Bisectriz de un Angulo, Teoremas y Problemas - Tabla de Contenido

Elementos de Euclides, Libro I, Proposición 9: Bisecar un ángulo.
Construcción de la bisectriz de un angulo

Incentro, Circunferencia Inscrita, Inradio, Teoremas y Problemas
Punto de Intersección de las Bisectrices Interiores.

Excentro, Circunferencia Exinscrita, Teoremas y Problemas.
Excentro: punto de intersección de dos bisectrices exterior y de la bisectriz interior del tercer ángulo.

Elementos de Euclides, Libro VI, Proposicion 3
Teorema de la Bisectriz.

Incentro del Triangulo Doblando Papel, Video .
Software de Geometria Dinámica "Tabula"
Construccion Paso a Paso de las bisectrices interiores.

Video: Viaje al Centro del Triangulo (1976). Incentror (Bisectrices Interiores), Circuncentro, Baricentro, Ortocentro.

Ilustración Animada del Celebrado Teorema de Morley
Sobre la trisección de los ángulos interiores del triangulo 

Geometría Dinámica: Centro y Triangulo de Morley
Trisección de ángulos.

Teorema de Blanchet.
Altura, Bisectriz

Teorema de las isogonales de Jacobi
Uso del Software Dinamico de Geometria TracenPoche.
Conjugadas Isogonales, simétricas con respecto a la bisectriz

Triangle: Incircle, Perpendicular, Angle Bisector. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.

Heron's Formula.
Key facts and a purely geometric step-by-step proof.
Geometry help: Key Facts: Angle bisector. Preliminary propositions 

Geometry Problem 632.
Triangle, Interior and Exterior Angle Bisectors, Midpoints, Collinear Points.

Geometry Problem 631.
Triangle, Exterior Angle Bisectors, Collinear Points.

Geometry Problem 626
Triangle, Distance from the Incenter to an Excenter.

Geometry Problem 625
Triangle, Parallel Lines, Congruence, Angle Bisector.

Problem 537.
Rectangle, Midpoints, Diagonal, Angle Bisector.

Problem 531.
Triangle, Angle Bisector, Midpoint, Parallel, Perimeter, Semiperimeter.

Problem 513.
Triangle, Double Angle, Exterior Angle Bisector, Measure.

Problem 511.
Triangle, Double Angle, Angle Bisector, Measure.

Problem 498.
Triangle, Angle Bisector, Double Angle, Measure.

Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors.

Problem 495.
Triangle, 120 Degrees, Angle Bisectors.

Proposed Problem 440.
Triangle, Incircle, Incenter, Angle Bisector, Tangency Points, Circle, Angles.

Proposed Problem 428.
Quadrant of a circle, Square, Angle bisector, Measurement.

Proposed Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.

Proposed Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence.

Proposed Problem 380.
Triangle, Excenter, Parallel to a side, Angle, Congruence.

Proposed Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence.

Proposed Problem 378.
Triangle, Incenter, Parallel to a side, Angle, Congruence.

Proposed Problem 377.
Triangle, Internal Angle Bisector, Altitude.

Proposed Problem 376.
Triangle, Excenter, Internal and External Angle Bisectors.

Proposed Problem 375.
Triangle, Excenter, External Angle Bisectors.

Proposed Problem 374.
Triangle, Incenter, Internal Angle Bisectors.

Proposed Problem 368.
Triangle, 120 degrees, Angle bisectors, Perpendicular.

Proposed Problem 340.
Triangle, Angle Bisectors, Perpendiculars, Distances. Exterior Point.

Proposed Problem 339.
Triangle, Angle Bisectors, Perpendiculars, Distances. Interior Point.

Proposed Problem 338.
Triangle, Circumcircle, Inscribed Circle, Exterior angle bisector, Concyclic points.

Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points.

Proposed Problem 220. Right Triangle, Altitude, Angle Bisector, Distance, Arithmetic Mean.

Proposed Problem 216. Quadrilateral, Angle Bisectors, and Concurrency.

Proposed Problem 215. Quadrilateral, Angle Bisectors, and Cyclic Quadrilateral.

Sangaku Problem. The incenters of four triangles in a cyclic quadrilateral form a rectangle. Angle bisectors.

Proposed Problem 214. Quadrilateral and Angle Bisectors.

Proposed Problem 187. Right Triangle, Altitude, Incenters, Circles, Angle bisector.  

Proposed Problem 134. Orthic Triangle, Altitudes, Angle Bisectors, Orthocenter, Incenter.  

Proposed Problem 133. Triangle, Angle Bisectors, Collinear Points.

Triangle with the bisectors of the exterior angles. Collinearity. Key concept: Menelaus Theorem.
 

Proposed Problem 128. Incenter of a Triangle, Angle Bisectors, Sum of Ratios.

Proposed Problem 127. Centroid and Incenter of a Triangle, Parallel, Proportions.

Proposed Problem 126. Incenter of Triangle, Angle Bisector, Proportions.

Problema 80
Triangulo, Área, Circunferencia Inscrita, Incentro, Inradio, Lados.
Bisectriz.

Problema 57
Circunferencias, Tangentes, Cuerda, Puntos de tangencia, Cuadrilátero inscriptible.
Bisectriz.

Problema 56
Circunferencias, Tangentes, Cuerda, Paralelas.
Bisectriz

Problema 55
Circunferencias, Tangentes, Cuerda, Cuadrilátero Inscriptible.
Bisectriz.

Problema 54.
Circunferencias tangentes interiores, Cuerda, Tangente, Punto Medio de un arco.
Bisectriz.

Problema 53.
Circunferencias tangentes interiores, Cuerda, Tangente, Bisectriz.

Problema 50.
Triangulo escaleno con triángulos equiláteros, Perpendiculares, Puntos medios y Congruencia. Bisectriz.

Problema 40.
Triangulo 40-60-80 grados, Incentro, Excentro, Bisectrices.

Problema 39.
Triangulo, Incirculo, Cuadrilátero Inscriptible, Ángulos, Bisectriz..

Problema 38.
Triangulo rectángulo, Altura, Incentros, Ángulos, Bisectriz.

Problema 37.
Triangulo rectángulo, Altura, Bisectriz, Incentros, Ortocentro.

Problema 35.
Incentros e Inradios en un Cuadrilátero Inscrito. Bisectriz.