Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Line_(geometry)> ?p ?o }
- Line_(geometry) abstract "The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth. Lines are an idealization of such objects. Until the seventeenth century, lines were defined in this manner: "The [straight or curved] line is the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which […] will leave from its imaginary moving some vestige in length, exempt of any width. […] The straight line is that which is equally extended between its points"Euclid described a line as "breadthless length" which "lies equally with respect to the points on itself"; he introduced several postulates as basic unprovable properties from which he constructed the geometry, which is now called Euclidean geometry to avoid confusion with other geometries which have been introduced since the end of nineteenth century (such as non-Euclidean, projective and affine geometry).In modern mathematics, given the multitude of geometries, the concept of a line is closely tied to the way the geometry is described. For instance, in analytic geometry, a line in the plane is often defined as the set of points whose coordinates satisfy a given linear equation, but in a more abstract setting, such as incidence geometry, a line may be an independent object, distinct from the set of points which lie on it.When a geometry is described by a set of axioms, the notion of a line is usually left undefined (a so-called primitive object). The properties of lines are then determined by the axioms which refer to them. One advantage to this approach is the flexibility it gives to users of the geometry. Thus in differential geometry a line may be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and, for example, permits physicists to think of the path of a light ray as being a line.A line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its end points. Depending on how the line segment is defined, either of the two end points may or may not be part of the line segment. Two or more line segments may have some of the same relationships as lines, such as being parallel, intersecting, or skew, but unlike lines they may be none of these, if they are coplanar and either do not intersect or are collinear.".
- Line_(geometry) thumbnail FuncionLineal01.svg?width=300.
- Line_(geometry) wikiPageExternalLink Line_(geometry).
- Line_(geometry) wikiPageExternalLink StraightLine.shtml.
- Line_(geometry) wikiPageID "946975".
- Line_(geometry) wikiPageLength "25664".
- Line_(geometry) wikiPageOutDegree "141".
- Line_(geometry) wikiPageRevisionID "681840002".
- Line_(geometry) wikiPageWikiLink Affine_coordinate_system.
- Line_(geometry) wikiPageWikiLink Affine_coordinates.
- Line_(geometry) wikiPageWikiLink Affine_function.
- Line_(geometry) wikiPageWikiLink Affine_geometry.
- Line_(geometry) wikiPageWikiLink Affine_space.
- Line_(geometry) wikiPageWikiLink Affine_transformation.
- Line_(geometry) wikiPageWikiLink Algebraic_curve.
- Line_(geometry) wikiPageWikiLink Analytic_geometry.
- Line_(geometry) wikiPageWikiLink Angle.
- Line_(geometry) wikiPageWikiLink Arrangement_of_lines.
- Line_(geometry) wikiPageWikiLink Asymptote.
- Line_(geometry) wikiPageWikiLink Axiom.
- Line_(geometry) wikiPageWikiLink Cartesian_coordinate_system.
- Line_(geometry) wikiPageWikiLink Cartesian_plane.
- Line_(geometry) wikiPageWikiLink Category:Analytic_geometry.
- Line_(geometry) wikiPageWikiLink Category:Elementary_geometry.
- Line_(geometry) wikiPageWikiLink Category:Mathematical_concepts.
- Line_(geometry) wikiPageWikiLink Central_line_(geometry).
- Line_(geometry) wikiPageWikiLink Circle.
- Line_(geometry) wikiPageWikiLink Coefficient.
- Line_(geometry) wikiPageWikiLink Collinearity.
- Line_(geometry) wikiPageWikiLink Complex_number.
- Line_(geometry) wikiPageWikiLink Conic_section.
- Line_(geometry) wikiPageWikiLink Convex_polygon.
- Line_(geometry) wikiPageWikiLink Coordinate_geometry.
- Line_(geometry) wikiPageWikiLink Coplanar.
- Line_(geometry) wikiPageWikiLink Coplanarity.
- Line_(geometry) wikiPageWikiLink Curvature.
- Line_(geometry) wikiPageWikiLink Curve.
- Line_(geometry) wikiPageWikiLink Cut-the-Knot.
- Line_(geometry) wikiPageWikiLink Dependent_and_independent_variables.
- Line_(geometry) wikiPageWikiLink Determinant.
- Line_(geometry) wikiPageWikiLink Diagonal.
- Line_(geometry) wikiPageWikiLink Differential_geometry.
- Line_(geometry) wikiPageWikiLink Dimension.
- Line_(geometry) wikiPageWikiLink Directrix_of_a_conic_section.
- Line_(geometry) wikiPageWikiLink Disjoint_union.
- Line_(geometry) wikiPageWikiLink Distance.
- Line_(geometry) wikiPageWikiLink Distance_between_two_lines.
- Line_(geometry) wikiPageWikiLink Distance_between_two_straight_lines.
- Line_(geometry) wikiPageWikiLink Distance_from_a_point_to_a_line.
- Line_(geometry) wikiPageWikiLink Ellipse.
- Line_(geometry) wikiPageWikiLink Elliptic_geometry.
- Line_(geometry) wikiPageWikiLink End_(topology).
- Line_(geometry) wikiPageWikiLink Equidistant.
- Line_(geometry) wikiPageWikiLink Euclid.
- Line_(geometry) wikiPageWikiLink Euclidean_distance.
- Line_(geometry) wikiPageWikiLink Euclidean_geometry.
- Line_(geometry) wikiPageWikiLink Euclidean_space.
- Line_(geometry) wikiPageWikiLink Euclidean_triangle.
- Line_(geometry) wikiPageWikiLink Euclidean_vector.
- Line_(geometry) wikiPageWikiLink Euclids_Elements.
- Line_(geometry) wikiPageWikiLink Euler_line.
- Line_(geometry) wikiPageWikiLink Finite_field.
- Line_(geometry) wikiPageWikiLink First_degree_equation.
- Line_(geometry) wikiPageWikiLink General_position.
- Line_(geometry) wikiPageWikiLink Geodesic.
- Line_(geometry) wikiPageWikiLink Great_circle.
- Line_(geometry) wikiPageWikiLink Hesse_normal_form.
- Line_(geometry) wikiPageWikiLink Hexagon.
- Line_(geometry) wikiPageWikiLink Hilberts_axioms.
- Line_(geometry) wikiPageWikiLink Hyperbola.
- Line_(geometry) wikiPageWikiLink Incidence_(geometry).
- Line_(geometry) wikiPageWikiLink Incidence_geometry.
- Line_(geometry) wikiPageWikiLink Independent_variable.
- Line_(geometry) wikiPageWikiLink Line-line_intersection.
- Line_(geometry) wikiPageWikiLink Line_coordinates.
- Line_(geometry) wikiPageWikiLink Line_segment.
- Line_(geometry) wikiPageWikiLink Linear_equation.
- Line_(geometry) wikiPageWikiLink Line–line_intersection.
- Line_(geometry) wikiPageWikiLink Locus_(mathematics).
- Line_(geometry) wikiPageWikiLink Manhattan_distance.
- Line_(geometry) wikiPageWikiLink Matrix_(mathematics).
- Line_(geometry) wikiPageWikiLink Metric_space.
- Line_(geometry) wikiPageWikiLink Newton_line.
- Line_(geometry) wikiPageWikiLink Nikolai_Lobachevsky.
- Line_(geometry) wikiPageWikiLink Non-Euclidean_geometry.
- Line_(geometry) wikiPageWikiLink Normal_(geometry).
- Line_(geometry) wikiPageWikiLink Ordered_field.
- Line_(geometry) wikiPageWikiLink Origin_(mathematics).
- Line_(geometry) wikiPageWikiLink Otto_Hesse.
- Line_(geometry) wikiPageWikiLink Pappuss_hexagon_theorem.
- Line_(geometry) wikiPageWikiLink Parabola.
- Line_(geometry) wikiPageWikiLink Parallel_(geometry).
- Line_(geometry) wikiPageWikiLink Parametric_equation.
- Line_(geometry) wikiPageWikiLink Parametric_equations.
- Line_(geometry) wikiPageWikiLink Pascal_line.
- Line_(geometry) wikiPageWikiLink Pascals_theorem.
- Line_(geometry) wikiPageWikiLink Perpendicular.
- Line_(geometry) wikiPageWikiLink Perpendicular_lines.
- Line_(geometry) wikiPageWikiLink Plane_(geometry).
- Line_(geometry) wikiPageWikiLink Plane_(mathematics).