the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the...

three-dimensional space, bisection is usually done by a bisecting plane, also called the bisector. The perpendicular bisector of a line segment is a line which meets...

Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's...

(the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. The theorem can be written as an equation...

AP} . Also by the Angle bisector theorem the line P D {\displaystyle PD} bisects the exterior angle ∠ Q P B {\displaystyle \angle QPB} . Hence, γ = ∠...

the base, the angle bisector from the apex to the base, the median from the apex to the midpoint of the base, the perpendicular bisector of the base within...

Jakob Steiner. It states: Every triangle with two angle bisectors of equal lengths is isosceles. The theorem was first mentioned in 1840 in a letter by C....

acute. An angle bisector of a triangle is a straight line through a vertex which cuts the corresponding angle in half. The three angle bisectors intersect...

The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either...

intermediate value theorem, there must be an angle in which p ( α ) = 1 / 2 {\displaystyle p(\alpha )=1/2} . Cutting at that angle bisects both pancakes simultaneously...