equilateral. The Steiner inellipse is attributed by Dörrie to Jakob Steiner, and a proof of its uniqueness is given by Dan Kalman. The Steiner inellipse contrasts...

inellipses are the Steiner inellipse, which touches the triangle at the midpoints of its sides, the Mandart inellipse and Brocard inellipse (see examples section)...

Steiner inellipse – an ellipse inside the triangle and tangent to the midpoints of the three sides of the triangle. The foci of a triangle's Steiner inellipse...

representing the roots of the derivative of the cubic are the foci of the Steiner inellipse of the triangle—the unique ellipse that is tangent to the triangle...

In geometry, the Steiner ellipse of a triangle, also called the Steiner circumellipse to distinguish it from the Steiner inellipse, is the unique circumellipse...

triangle and tangent to all three sides. Every triangle has a unique Steiner inellipse which is interior to the triangle and tangent at the midpoints of...

vertices z1, z2, z3 and tangent to the sides at their midpoints: the Steiner inellipse. The foci of that ellipse are the zeroes of the derivative p'(z)....

Parallel axes rule Steiner–Lehmus theorem Steiner inellipse Steinerian Steiner point (computational geometry) Steiner point (triangle) "Steiner (print-only)"...

vertices at the feet of the altitudes), and the only triangle whose Steiner inellipse is a circle (specifically, the incircle). The triangle of the largest...

original triangle. Every triangle has an inscribed ellipse, called its Steiner inellipse, that is internally tangent to the triangle at the midpoints of all...

tangency all meet in a single point, the Nagel point of the triangle. Steiner inellipse, a different ellipse tangent to a triangle at the midpoints of its...

S2CID 12307207. Scimemi, Benedetto, "Simple Relations Regarding the Steiner Inellipse of a Triangle", Forum Geometricorum 10, 2010: 55–77. An interactive...

corresponding to t and 1 − t are identical. When t = 1/2 we have the inellipse x 2 + y 2 + z 2 − 2 y z − 2 z x − 2 x y = 0 {\displaystyle...

special cases this collineation is an affine scaling. For example for a Steiner inellipse, where the Brianchon point is the centroid. Brianchon's theorem is...

plane, the triangle with these points as its vertices has a unique Steiner inellipse that is tangent to the triangle's sides at their midpoints. The major...

Marden's theorem states that the zeros of P' are the foci of the Steiner inellipse which is the unique ellipse tangent to the midpoints of the triangle...

polyhedron Power of a point – Relative distance of a point from a circle Steiner inellipse – Unique ellipse tangent to all 3 midpoints of a given triangle's...

touch the sides of a triangle. Special cases are the Steiner inellipse and the Mandart inellipse. Ellipses appear as plane sections of the following quadrics:...

triangle, the inellipse with its center at that point is unique.: p.142  The inellipse with the largest area is the Steiner inellipse, also called the...

Theodorus Splitter (geometry) Steiner circumellipse Steiner inellipse Steiner–Lehmus theorem Stewart's theorem Steiner point Symmedian Tangential triangle...

inscribed ellipses. One of them is a circle, and one of them is the Steiner inellipse which is tangent to the triangle at the midpoints of the sides. Every...

Banach–Mazur compactum – Concept in functional analysis Ellipsoid method Steiner inellipse, the special case of the inner Löwner–John ellipsoid for a triangle...