beyond the realization that it can occur, he introduced a powerful new method for studying dynamic systems.
C. The idea gained serious currency in the astronomical investigations of Poincare and it led him to one of the first discoveries of what we now call chaos.
D. Obviously you have to approach the whole problem from some other direction.
6. It was based upon a new kind of geometry, topology: the qualitative geometry of the continuous.