Page "History of geometry" Paragraph 16

For the ancient Greek mathematicians, geometry was the crown jewel of their sciences, reaching a completeness and perfection of methodology that no other branch of their knowledge had attained.

They expanded the range of geometry to many new kinds of figures, curves, surfaces, and solids ; they changed its methodology from trial-and-error to logical deduction ; they recognized that geometry studies " eternal forms ", or abstractions, of which physical objects are only approximations ; and they developed the idea of the " axiomatic method ", still in use today.