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Rays (or half-lines) the same as lines are designated by lowercase Latin letters: ray a or ray b. A half-line (or ray) is also designated by two points: the initial point and another point belonging to the half-line. In doing so, the initial point is placed in the first place.
A half-line is just a set of the form $a + tb$ for $t \ge 0$, in a vector space over the reals. In the plane this just amounts to lines that are "cut off", i.e. have an endpoint, but then extend towards infinity. Say $\{(x,0): x \ge 0\}$, the positive x-axis, or the negative one too, is an example.
The notations above are read as "Line AB," "Line BA," "Line AC," and so forth. A ray is occasionally referred to as a half line. Rays begin at one point and continue indefinitely in a single direction after passing through another point (reference illustration below):
A ray is defined by two points on the line; the first point is where the ray begins, and the second point gives the line direction. A half-line is defined by two points, one where the line starts and the other to give direction, but an open circle at the starting point indicates that the starting point is not part of the half-line.
A LINE SEGMENT is a part of a line that has finite length. A RAY is a half-line, together with its endpoint. An ANGLE is a pair of rays that share a common endpoint.
A ray is defined by two points on the line; the first point is where the ray begins, and the second point gives the line direction. A half-line is defined by two points, one where the line starts and the other to give direction, but an open circle at the starting point indicates that the starting point is not part of the half-line.
10 paź 2024 · In geometry, a ray is usually taken as a half-infinite line (also known as a half-line) with one of the two points A and B taken to be at infinity. There are several definitions of a ray. When viewed as a vector, a ray is a vector AB^-> from a point A to a point B.
