angle of view of a line segment
Let be a line segment and a point not belonging to . Let the magnitude of the angle be . One says that the line segment is seen from the point in an angle of ; one may also speak of the angle of view of .
The locus of the points from which a given line segment is seen in an angle of (with ) consists of two congruent circular arcs having the line segment as the common chord and containing the circumferential angles equal to .
Especially, the locus of the points from which the line segment is seen in an angle of is the circle having the line segment as its diameter.
Note. The explementary arcs of the above mentioned two arcs form the locus of the points from which the segment is seen in the angle .
|Title||angle of view of a line segment|
|Date of creation||2013-03-22 17:34:11|
|Last modified on||2013-03-22 17:34:11|
|Last modified by||pahio (2872)|
|Defines||angle of view|