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noun. The mathematics of the properties, measurement, and relationships of points, lines, angles, surfaces, and solids.

noun. A system of geometry.

noun. A geometry restricted to a class of problems or objects.

noun. A book on geometry.

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noun. Configuration; arrangement.

noun. A surface shape.

noun. A physical arrangement suggesting geometric forms or lines.

noun. The oldest classification of geometry is , that in which it is divided according to the method of logical procedure, namely into synthetic and analytic, the method of geometrical analysis having been invented or taught by Plato. In modern times this classification intertwines with another, namely , that which is based on the mental instrument or equipment used, giving: pure or synthetic geometry; rational; descriptive; projective; algebraic, algorithmic, analytical, Cartesian, or coördinate; differential, infinitesimal, natural, or intrinsic; enumerative or denumerative. Some of these are subdivided on the same principle, as: (α) geometry of the ruler or straight-edge; (β) of the ruler and sect-carrier; (γ) of the ruler and unitsect-carrier; (δ) of the compasses; of the ruler and compasses; (ζ) of linkages. Further divisions are: By dimensionality: geometry on the straight or on the line; two-dimensional geometry; (α) plane geometry; (β) spherics; (γ) pseudo-spherics; tri-dimensional geometry: (α) geometry of planes; (β) solid geometry; (γ) spherics; four-dimensional geometry: (α) geometry of straight?; (β) of hyperspace; n-dimeimonal geometry. By elements: point geometry; straight or line; plane; point, straight, and plane; straightest or geodesic; geometry of the sphere; of other elements, By subject-matter: pure descriptive, pure projective, or pure positional geometry, or geometry of position; topologic geometry; metric geometry; geometry of curves; of surfaces; of solids; of hyper-solids; of numbers; of motion or kinematic. By assumptions made, omitted, or denied: Euclidean geometry; non-Euclidean; metageometry, or pan-geometry; finite geometry; semi-Euclidean; non-Legendrian; Archimedean; non-Archimedean; non-Arguesian; non-Pascalian. By the kind of space or universe of the geometry: Euclidean or parabolic geometry; Bolyaian, Lobachevskian, Bolyai-Lobachevskian, absolute, or hyperbolic; Riemannian, spherical, or double elliptic; Killing's, single elliptic, or simple elliptic; Clifford's or Clifford-Kleinian. By the complexity or difficulty of the part treated: elementary geometry; higher, By the period of its development: ancient or the antique geometry; modern; recent, of the triangle, or the Lemoine-Brocard.

noun. That branch of mathematics which deduces the properties of figures in space from their defining conditions, by means of assumed properties of space. Abbreviated geometry

noun. A text-book of geometry.

noun. Modern projective geometry, commonly written in German Geometrie der Lage, to distinguish it from .

noun. Higher synthetic geometry in general.

noun. The art of geometrical drawing.

noun. Geometry of three dimensions.

noun. That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.

noun. A treatise on this science.

noun. that branch of mathematical analysis which has for its object the analytical investigation of the relations and properties of geometrical magnitudes.

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noun. that part of geometry which treats of the graphic solution of all problems involving three dimensions.

noun. that part of geometry which treats of the simple properties of straight lines, circles, plane surface, solids bounded by plane surfaces, the sphere, the cylinder, and the right cone.

noun. that pert of geometry which treats of those properties of straight lines, circles, etc., which are less simple in their relations, and of curves and surfaces of the second and higher degrees.

noun. the branch of mathematics dealing with spatial relationships

noun. a type of geometry with particular properties

noun. the spatial attributes of an object, etc.

noun. the pure mathematics of points and lines and curves and surfaces