Line Segment
In geometry, 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. Examples of line segments include the sides of a triangle or square. More generally, when the end points are both vertices of a polygon, the line segment is either an edge (of that polygon) if they are adjacent vertices, or otherwise a diagonal. When the end points both lie on a curve such as a circle, a line segment is called a chord (of that curve).
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Some articles on line segment:
... sides disjoined from the perpendicular side, severing the connection of the length and width line segments of the rectangle at one of the rectangle's corners, and displacing each line ... coordinates is introduced, an angle between the termini of the dislocated rectangle's length line segment and width line segment may be specified ...
... In geometry, harmonic division of a line segment AB means identifying two points C and D such that AB is divided internally and externally in the same ratio In the ... Harmonic division of a line segment is reciprocal if points C and D divide the line segment AB harmonically, the points A and B also divide the line segment ... (Note that the two ratios are not equal!) Harmonic division of a line segment is a special case of Apollonius' definition of the circle ...
... skeletal joints, and each pair of joints defines a line segment (a "limb") ... The relationship of those segments in three dimensional space using a spherical coordinate system ... If one end of a line segment is held in a fixed position, that point is the center of a sphere whose radius is the length of the line segment ...
... A line segment can be viewed as a degenerate case of an ellipse in which the semiminor axis goes to zero, the foci go to the end points, and the eccentricity goes to one ...
... algorithm produces a geometric construction that divides a line segment into two line segments where the ratio of the longer to the shorter line segment is the ... This circle intersects the original line segment AB at point S ... Point S divides the original segment AB into line segments AS and SB with lengths in the golden ratio ...
Famous quotes containing the word line:
“There’s something like a line of gold thread running through a man’s words when he talks to his daughter, and gradually over the years it gets to be long enough for you pick up in your hands and weave into a cloth that feels like love itself. It’s another thing, though, to hold up that cloth for inspection.”
—John Gregory Brown (20th century)