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A triangle is a figure consisting of three line segments, ... A special case of concave circular triangle can be seen in a pseudotriangle. [69]
Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron , the line segment is either an edge (of that polygon or polyhedron) if they are adjacent vertices, or a diagonal .
In geometry, the Euler line, named after Leonhard Euler (/ ˈ ɔɪ l ər / OY-lər), is a line determined from any triangle that is not equilateral.It is a central line of the triangle, and it passes through several important points determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point and the center of the nine-point circle of the triangle.
Toggle Generally composed of straight line segments subsection. ... Special pages; Permanent link; ... Triangle – 3 sides Acute triangle;
A straight line in the plane of triangle ABC whose equation in trilinear coordinates has the form f ( a, b, c) x + g ( a, b, c) y + h ( a, b, c) z = 0. where the point with trilinear coordinates ( f ( a, b, c) : g ( a, b, c) : h ( a, b, c) ) is a triangle center, is a central line in the plane of triangle ABC relative to the triangle ABC. [25] [26]
The three line segments ¯, ¯ and ¯ are called the splitters of the triangle; they each bisect the perimeter of the triangle, [citation needed] ¯ + ¯ = ¯ + ¯ = (¯ + ¯ + ¯). The splitters intersect in a single point, the triangle's Nagel point N a {\displaystyle N_{a}} (or triangle center X 8 ).
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one ...
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.
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