superposition - (geometry) the placement of one object ideally in the position of another one in order to show that the two coincide

duality - (geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness

affine geometry - the geometery of affine transformations

elementary geometry, Euclidean geometry, parabolic geometry - geometry based on Euclid's axioms: e.g., only one line can be drawn through a point parallel to another line

fractal geometry - the geometry of fractals; "Benoit Mandelbrot pioneered fractal geometry"

non-Euclidean geometry - geometry based on axioms different from Euclid's

spherical geometry - the geometry of figures on the surface of a sphere

analytic geometry, analytical geometry, coordinate geometry - the use of algebra to study geometric properties; operates on symbols defined in a coordinate system

plane geometry - the geometry of 2-dimensional figures

solid geometry - the geometry of 3-dimensional space

descriptive geometry, projective geometry - the geometry of properties that remain invariant under projection

plane section, section - (geometry) the area created by a plane cutting through a solid

pencil - a figure formed by a set of straight lines or light rays meeting at a point

conic, conic section - (geometry) a curve generated by the intersection of a plane and a circular cone

eccentricity - (geometry) a ratio describing the shape of a conic section; the ratio of the distance between the foci to the length of the major axis; "a circle is an ellipse with zero eccentricity"

foursquare, square - (geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon; "you can compute the area of a square if you know the length of its sides"

angle of inclination, inclination - (geometry) the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis)

diagonal - (geometry) a straight line connecting any two vertices of a polygon that are not adjacent

translate - change the position of (figures or bodies) in space without rotation

construct - draw with suitable instruments and under specified conditions; "construct an equilateral triangle"

inscribe - draw within a figure so as to touch in as many places as possible

circumscribe - to draw a geometric figure around another figure so that the two are in contact but do not intersect

truncate - replace a corner by a plane

congruent - coinciding when superimposed

incongruent - not congruent