Euclidean pure mathematics, the study of plane and solid figures on the idea of axioms and theorems utilized by the Greek man of science geometer (c. 300 BCE). In its rough define, parabolic geometry is that the plane and geometry unremarkably schooled in secondary colleges. Indeed, till the last half of the nineteenth century, once non-Euclidean geometries attracted the eye of mathematicians, pure mathematics meant parabolic geometry. it's the foremost typical expression of general mathematical thinking. instead of the acquisition of easy algorithms to resolve equations by committal to memory, it demands true insight into the topic, clever ideas for applying theorems in special things, a capability to generalize from noted facts, ANd an insistence on the importance of proof. In Euclid’s nice work, the weather, the sole tools utilized for geometrical constructions were the ruler and therefore the compass—a restriction maintained in elementary parabolic geometry to the current day.
In its rigorous deductive organization, the weather remained the terribly model of scientific exposition till the top of the nineteenth century, once the German man of science David Hilbert wrote his famed Foundations of pure mathematics (1899). the fashionable version of parabolic geometry is that the theory of geometrician (coordinate) areas of multiple dimensions, wherever distance is measured by an appropriate generalization of the mathematician theorem. See {analytic pure mathematics|analytical geometry|coordinate geometry|geometry} and pure mathematics geometry.