In geometry, the Steiner ellipse of a triangle, also called the Steiner circumellipse to distinguish it from the Steiner inellipse, is the unique circumellipse...
10 KB (1,766 words) - 07:35, 22 July 2024
inellipse contrasts with the Steiner circumellipse, also called simply the Steiner ellipse, which is the unique ellipse that passes through the vertices...
11 KB (1,567 words) - 00:46, 22 August 2024
evolute. In the case of an ellipse, the evolute is an astroid. Ellipses appear in triangle geometry as Steiner ellipse: ellipse through the vertices of the...
87 KB (16,129 words) - 04:37, 17 October 2024
Triangle conic (section Triangle ellipses)
reference triangle are triangle conics. Other examples are the Steiner ellipse, which is an ellipse passing through the vertices and having its centre at the...
15 KB (1,379 words) - 17:40, 7 April 2024
c-a):a^{2}b^{2}\csc(a-b)} The Steiner circumellipse of triangle ABC, also called the Steiner ellipse, is the ellipse of least area that passes through...
8 KB (941 words) - 07:05, 13 May 2024
surfaces characterized by a certain constant-angle property produce the Steiner ellipses in H 2 {\displaystyle \mathbb {H} ^{2}} (generated by orientation-preserving...
54 KB (8,402 words) - 12:55, 20 September 2024
cases, the centers of Steiner-chain circles lie on an ellipse or a hyperbola, respectively. Steiner chains are named after Jakob Steiner, who defined them...
20 KB (2,841 words) - 15:10, 22 March 2023
Inellipse (section Steiner inellipse)
inellipse is an ellipse that touches the three sides of a triangle. The simplest example is the incircle. Further important inellipses are the Steiner inellipse...
14 KB (3,437 words) - 06:42, 13 May 2024
are trilinear coordinates: Steiner point: the non-vertex point of intersection of the circumcircle with the Steiner ellipse. b c b 2 − c 2 : c a c 2 −...
27 KB (4,758 words) - 05:22, 23 September 2024
Every triangle can be inscribed in an ellipse, called its Steiner circumellipse or simply its Steiner ellipse, whose center is the triangle's centroid...
5 KB (650 words) - 19:50, 30 November 2023