geometry, the medial triangle or midpoint triangle of a triangle △ABC is the triangle with vertices at the midpoints of the triangle's sides AB, AC, BC...

In geometry, the incircle of the medial triangle of a triangle is the Spieker circle, named after 19th-century German geometer Theodor Spieker. Its center...

three midpoints of sides of a triangle is called its medial triangle. Proof Given: In a △ A B C {\displaystyle \triangle ABC} the points M and N are the...

midsegments of the given triangle. It shares the same centroid and medians with the given triangle. The perimeter of the medial triangle equals the semiperimeter...

locate the Spieker center of any triangle. The Spieker center of triangle △ABC is the incenter of the medial triangle of △ABC. That is, the Spieker center...

a triangle is called the medial triangle. It shares the same centroid and medians with the original triangle. The perimeter of the medial triangle equals...

area. A triangle's semiperimeter equals the perimeter of its medial triangle. By the triangle inequality, the longest side length of a triangle is less...

△LMN is the intouch triangle. If P is the circumcenter, then △LMN is the medial triangle. If P is on the circumcircle of the triangle, △LMN collapses to...

rotated. The femoral triangle is bounded: superiorly (also known as the base) by the inguinal ligament. medially by the medial border of the adductor...

enclosing triangle's sides Polyhedra: Medial deltoidal hexecontahedron Medial disdyakis triacontahedron Medial hexagonal hexecontahedron Medial icosacronic...

called the midpoint triangle or medial triangle. The midpoint triangle subdivides the reference triangle into four congruent triangles which are similar...

of the two triangles. The following are some triangles associated with the reference triangle ABC and orthologic with it. Medial triangle Anticomplementary...

which is the incircle of the medial triangle. The cleavers are parallel to the angle bisectors. A splitter of a triangle is a line segment having one...

is the Nagel point of the medial triangle; equivalently, the Nagel point is the incenter of the anticomplementary triangle. The isogonal conjugate of...

Maxwell's theorem (geometry) Medial triangle Median (geometry) Menelaus' theorem Miquel's theorem Mittenpunkt Modern triangle geometry Monsky's theorem Morley...

triangle ABC. The medial triangle of the intouch triangle is inverted into triangle ABC, meaning the circumcenter of the medial triangle, that is, the nine-point...

The Triangle of Doom is an anatomical triangle defined by the vas deferens medially, gonodal vessel laterally and peritoneum inferiorly. This triangle contains...

along the triangle's perimeter, with uniform linear density, then the center of mass lies at the Spieker center (the incenter of the medial triangle), which...

the triangle. (The Spieker circle is the incircle of the medial triangle, and its center is the center of mass of the perimeter of the triangle.) Any...

the medial triangle (whose vertices are the midpoints of the sides).: 233, Lemma 1  The radius of the incircle is related to the area of the triangle. The...

the triangle through the opposite point, and form a new triangle from the intersections of these three lines. Then the original triangle is the medial triangle...

incircle of the medial triangle. A splitter of a triangle is a line segment having one endpoint at one of the three vertices of the triangle and bisecting...

angle bisectors of the triangle cross, as the point equidistant from the triangle's sides, as the junction point of the medial axis and innermost point...

geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain...

the medial triangle of the given triangle, the circumcenter of the orthic triangle of the given triangle, and the circumcenter of the Euler triangle. More...

to the vertices of the medial triangle (the midpoints of the sides BC=a, CA=b, and AB=c respectively of the original triangle). Then, x + y + z = 2 max...

In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example,...

The medial inguinal fossa is a depression located within the inguinal triangle on the peritoneal surface of the anterior abdominal wall between the ridges...

(Rectus sheath (medial), Inferior epigastric artery (lateral), Poupart's ligament (inguinal ligament, inferior). The inguinal triangle contains a depression...

structures: Clavicle (superiorly) Lateral border of Pectoralis Major (medially) Medial border of Deltoid muscle (laterally) It contains the cephalic vein...