In geometry, a line can represent three key concepts: the shortest distance between two points, a linear relationship in algebra, and the set of points extending infinitely in both directions that satisfies a linear equation. Additionally, lines can also define boundaries in geometric shapes, such as the sides of polygons. Each of these representations plays a crucial role in both theoretical and applied mathematics.
point, line,
Point, line, and plane
point , line and plane
point , line , and plane
The three undefined terms are the point,the line and the plane.
point, line,
A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
In geometry, a linear relationship is represented as a straight line.
Point, line, and plane
point line and composition
point , line and plane
point , line , and plane
The three undefined terms are the point,the line and the plane.
point, line and plane
Point, line and plane.
A plane is named by three points in the plane that is not on the same line.
"Euclidean" geometry is the familiar "standard" geometry. Until the 19th century, it was simply "geometry". It features infinitely divisible space, up to three dimensions, and, most notably, the "parallel postulate": "Given a line, and a point not on the line, there is exactly one line that can be drawn through the point and parallel to the given line."