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.
~4 min read
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==
Gallery (2)
Connections
median
Entity
geometry
Entity
triangle
Entity
International Standard Book Number
Entity
perimeter
Entity
equilateral triangle
Entity
line segment
Entity
JSTOR
Organization
perpendicularity
Entity
vertex
Entity
mnemonic
Entity
identity
Entity
Menelaus' theorem
Entity
Ceva's theorem
Entity
angle trisection
Entity
altitude
Entity
Stewart's theorem
Entity
Giovanni Ceva
Entity
Morley's trisector theorem
Entity
Harold Scott MacDonald Coxeter
Entity