external bisector

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• Angle bisector theorem — In geometry, the angle bisector theorem relates the length of the side opposite one angle of a triangle to the lengths of the other two sides of the triangle.Consider a triangle ABC. Let the angle bisector of angle A intersect side BC at a point… …   Wikipedia

• Incircle and excircles of a triangle — A triangle (black) with incircle (blue), incentre (I), excircles (orange), excentres (JA,JB,JC), internal angle bisectors (red) and external angle bisectors (green) In geometry, the incircle or inscribed circle of a triangle is the largest circle …   Wikipedia

• Bisection — In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector . The most often considered types of bisectors are segment bisectors and angle bisectors .A segment bisector …   Wikipedia

• Special cases of Apollonius' problem — In Euclidean geometry, Apollonius problem is to construct all the circles that are tangent to three given circles. Limiting cases of Apollonius problem are those in which at least one of the given circles is a point or line, i.e., is a circle of… …   Wikipedia

• Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… …   Wikipedia

• Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference …   Wikipedia

• Mathematical fallacy — In mathematics, certain kinds of mistakes in proof, calculation, or derivation are often exhibited, and sometimes collected, as illustrations of the concept of mathematical fallacy. The specimens of the greatest interest can be seen as… …   Wikipedia

• Huzita–Hatori axioms — The Huzita–Hatori axioms or Huzita–Justin axioms are a set of rules related to the mathematical principles of paper folding, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are… …   Wikipedia

• Invalid proof — In mathematics, there are a variety of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle. These fallacies are normally regarded as mere curiosities, but can be used… …   Wikipedia

• Kite (geometry) — Kite A kite showing its equal sides and its inscribed circle. Type Quadrilateral Edges and vertices 4 Symmetry group D1 (*) In Euclid …   Wikipedia

• Apollonian circles — Some Apollonian circles. Every blue circle intersects every red circle at a right angle. Every red circle passes through the two points, C and D, and every blue circle separates the two points. This article discusses a family of circles sharing a …   Wikipedia