Geometry: Straight Line Concepts

Three points are said to be collinear if they lie on the same line.

In two dimensions, two lines that do not intersect are called parallel.

In n-dimensional space, n−1 first-degree equations in the n coordinate variables define a line under suitable conditions.

<p>The direction of the line is from a reference point a (t = 0) to another point b (t = 1), or in the direction of the vector b − a.</p> Signup and view all the answers

<p>On a Euclidean plane, a line can be represented as a boundary between two regions.</p> Signup and view all the answers

<p>An infinitely long object with no width, depth, or curvature.</p> Signup and view all the answers

<p>Lines are spaces of dimension one, which may be embedded in spaces of dimension two, three, or higher.</p> Signup and view all the answers

<p>A part of a line delimited by two points (its endpoints).</p> Signup and view all the answers

<p>As a 'breadthless length' that 'lies evenly with respect to the points on itself'.</p> Signup and view all the answers

<p>Euclidean line and Euclidean geometry.</p> Signup and view all the answers