Sources
open directory project
Help build the largest human-edited directory on the web.
Submit a site - Become an editor
Wikipedia. Licensed under the GNU Free Documentation License.
Are you an expert in this subject? Join the discussion and share your knowledge at Wikipedia.org.
Concurrent lines
From Wikipedia, the free encyclopedia
In geometry, three or more lines are said to be concurrent if they intersect at a single point.
In a triangle, four basic types of concurrent lines are altitudes, angle bisectors, medians, and perpendicular bisectors:
- In a triangle, altitudes run from each vertex to the point perpendicular on the opposite line. The point where three altitudes meet is the orthocenter.
- Angle bisectors are rays running from the bisector of each angle of the triangle. The all meet at the incenter.
- Medians connect the vertexes in a triangle to the midpoint of the opposite side. They meet at the centroid.
- Perpendicular bisectors are lines running out of the midpoint of each side in a triangle at 90 degree angles. They meet at the circumcenter.
Compare to collinear. In projective geometry, concurrency is the dual of collinearity.