cevian
Sign in to saveIn geometry, a cevian is a line segment which joins a vertex of a triangle to a point on the opposite side of the triangle. Medians, symmedians, angle bisectors, altitudes are all special cases of cevians. The name cevian comes from the Italian mathematician Giovanni Ceva, who proved a theorem about cevians which also bears his name.
Article
13 sectionsContents
- Length
- Stewart's theorem
- Median
- Angle bisector
- Altitude
- Ratio properties
- Splitter
- Area bisectors
- Angle trisectors
- Area of inner triangle formed by cevians
- See also
- Notes
- References
In geometry, a cevian is a line segment which joins a vertex of a triangle to a point on the opposite side of the triangle. Medians, symmedians, angle bisectors, altitudes are all special cases of cevians. The name cevian comes from the Italian mathematician Giovanni Ceva, who proved a theorem about cevians which also bears his name.
==Length==