Triangle geometry serves as a good example. Later triangle geometers include Euler, Pascal, Ceva, and Feuerbach. A huge wave of interest and publications in triangle geometry swept through the last years of the 19th century but then collapsed during the early years of the 20th. Kimberling's book Triangle Centers and Central Triangles published in 1998 describes nearly 400 various centers and his online encyclopedia currently lists in excess of 500 remarkable points. Most of these were first discovered with the help of computer.
Computers open new horizons for experimentation while still keeping experiments inexpensive.
As a tool in mathematics education, computers hold a promise to get more students involved in mathematical experimentation. It remains to be seen whether many will and with what results. Experimentation leads to uncertainty. No doubt many students will find this difficult. New pedagogy will be required to teach how to use computers successfully.