Line intersecting both a vertex and opposite edge of a triangle
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.[1][2] Medians and angle bisectors are special cases of cevians. The name "cevian" comes from the Italian mathematician Giovanni Ceva, who proved a well-known theorem about cevians which also bears his name.[3]
^Coxeter, H. S. M.; Greitzer, S. L. (1967). Geometry Revisited. Washington, DC: Mathematical Association of America. p. 4. ISBN 0-883-85619-0.
^Some authors exclude the other two sides of the triangle, see Eves (1963, p.77)
^Lightner, James E. (1975). "A new look at the 'centers' of a triangle". The Mathematics Teacher. 68 (7): 612–615. JSTOR 27960289.
special cases of cevians. The name "cevian" comes from the Italian mathematician Giovanni Ceva, who proved a well-known theorem about cevians which also bears...
Cevian Capital is a Swedish investment firm founded in 1996 by Christer Gardell and Lars Förberg, both of whom serve as managing partners. Backed by Carl...
cubic is the locus of a point X such that area of the cevian triangle of X equals the area of the cevian triangle of X*. Also, this cubic is the locus of X...
center of mass to geometry problems involving triangles and intersecting cevians. All problems that can be solved using mass point geometry can also be...
changed its name to Cevian Capital. The firm uses an "active ownership" or "activist" investment strategy. In 2006, Cevian launched Cevian Capital II, the...
controlled by the Wallenberg family, which holds 12.9%. Activist investor Cevian also holds a large stake in the company. In December 2022, ABB was charged...
shareholders are the Alfried Krupp von Bohlen und Halbach Foundation and Cevian Capital. ThyssenKrupp's products range from machines and industrial services...
\left({\frac {180^{\circ }}{n}}\right).} A splitter of a triangle is a cevian (a segment from a vertex to the opposite side) that divides the perimeter...
which the cevians that join the vertices to the incenters of the opposite faces are concurrent. An isogonic tetrahedron has concurrent cevians that join...
: 19 David Einhorn, Gregg Hymowitz (EnTrust Global), Christer Gardell (Cevian Capital), and Ryan Cohen. During the 1980s, activist investors such as Carl...
Briefly, the trilinear polar of P is the axis of perspectivity of the cevian triangle of P and the triangle △ABC. In detail, let the line AP, BP, CP...
which the cevians that join the vertices to the incenters of the opposite faces are concurrent, and an isogonic tetrahedron has concurrent cevians that join...
if we take three special lines through the vertices of a triangle, or cevians, then their reflections about the corresponding angle bisectors, called...
{r_{a}+r_{b}+r_{c}}{9}}} r a = r b = r c {\displaystyle r_{a}=r_{b}=r_{c}} Three kinds of cevians coincide, and are equal, for (and only for) equilateral triangles: The...
theorem (perpendiculars) Catalogue of Triangle Cubics Centroid Ceva's theorem Cevian Circumconic and inconic Circumscribed circle Clawson point Cleaver (geometry)...
to two altitudes of a triangle is antiparallel to the third side. (any cevians which 'see' the third side with the same angle create antiparallel lines)...
the Alfried Krupp von Bohlen und Halbach Foundation and activist investor Cevian. In his capacity at ThyssenKrupp, Hiesinger was part of Chancellor Angela...
CEO of Reed Elsevier Christer Gardell, CEO of AB Custos and founder of Cevian Capital Reinhold Geijer, head of the Nordic Region for The Royal Bank of...