Synthetic geometry
STUDY OF GEOMETRY WITHOUT THE USE OF COORDINATES OR FORMULAS.
Synthetical geometry; Computational synthetic geometry; Pure geometry; Synthetic proof
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is the study of geometry without the use of coordinates or formulae. It relies on the axiomatic method and the tools directly related to them, that is, compass and straightedge, to draw conclusions and solve problems.