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...

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...

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

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

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

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...

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...

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...

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...

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...

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

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

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

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...

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...

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...

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

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...

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

The triangle of auscultation is a relative thinning of the musculature of the back, situated along the medial border of the scapula which allows for improved...

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

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...

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...

triangle is the circumcircle of both the reference triangle's medial triangle (with vertices at the midpoints of the sides of the reference triangle)...

triangle (or hepatobiliary triangle or Calot's triangle) is an anatomic space bordered by the cystic duct laterally, the common hepatic duct medially...