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Straight figure with zero width and depth
In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature. It is a special case of a curve
Line_(geometry)
Type of non-Euclidean geometry
postulate of Euclidean geometry is replaced with: For any given line R and point P not on R, in the plane containing both line R and point P there are
Hyperbolic_geometry
Part of a line that is bounded by two distinct end points; line with two endpoints
In geometry, a line segment is a part of a straight line that is bounded by two distinct endpoints (its extreme points), and contains every point on the
Line_segment
Branch of mathematics
point, line, plane, distance, angle, surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications
Geometry
Mathematical model of the physical space
Euclidean geometry is a mathematical system attributed to Euclid, an ancient Greek mathematician, which he described in his textbook on geometry, Elements
Euclidean_geometry
Geometric property of certain lines with respect to a given triangle
In geometry, central lines are certain special straight lines that lie in the plane of a triangle. The special property that distinguishes a straight line
Central_line_(geometry)
Coordinates used to specify position of a line
In geometry, line coordinates are used to specify the position of a line just as point coordinates (or simply coordinates) are used to specify the position
Line_coordinates
Two geometries based on axioms closely related to those specifying Euclidean geometry
non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the
Non-Euclidean_geometry
Relation used in geometry
affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines
Parallel_(geometry)
Type of geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that
Projective_geometry
Topics referred to by the same term
Look up Line, line, or líne in Wiktionary, the free dictionary. Line most often refers to: In geometry, art, or similar: Line (geometry), an object that
Line
Type of metric geometry
Taxicab geometry or Manhattan geometry is geometry where the familiar Euclidean distance is ignored, and the distance between two points is instead defined
Taxicab_geometry
Euclidean geometry without distance and angles
independent of any metric, affine geometry is often considered as the study of parallel lines. Therefore, Playfair's axiom (Given a line L and a point P not on L
Affine_geometry
Study of geometry using a coordinate system
In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts
Analytic_geometry
Geometry of the surface of a sphere
Spherical geometry or spherics (from Ancient Greek σφαιρικά) is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of
Spherical_geometry
Fundamental object of geometry
In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical
Point_(geometry)
In mathematics, straight line touching a plane curve without crossing it
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at
Tangent
Common point(s) shared by two lines in Euclidean geometry
In Euclidean geometry, the intersection of a line and a line can be the empty set, a single point, or a line (if they coincide). Distinguishing these
Line–line_intersection
Study of angle-preserving transformations
In geometry, inversive geometry is the study of inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines
Inversive_geometry
Non-Euclidean geometry
elliptic geometry. In elliptic geometry, two lines perpendicular to a given line must intersect. In fact, all perpendiculars to a given line intersect
Elliptic_geometry
Line formed by the real numbers
of geometry a line without endpoints continues indefinitely in the positive and negative directions. A line with one endpoint as a ray, and a line with
Number_line
Branch of mathematics
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems
Algebraic_geometry
Overview of and topical guide to geometry
Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive
Outline_of_geometry
Branch of computer science
Computational geometry is a branch of computer science devoted to the study of algorithms that can be stated in terms of geometry. Some purely geometrical
Computational_geometry
Geometric system with a finite number of points
finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean line contains
Finite_geometry
Unobstructed line between an observer and a subject of interest
The line of sight, also known as visual axis or sightline (also sight line), is an imaginary line between a viewer/observer/spectator's eye(s) and a subject
Line_of_sight
Lines not in the same plane
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair
Skew_lines
Branch of mathematics
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds.
Differential_geometry
An auxiliary line (or helping line) is an extra line needed to complete a proof in plane geometry. Other common auxiliary constructs in elementary plane
Auxiliary_line
Geometric axiom
axiom in Euclidean geometry. It states that, in two-dimensional geometry: If a straight line intersects two other straight lines forming two interior angles
Parallel_postulate
Lines which intersect at a single point
In geometry, lines in a plane or higher-dimensional space are concurrent if they intersect at a single point. The set of all lines through a point is called
Concurrent_lines
Geometric representation of a force on an object
on the body, which tends to rotate it.[citation needed] For the simple geometry associated with the figure, there are three equivalent equations for the
Line_of_action
Pattern like a row of Ws joined together
a single line made up of line segments of usually constant length joined by usually constant angles in alternating directions. In geometry, this pattern
Zigzag
Unique point and line of a conic section
In geometry, a pole and polar are respectively a point and a line that have a unique reciprocal relationship with respect to a given conic section. Polar
Pole_and_polar
Bisection of Euclidean space by a hyperplane
Hemisphere (geometry) Line (geometry) Nef polygon, construction of polyhedra using half-spaces Poincaré half-plane model Quadrant (solid geometry) Siegel
Half-space_(geometry)
Type of outdoor adventure challenge
A straight line mission is an outdoor recreational activity where participants attempt to cross an area in a completely straight line, typically on foot
Straight_line_mission
German mathematician (1849–1925)
analysis, non-Euclidean geometry, and the associations between geometry and group theory. His 1872 Erlangen program classified geometries by their basic symmetry
Felix_Klein
Shape with three sides
geometry. The corners, also called vertices, are zero-dimensional points while the sides connecting them, also called edges, are one-dimensional line
Triangle
In geometry, a supporting line L of a curve C in the plane is a line that contains a point of C, but does not separate any two points of C. In other words
Supporting_line
Method of assigning coordinates to every line in projective 3-space
In geometry, Plücker coordinates, introduced by Julius Plücker in the 19th century, are a way to assign six homogeneous coordinates to each line in projective
Plücker_coordinates
Study of geometries as axiomatic systems
Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean
Foundations_of_geometry
Arrangement of steering linkages
The Ackermann steering geometry (also called Ackermann's steering trapezium) is a geometric arrangement of linkages in the steering of a car or other vehicle
Ackermann_steering_geometry
Historical development of geometry
Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") arose as the field of knowledge dealing with spatial relationships. Geometry
History_of_geometry
Line intersecting 2 coplanar lines at 2 points
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing
Transversal_(geometry)
Geometry without the parallel postulate
Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally
Absolute_geometry
Branch of geometry that studies combinatorial properties and constructive methods
Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric
Discrete_geometry
Geometric axis of rotation and translation
screw axis (helical axis or twist axis) is a line that is simultaneously the axis of rotation and the line along which translation of a body occurs. Chasles'
Screw_axis
Study of complex manifolds and several complex variables
geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry
Complex_geometry
Geometric line segment whose endpoints lie on a circular arc
In geometry, a chord (from Latin chorda 'catgut, string') of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord
Chord_(geometry)
Geometry of stereo vision
Epipolar geometry is the geometry of stereo vision. When two cameras view a 3D scene from two distinct positions, there are a number of geometric relations
Epipolar_geometry
Geometry without using coordinates
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic
Synthetic_geometry
Branch of differential geometry and differential topology
used interchangeably with "symplectic geometry". The name "complex group" formerly advocated by me in allusion to line complexes, as these are defined by
Symplectic_geometry
Line that intersects a curve at least twice
In geometry, a secant is a line that intersects a curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning
Secant_line
Line segment joining two adjacent vertices in a polygon or polytope
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. In a polygon,
Edge_(geometry)
Topological space in group theory
parameterize them by line co-ordinates: these are the 2×2 minors of the 4×2 matrix with columns two basis vectors for the subspace. The geometry of the resulting
Homogeneous_space
Mathematical treatise by Euclid
four postulates became the focus of a long line of research leading to the development of non-Euclidean geometry. Book I also includes 48 propositions, which
Euclid's_Elements
Branch of differential geometry
Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds. An example of a Riemannian manifold is a surface, on which
Riemannian_geometry
Branch of geometry
Descriptive geometry is a type of technical drawing and the branch of geometry which allows the representation of three-dimensional objects in two dimensions
Descriptive_geometry
Concept in mathematics
In mathematics, integral geometry is the theory of measures on a geometrical space invariant under the symmetry group of that space. In more recent times
Integral_geometry
Branch of mathematics concerned with the movement of shapes and sets
mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups
Transformation_geometry
Relationship between two lines that meet at a right angle
In geometry, two geometric objects are perpendicular if they intersect at right angles, i.e. at an angle of 90 degrees or π/2 radians. The condition of
Perpendicular
Geometric model of the physical space
In geometry, a three-dimensional space is a mathematical space in which three values (termed coordinates) are required to determine the position of a point
Three-dimensional_space
Completion of the usual space with "points at infinity"
In synthetic geometry, point and line are primitive entities that are related by the incidence relation "a point is on a line" or "a line passes through
Projective_space
Property shared by codirectional lines
In geometry, direction, also known as spatial direction, vector direction or relative direction, is the common characteristic of all rays which coincide
Direction_(geometry)
Family of geometric objects with a common property
In geometry, a pencil is a family of geometric objects with a common property, for example the set of lines that pass through a given point in a plane
Pencil_(geometry)
Conic solid with a polygonal base
14603. See table III, line 1. Uehara, Ryuhei (2020), Introduction to Computational Origami: The World of New Computational Geometry, Springer, p. 62, doi:10
Pyramid_(geometry)
Branch of finite geometry
Galois geometry (named after the 19th-century French mathematician Évariste Galois) is the branch of finite geometry that is concerned with algebraic
Galois_geometry
Field of mathematics which studies incidence structures
In mathematics, incidence geometry is the study of incidence structures. A geometric structure such as the Euclidean plane is a complicated object that
Incidence_geometry
When a shape does not change when rotated
Axial symmetry is symmetry around an axis or line (geometry). An object is said to be axially symmetric if its appearance is unchanged if transformed around
Axial_symmetry
VLSI chip
that a pipeline of twelve Geometry Engines would comprise a Geometry System "to accomplish 4 × 4 matrix multiplications; line, character, and polygon clipping;
Geometry_Engine
Affine subspace of a Euclidean space
In geometry, a flat is an affine subspace, i.e. a subset of an affine space that is itself an affine space. Particularly, in the case the parent space
Flat_(geometry)
Property of a mathematical space
back to René Descartes, substantial development of a higher-dimensional geometry only began in the 19th century, via the work of Arthur Cayley, William
Dimension
Two closely related mathematical subjects
algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with
Algebraic geometry and analytic geometry
Algebraic_geometry_and_analytic_geometry
French officer, engineer, physicist and mathematician
geometric systems called ray systems, closely connected to Julius Plücker's line geometry. He conducted experiments to verify Christiaan Huygens's theories of
Étienne-Louis_Malus
Type of curve in hyperbolic geometry
hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight line (its
Hypercycle_(geometry)
Projective construction in ring theory
or as permutations. For a finite field GF(q), the projective line is the Galois geometry PG(1, q). J. W. P. Hirschfeld has described the harmonic tetrads
Projective_line_over_a_ring
Infinitely detailed mathematical structure
the straight line was self-similar in this sense). In his writings, Leibniz used the term "fractional exponents", but lamented that "Geometry" did not yet
Fractal
Set of points that satisfy some specified conditions
In geometry, a locus (plural: loci; Latin for 'place, location') is a set of all points (commonly, a line, a line segment, a curve or a surface), whose
Locus_(mathematics)
Homogeneous quotient space of a semisimple Lie group by a parabolic subgroup
In differential geometry and the study of Lie groups, a parabolic geometry is a homogeneous space G/P which is the quotient of a semisimple Lie group G
Parabolic geometry (differential geometry)
Parabolic_geometry_(differential_geometry)
Type of incidence structure
to be incident with a line l {\displaystyle l} if ( p , l ) ∈ I {\displaystyle (p,l)\in I} . It is a (finite) partial geometry if there are integers
Partial_geometry
Application of geometry in number theory
Minkowski (1896) initiated this line of research at the age of 26 in his work The Geometry of Numbers. The geometry of numbers has a close relationship
Geometry_of_numbers
Points and lines with equal incidences
In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines, such
Configuration_(geometry)
Field of algebraic geometry
In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside
Birational_geometry
In geometry, the point–line–plane postulate is a collection of assumptions (axioms) that can be used in a set of postulates for Euclidean geometry in
Point–line–plane_postulate
Model of hyperbolic geometry
In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which all points are inside
Poincaré_disk_model
Czech-American mathematician
Hlavatý, V. (1953). Differential line geometry. Translated by H. Levy. Groningen: Noordhoff. Hlavatý, V. (1957). Geometry of Einstein's Unified Field Theory
Václav_Hlavatý
Form of geometry without distances
Ordered geometry is a form of geometry featuring the concept of intermediacy (or "betweenness") but, like projective geometry, omitting the basic notion
Ordered_geometry
Point on a line segment which is equidistant from both endpoints
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and
Midpoint
Point where two or more curves, lines, or edges meet
In geometry, a vertex (pl.: vertices or vertexes), also called a corner, is a point where two or more curves, lines, or line segments meet or intersect
Vertex_(geometry)
Relation between sides of a right triangle
theorem or Pythagoras's theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of
Pythagorean_theorem
Geometry where the axiom of Archimedes is negated
this geometry, there are significant differences from Euclidean geometry; in particular, there are infinitely many parallels to a straight line through
Non-Archimedean_geometry
Transformation of a geometric space preserving structure
In geometry, a motion is an isometry of a metric space. For instance, a plane equipped with the Euclidean distance metric is a metric space in which a
Motion_(geometry)
Study of angle-preserving transformations of a geometric space
conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry is
Conformal_geometry
2D surface which extends indefinitely
1-dimensional complex manifold, called the complex line. Many fundamental tasks in mathematics, geometry, trigonometry, graph theory, and graphing are performed
Plane_(mathematics)
Mathematics of varieties with integer coordinates
geometry. The extensive development of algebraic geometry in the 20th century produced powerful tools to study these equations. Diophantine geometry is
Diophantine_geometry
Principal directions in aviation
and parallel to the wings of a winged aircraft, parallel to the buttock line. Longitudinal axis, or roll axis — an axis drawn through the body of the
Aircraft_principal_axes
Shape formed from points common to other shapes
In geometry, an intersection between geometric objects (seen as sets of points) is a point, line, or curve common to two or more objects (such as lines
Intersection_(geometry)
Linear landscape feature
See also Line (geometry) A lineament is a linear feature in a landscape which is an expression of an underlying geological structure such as a fault. Typically
Lineament
Planar surface that forms part of the boundary of a solid object
sense. In elementary geometry, polyhedra are defined in various ways as shapes defined by systems of vertices (points), edges (line segments), and faces
Face_(geometry)
Class of algorithms which use a moving line to solve geometrical problems
In computational geometry, a sweep line algorithm or plane sweep algorithm is an algorithmic paradigm that uses a conceptual sweep line or sweep surface
Sweep_line_algorithm
LINE GEOMETRY
LINE GEOMETRY
Female
Hindi/Indian
(लीना) Hindi name LINA means "absorbed in; merged." Compare with other forms of Lina.
Female
Vietnamese
Vietnamese name LIEN means "lotus flower."
Female
English
 English short form of Latin Linnaea, LINN means "twin flower." Compare with other forms of Linn.
Female
Vietnamese
Vietnamese name LINH means "spring."
Female
French
French feminine form of Roman Cælinus, CÉLINE means "heaven."
Female
English
 Variant spelling of English Aileen, ALINE means "little Eve." Compare with another form of Aline.
Surname or Lastname
English
English : variant of Lind 2 and Line 1.Irish : variant of Lane 2.Scottish : habitational name from places so named in Ayrshire, Peebles-shire, and Wigtownshire.
Female
Swedish
 Short form of Swedish Linnéa, LINN means "twin flower." Compare with other forms of Linn.
Male
Italian
Italian and Spanish form of Latin Linus, LINO means either "a cry of grief"Â or "flax, linen."
Male
Native American
Native American Miwok name LISE means "salmon head rising above water." Compare with feminine Lise.
Female
English
Short form of French Éliane, LIANE means "sun."Â
Female
French
 Contracted form of French Adeline, ALINE means "little noble." Compare with another form of Aline.
Female
German
 Short form of German Helene, possibly LENE means "torch." Compare with another form of Lene.
Surname or Lastname
English
English : metonymic occupational name for a dresser of flax, from Middle English lynet, lynt ‘flax’.Dutch : from a short form of a Germanic name formed with lind (see Linde 1).Dutch : metonymic occupational name for a linen weaver or merchant.
Female
Yiddish
 Yiddish name derived from the word bin(e), BINE means "bee." Compare with other forms of Bine.
Girl/Female
English
Path; roadway.Lane and Laine.
Female
Norwegian
Danish and Norwegian form of German Liese, LISE means "God is my oath."Â Compare with masculine Lise.
Surname or Lastname
English
English : from the medieval female personal name Line, a reduced form of Cateline (see Catlin) and of various other names, such as Emmeline and Adeline, containing the Anglo-Norman French diminutive suffix -line (originally a double diminutive, composed of the elements -el and -in).French (Liné) : metonymic occupational name for a linen weaver or a linen merchant, from an Old French adjective liné ‘made of linen’.
Surname or Lastname
English
English : metronymic from Line.
Female
Welsh
 Welsh name LINN means "lake" or "waterfall." Compare with other forms of Linn.
LINE GEOMETRY
LINE GEOMETRY
Boy/Male
Gujarati, Indian, Tamil
Long Life
Surname or Lastname
English
English : variant spelling of Bailes.
Boy/Male
Scottish
from the craggy hills.
Biblical
the Lord is my father,father (i.e., "possessor or worshipper") of Jehovah
Boy/Male
Indian, Telugu
Make Others Happy with his Friendship
Girl/Female
Tamil
Cardamom
Boy/Male
Native American
Never silent.
Biblical
turning, or captivity, or seat, of God
Boy/Male
Tamil
Akanshit | அகநà¯à®·à®¿à®¤
One who is desired
Boy/Male
Hindu
LINE GEOMETRY
LINE GEOMETRY
LINE GEOMETRY
LINE GEOMETRY
LINE GEOMETRY
n.
Flax; linen.
n.
One who lines, as, a liner of shoes.
superl.
Made of fine materials; light; delicate; as, fine linen or silk.
n.
Direction; as, the line of sight or vision.
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
a.
To change by fine gradations; as (Naut.), to fine down a ship's lines, to diminish her lines gradually.
n.
The course followed by anything in motion; hence, a road or route; as, the arrow descended in a curved line; the place is remote from lines of travel.
v. t.
To form into a line; to align; as, to line troops.
n.
A measuring line or cord.
n.
A linen thread or string; a slender, strong cord; also, a cord of any thickness; a rope; a hawser; as, a fishing line; a line for snaring birds; a clothesline; a towline.
n.
A series or succession of ancestors or descendants of a given person; a family or race; as, the ascending or descending line; the line of descent; the male line; a line of kings.
n.
A connected series of public conveyances, and hence, an established arrangement for forwarding merchandise, etc.; as, a line of stages; an express line.
n.
A straight row; a continued series or rank; as, a line of houses, or of soldiers; a line of barriers.
n.
A series of various qualities and values of the same general class of articles; as, a full line of hosiery; a line of merinos, etc.
n.
The equator; -- usually called the line, or equinoctial line; as, to cross the line.
v. t.
To cover the inner surface of; as, to line a cloak with silk or fur; to line a box with paper or tin.
n.
Anything doubled and closed like a link; as, a link of horsehair.
v. t.
To read or repeat line by line; as, to line out a hymn.
n.
A short letter; a note; as, a line from a friend.