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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
Method for specifying point positions
the term line coordinates is used for any coordinate system that specifies the position of a line. It may occur that systems of coordinates for two different
Coordinate_system
Coordinate system used in projective geometry
example, two homogeneous coordinates are required to specify a point on the projective line and three homogeneous coordinates are required to specify a
Homogeneous_coordinates
Coordinates comprising two distances and an angle
around a main axis (a chosen directed line) and an auxiliary axis (a reference ray). The three cylindrical coordinates are: the point perpendicular distance
Cylindrical_coordinate_system
Coordinates comprising a distance and two angles
using a distance and two angles as its three coordinates. These are the radial distance, r, along the line connecting the point to a fixed point called
Spherical_coordinate_system
Escarpment in the Eastern United States
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Atlantic
Atlantic_Seaboard_Fall_Line
Method of assigning coordinates to every line in projective 3-space
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
Coordinate system using perpendicular axes
such as the polar coordinates for the plane, and the spherical and cylindrical coordinates for three-dimensional space. An affine line with a chosen Cartesian
Cartesian_coordinate_system
Chart displaying multivariate data
drawing a line between them, with an unknown read from the scale at the point where the line intersects that scale. The use of Parallel Coordinates as a visualization
Parallel_coordinates
Coordinate system based on distances from a triangle's sidelines
In geometry, the trilinear coordinates x : y : z of a point relative to a given triangle describe the relative directed distances from the three sidelines
Trilinear_coordinates
Tool from special relativity
Rindler coordinates or Rindler frame is a coordinate system or reference frame used to describe the hyperbolic acceleration of a uniformly accelerating
Rindler_coordinates
Geographic coordinate system
Geodetic coordinates are a type of curvilinear orthogonal coordinate system used in geodesy based on a reference ellipsoid. They include geodetic latitude
Geodetic_coordinates
Conventions used in the robotics research field
{\displaystyle p} on the line is chosen!) The advantage of the Plücker coordinates is that they are homogeneous. A line in Plücker coordinates has still four out
Line representations in robotics
Line_representations_in_robotics
Coordinate system that is defined by points instead of vectors
unity. Barycentric coordinates were introduced by August Möbius in 1827. They are special homogeneous coordinates. Barycentric coordinates are strongly related
Barycentric_coordinate_system
System to specify locations on Earth
compiled an extensive gazetteer and mathematically plotted world map using coordinates measured east from a prime meridian at the westernmost known land, designated
Geographic_coordinate_system
Former railway line in New South Wales, Australia
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Newnes
Newnes_railway_line
Coordinate system for the Schwarzschild geometry
In general relativity, Kruskal–Szekeres coordinates, named after Martin Kruskal and George Szekeres, are a coordinate system for the Schwarzschild geometry
Kruskal–Szekeres_coordinates
Coordinate system used for aircraft body measurements
Lofting coordinates are used for aircraft body measurements. The system derives from the one that was used in the shipbuilding lofting process, with longitudinal
Lofting_coordinates
Coordinates comprising a distance and an angle
polar axis is the line through the location and its antipodal point. There are various accounts of the introduction of polar coordinates as part of a formal
Polar_coordinate_system
List of all operational, under-construction and planned stations of Kolkata Metro
all coordinates in "Category:Kolkata Metro stations" using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX
List of Kolkata Metro stations
List_of_Kolkata_Metro_stations
Set of coordinates where the coordinate hypersurfaces all meet at right angles
easiest to derive in Cartesian coordinates (with orthogonal and straight-line axes), curvilinear orthogonal coordinates are often used instead for the
Orthogonal_coordinates
points on the line. In 2008, a report gave further coordinates. The defence ministry defined the line further on 30 July 2019. "Crossing the Line: The Makings
Median line of the Taiwan Strait
Median_line_of_the_Taiwan_Strait
Equation that does not involve powers or products of variables
Cartesian coordinates of a point of the Euclidean plane. The solutions of a linear equation form a line in the Euclidean plane, and, conversely, every line can
Linear_equation
coordinates) GPX (secondary coordinates) This is a list of stations of the Kochi Metro. There are 25 stations on the line from Aluva to Tripunithura railway
List_of_Kochi_Metro_stations
Straight figure with zero width and depth
y=r\sin \theta .} In polar coordinates, the equation of a line not passing through the origin—the point with coordinates (0, 0)—can be written r = p
Line_(geometry)
Metro line in Osaka prefecture, Japan
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Nagahori
Nagahori Tsurumi-ryokuchi Line
Nagahori_Tsurumi-ryokuchi_Line
Euclidean space without distance and angles
barycentric and affine coordinates are almost equivalent. In most applications, affine coordinates are preferred, as involving less coordinates that are independent
Affine_space
Line segment of infinitesimally small length
time coordinates), and indeed four-dimensional spacetime. Following are examples of how the line elements are found from the metric. The simplest line element
Line_element
Railway line in Sydney, New South Wales, Australia
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Richmond_railway_line
Surveyed border line between U.S. states of Delaware, Maryland, and Pennsylvania
The Mason–Dixon line, sometimes referred to as Mason and Dixon's Line, is a demarcation line separating four U.S. states: Pennsylvania, Maryland, Delaware
Mason–Dixon_line
Line of longitude
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180th_meridian
Railway line in Queensland, Australia
Map all coordinates in "Category:North Coast railway line, Queensland" using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary
North Coast railway line, Queensland
North_Coast_railway_line,_Queensland
Category of coordinate systems
r_{0}\sec(\theta -\theta _{0})} where r0 and θ0 are the coordinates of the nearest point on the line to the pole. The Poincaré half-plane model is closely
Coordinate systems for the hyperbolic plane
Coordinate_systems_for_the_hyperbolic_plane
In mathematics, biangular coordinates are a coordinate system for the plane where C 1 {\displaystyle C_{1}} and C 2 {\displaystyle C_{2}} are two fixed
Biangular_coordinates
Washington Metro rapid transit line
Line (Coordinates: 38°53′03″N 77°03′46″W / 38.884224°N 77.062888°W / 38.884224; -77.062888 (Arlington Cemetery Station of Metrorail's Blue Line in
Blue_Line_(Washington_Metro)
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Square Butte (transmission line)
Square_Butte_(transmission_line)
Transmission-line crossings of the Bosporus strait in Istanbul, Turkey
OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Bosporus overhead line crossing 1 was
Bosporus overhead line crossings
Bosporus_overhead_line_crossings
Common point(s) shared by two lines in Euclidean geometry
c1 = 0 and a2x + b2y + c2 = 0. We can represent these two lines in line coordinates as U1 = (a1, b1, c1) and U2 = (a2, b2, c2). The intersection P′ of
Line–line_intersection
System configuration relative to another
In analytical mechanics, generalized coordinates are a set of parameters used to represent the configuration of a system in a configuration space. These
Generalized_coordinates
Coordinates suitable for following a free-falling observer in a Schwarzchild metric
Gullstrand–Painlevé coordinates are a particular set of coordinates for the Schwarzschild metric – a solution to the Einstein field equations which describes
Gullstrand–Painlevé coordinates
Gullstrand–Painlevé_coordinates
3-D coordinate system of the human brain
Talairach coordinates, also known as Talairach space, is a 3-dimensional coordinate system (known as an 'atlas') of the human brain, which is used to
Talairach_coordinates
Sites making up an early warning radar system
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) Lat/Long
List_of_DEW_Line_Sites
Railway line in Sydney, Australia
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Richmond–Kurrajong railway line
Richmond–Kurrajong_railway_line
Historically significant latitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The parallel
Parallel_36°30′_north
Geometric property of certain lines with respect to a given triangle
that distinguishes a straight line as a central line is manifested via the equation of the line in trilinear coordinates. This special property is related
Central_line_(geometry)
Polynomial characterizing lines in projective 3-space
exterior square Λ2V of V. The line coordinates obtained this way are known as Plücker coordinates. These Plücker coordinates satisfy the quadratic relation
Klein_quadric
Curvilinear coordinate system
A system of skew coordinates, sometimes called oblique coordinates, is a curvilinear coordinate system where the coordinate surfaces are not orthogonal
Skew_coordinates
Methods to identify locations on the Sun
define longitude. In Stonyhurst coordinates, the longitude is fixed for an observer on Earth, and, in Carrington coordinates, the longitude is fixed for the
Solar_coordinate_systems
Circles of latitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The 36th
Circles of latitude between the 35th parallel north and the 40th parallel north
Circles_of_latitude_between_the_35th_parallel_north_and_the_40th_parallel_north
3-D coordinate system centered on the Earth
confused for the geodetic altitude. Conversions between ECEF and geodetic coordinates (latitude and longitude) are discussed at geographic coordinate conversion
Earth-centered, Earth-fixed coordinate system
Earth-centered,_Earth-fixed_coordinate_system
Local coordinates that are adapted to a geodesic
Fermi coordinates. In one use they are local coordinates that are adapted to a geodesic. In a second, more general one, they are local coordinates that
Fermi_coordinates
subspace of V, and hence a line of P(V). This line may be denoted by line coordinates [a, b, c], which are also homogeneous coordinates since non-zero scalar
Incidence_(geometry)
Coordinate system in two dimensions
between a line of reference (the x-axis) and the line through the origin and the point. The angular coordinate is the same as for polar coordinates, while
Log-polar_coordinates
Decentralized Network Coordinate System
the measured RTTs between nodes, and when the system is simulated, the coordinates of nodes correspond to the resulting 3D positions of the masses in the
Vivaldi_coordinates
Railway line in Queensland, Australia
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Dugandan_railway_line
Coordinate system whose directions vary in space
geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from
Curvilinear_coordinates
Line of longitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The meridian
143rd_meridian_west
is not the same. It's possible to express the above line coordinates as homogeneous coordinates z = [ sin ( θ + ε R 2 ) : cos ( θ + ε R 2 ) ] {\displaystyle
Laguerre_transformations
Curve from a cone intersecting a plane
closed curve tangent to the line at infinity. Further extension, by expanding the real coordinates to admit complex coordinates, provides the means to see
Conic_section
2010 studio album by Negligence
Coordinates of Confusion is the second album by Slovenian thrash metal band Negligence. It was released by Metal Blade Records on October 8, 2010, making
Coordinates_of_Confusion
Coordinate system in black hole physics
the angular coordinates Ω = ( θ , ϕ ) {\displaystyle \Omega =(\theta ,\phi )} are exactly the usual polar spherical angular coordinates: θ {\displaystyle
Schwarzschild_coordinates
Coordinate system
Lemaître coordinates are a particular set of coordinates for the Schwarzschild metric—a spherically symmetric solution to the Einstein field equations
Lemaître_coordinates
Geometry problem
{a^{2}+b^{2}}}}.} The point on this line that is closest to ( x 0 , y 0 ) {\displaystyle (x_{0},y_{0})} has coordinates: x = b ( b x 0 − a y 0 ) − a c a
Distance from a point to a line
Distance_from_a_point_to_a_line
Project to construct a linear smart city in Tabuk, Saudi Arabia
The Line (Arabic: ذا لاين) is a planned linear settlement in Neom, Tabuk Province, Saudi Arabia, to be housed entirely in a single very long arcology.
The_Line,_Saudi_Arabia
Geodetic reference system
adjustment of the coordinates of neighboring observation sites of the BC-4, SECOR, Doppler, and Baker–Nunn systems. Also, eight geodimeter long-line precise traverses
World_Geodetic_System
Astronomical location
position of an object applies. Therefore, a complete specification of the coordinates for an astronomical object requires both the date of the equinox and
Equinox (celestial coordinates)
Equinox_(celestial_coordinates)
Concept in projective geometry
point coordinates or hyperplane coordinates respectively (in the important two-dimensional case, hyperplane coordinates are called line coordinates). Some
Duality_(projective_geometry)
Metro line in Sendai, Japan
Line. Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates)
Namboku_Line_(Sendai)
Coordinate system used in general relativity
In general relativity, Eddington–Finkelstein coordinates are a pair of coordinate systems for a Schwarzschild geometry (e.g. a spherically symmetric black
Eddington–Finkelstein coordinates
Eddington–Finkelstein_coordinates
Former railway line in Victoria, Australia
all coordinates in "Category:Walhalla railway line" using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX
Walhalla_railway_line
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) Extreme
List of extreme points of U.S. states and territories
List_of_extreme_points_of_U.S._states_and_territories
Coordinate system used on the Moon
gives the position north or south of the lunar equator. Both of these coordinates are given in degrees. Astronomers defined the fundamental location in
Selenographic coordinate system
Selenographic_coordinate_system
Military unit
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North_Warning_System
Cruise line operation, subsidiary of The Walt Disney Company
Disney Cruise Line is the cruise line subsidiary of the Walt Disney Company. Incorporated in 1996 as Magical Cruise Company, Limited with the launch of
Disney_Cruise_Line
Smallest 3D projective space
aibj − ajbi, and the line coordinates satisfy p12 p34 + p13 p24 + p14 p23 = 0. Each line in projective 3-space thus has six coordinates, and can be represented
PG(3,2)
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Lake Washington sunken forests
Lake_Washington_sunken_forests
Coordinates to capture characteristics of rotating frames of reference
orthogonal coordinate chart. The Born coordinates are also sometimes referred to as rotating cylindrical coordinates. In the new chart, the world lines of
Born_coordinates
Line with a point at infinity added
line P1(K) may be represented by an equivalence class of homogeneous coordinates, which take the form of a pair [ x 1 : x 2 ] {\displaystyle [x_{1}:x_{2}]}
Projective_line
Neighborhood of Port Harcourt in Rivers State, Nigeria
D-line is a commercial and urban residential area of Port Harcourt, Rivers State, Nigeria. Its geographical coordinates are 4°48'8" North, 7°0'10" East
D-line,_Port_Harcourt
Linear park in New York City
Template:Attached KML/High Line KML is not from Wikidata The High Line is a 1.45-mile-long (2.33 km) elevated linear park, greenway, and rail trail created
High_Line
Australian passenger train service
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Savannahlander
Savannahlander
Study of geometry using a coordinate system
real number coordinates. Similarly, Euclidean space is given coordinates where every point has three coordinates. The value of the coordinates depends on
Analytic_geometry
Collection of suburban communities in Pennsylvania, United States
The Philadelphia Main Line, known simply as the Main Line, is an informally delineated historical and social region of suburban Philadelphia, Pennsylvania
Philadelphia_Main_Line
MARC commuter rail service from Washington, D.C., to Perryville, Maryland
complete Purple Line". The Washington Post. KML file (edit · help) Template:Attached KML/Penn Line KML is from Wikidata Map all coordinates using OpenStreetMap
Penn_Line
Canadian radar defence line
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Mid-Canada
Mid-Canada_Line
Rail service in Sydney, New South Wales, Australia
The T2 Leppington & Inner West Line is a suburban rail service operated by Sydney Trains, serving the inner west and south-western suburbs of Sydney, Australia
Leppington_&_Inner_West_Line
Narrow gauge railway line in Queensland, Australia
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Great
Great Northern Railway (Mt Isa line)
Great_Northern_Railway_(Mt_Isa_line)
Line of longitude
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100th_meridian_west
Line of longitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The meridian
11th_meridian_east
Railway line in Queensland, Australia
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Tablelands
Tablelands_railway_line
JSON subset for geospatial data
"Point", "coordinates": [102.0, 0.5] }, "properties": { "prop0": "value0" } }, { "type": "Feature", "geometry": { "type": "LineString", "coordinates": [ [102
GeoJSON
Line-drawing algorithm
the pixel at (7,5)), and the pixel centers have integer coordinates. The endpoints of the line are the pixels at ( x 0 , y 0 ) {\displaystyle (x_{0},y_{0})}
Bresenham's_line_algorithm
Line of longitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The meridian
18th_meridian_east
Strait between Mainland China and Taiwan
2019, Taiwan's defense ministry provided coordinates for the median line. The ministry recognizes the line as running from 27°N, 122°E in the north to
Taiwan_Strait
Railway line in Nagano prefecture, Japan
located in Azumino, known as Hirase shingōjō (平瀬信号場). It has two tracks. Coordinates:36°15′47″N 137°56′54″E / 36.263133°N 137.948305°E / 36.263133; 137
Shinonoi_Line
Line of longitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The meridian
31st_meridian_east
London Underground line
OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Waterloo and City line is closed on Sundays;
Waterloo_&_City_line
Railway line on Zealand, Denmark
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) (in Danish)
South_Line_(Denmark)
Line of longitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The meridian
30th_meridian_west
Line of longitude
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The meridian
12th_meridian_east
LINE COORDINATES
LINE COORDINATES
Female
English
 Variant spelling of English Aileen, ALINE means "little Eve." Compare with another form of Aline.
Female
German
 Short form of German Helene, possibly LENE means "torch." Compare with another form of Lene.
Girl/Female
English
Path; roadway.Lane and Laine.
Female
Vietnamese
Vietnamese name LINH means "spring."
Female
Vietnamese
Vietnamese name LIEN means "lotus flower."
Female
Yiddish
 Yiddish name derived from the word bin(e), BINE means "bee." Compare with other forms of Bine.
Female
English
 English short form of Latin Linnaea, LINN means "twin flower." Compare with other forms of Linn.
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."
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
English
Short form of French Éliane, LIANE means "sun."Â
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
French
French feminine form of Roman Cælinus, CÉLINE means "heaven."
Surname or Lastname
English
English : metronymic from Line.
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’.
Female
Welsh
 Welsh name LINN means "lake" or "waterfall." Compare with other forms of Linn.
Female
Hindi/Indian
(लीना) Hindi name LINA means "absorbed in; merged." Compare with other forms of Lina.
Male
Native American
Native American Miwok name LISE means "salmon head rising above water." Compare with feminine Lise.
Female
French
 Contracted form of French Adeline, ALINE means "little noble." Compare with another form of Aline.
Female
Norwegian
Danish and Norwegian form of German Liese, LISE means "God is my oath."Â Compare with masculine Lise.
LINE COORDINATES
LINE COORDINATES
Boy/Male
English, Mexican, Spanish
Lovely
Female
English
Feminine variant spelling of English unisex Angel, ANGELLE means "angel, messenger."
Boy/Male
Hindu, Indian, Marathi
Bearer of Attributes
Girl/Female
Latin
Femininefrom the Roman family name Fabius.
Girl/Female
Australian, Christian, French, Greek
Noble Sort; Well-behaved
Girl/Female
English
which is the Greek form of Elijah.
Boy/Male
German
Resolute or peaceful.
Boy/Male
Arabic
Eternity
Female
English
Variant spelling of English Cecilia, CECELIA means "blind."
Girl/Female
Gujarati, Hindu, Indian
Love; Well Wisher
LINE COORDINATES
LINE COORDINATES
LINE COORDINATES
LINE COORDINATES
LINE COORDINATES
n.
A short letter; a note; as, a line from a friend.
n.
Anything doubled and closed like a link; as, a link of horsehair.
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.
A straight row; a continued series or rank; as, a line of houses, or of soldiers; a line of barriers.
n.
Direction; as, the line of sight or vision.
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.
superl.
Made of fine materials; light; delicate; as, fine linen or silk.
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.
n.
The equator; -- usually called the line, or equinoctial line; as, to cross the line.
a.
To change by fine gradations; as (Naut.), to fine down a ship's lines, to diminish her lines gradually.
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
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.
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.
v. t.
To form into a line; to align; as, to line troops.
n.
A measuring line or cord.
v. t.
To read or repeat line by line; as, to line out a hymn.
n.
Flax; linen.
n.
One who lines, as, a liner of shoes.