Teoremas y Problemas de Geometria, Pre-Universitaria, Bachillerato

Geometría Plana: Puntos Colineales, Teoremas y Problemas - Tabla de Contenido

Puntos colineales, Indice 

El Punto, Teoremas y Problemas, Indice

Puntos, Teoremas y Problemas

Problema de geometria 896

Problema de Geometría 896
Triangulo, Ortocentro, Alturas, Puntos Medios, Diámetros, Circunferencias Secantes, Puntos Colineales.

GeoGebra, Geometría Dinámica: Problema 895

GeoGebra, Geometría Dinámica: Problema de Geometria 895
HTML5, Animación interactiva para iPad, Nexus y otras tabletas.

Teorema de la Línea de Lemoine
Puntos colineales.

Geometría Dinámica: Recta de Lemoine de un triangulo. Animación interactiva para tabletas

GeoGebra, Geometría Dinámica: Recta de Lemoine de un Triangulo .
HTML5, Animación interactiva para iPad, Nexus y otras tabletas.

Circulo de los nueve puntos, Spanish

Circulo de los Nueve Puntos: Spanish version.
Recta de Euler, Puntos Colineales
Interactive illustration.

Pappus Theorem

Pappus Theorem. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

Gergonne Line

Interactive Gergonne Line and Nobbs Points. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

Interactive Simson Line

Interactive Simson Line. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

Sawayama -Thebault's theorem
Collinear Points.

Monge & d'Alembert Three Circles Theorem II with Dynamic Geometry. You can alter the geometric construction dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand.
Collinear Points.

Monge & d'Alembert Three Circles Theorem I with Dynamic Geometry. You can alter the geometric construction dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand.
Collinear Points.

Triangle with the bisectors of the exterior angles

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

Complete quadrilateral: ortholine, Elearning

Complete Quadrilateral: Ortholine-Steiner Line.
Step-by-Step construction, Manipulation, and animation
Collinear Points.

Triangle Square Theorem 1. Elearning, Online Tutoring

Triangle and Squares Theorem 1: with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.
Collinear Points.

Newton's Theorem, Newton-Gauss Line: Complete quadrilateral theorem. Using TracenPoche Dynamic Geometry Software, Online Step-by-Step construction, manipulation, and animation.
Collinear Points.

Schiffler Point: Four Euler Lines with interactive animation and manipulation.
Collinear Points.

Pascal's Mystic Hexagram Theorem Proof

Newton's Theorem: Newton's Line. Circumscribed quadrilateral, midpoints of diagonals, center of the circle inscribed.
Collinear Points.

Equilic Quadrilateral.
Collinear Points. 

Squares, Circles, Collinear

Geometry Problem 723.
Squares, Circumscribed Circles, Collinear points.

Squares, CIrcles, Collinear

Geometry Problem 722.
Squares, Circumscribed Circles, Collinear points.

Triangle, Orthocenter, Circumcircle, Collinear

Geometry Problem 721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear points.

Parallelogram, Midpoint, Diagonal, Collinear, Metric Relations, Similarity, Congruence

Geometry Problem 710.
Parallelogram, Midpoint, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence.

Simson Line, Parallel

Geometry Problem 678.
Triangle, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points.

Collinear points, Intersecting circles 

Geometry Problem 675.
Intersecting Circles, Secant, 45 and 90 Degrees, Collinear Points.

Triangle, Circumcircle, Incenter

Geometry Problem 669.
Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map.

Parallelogram, Parallel lines, Collinear points

Geometry Problem 659.
Parallelogram, Parallel Lines, Collinear Points.

Triangle, Angle Bisectors, Midpoint, Collinear

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

Triangle, Angle Bisectors, Collinear

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

Triangle, Altitude, Collinearity

Geometry Problem 613
Altitude of a Triangle, Perpendicular, Collinear Points.

Triangle, Altitude, Congruence

Geometry Problem 612
Altitude of a Triangle, Perpendicular, Congruence.

Triangle, Altitude, Collinearity

Geometry Problem 611
Altitude of a Triangle, Perpendicular, Collinear Points, Parallel.

Triangle, Perpendiculars, Collinearity

Geometry Problem 609
Triangle, Perpendiculars, 90 Degrees, Collinearity.

Triangle, Circumcircle

Geometry Problem 593.
Triangle, Circumcircle, Collinear Points.

Online education: Geometry Problem 570, Collinearity

Problem 570.
Square, Center, Right Triangles, Congruence, Collinearity.

Geometry problem 567

Problem 567.
Right triangle, Incircle, Excircle, Collinear tangency points.

Tangent Circles

Problem 523.
Tangent Circles, Diameter Perpendicular, Collinearity.

Tangent circles, Midpoint, Arc, Collinear

Problem 486.
Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence.

Three tangent circles

Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear.

Triangle, Orthocenter

Proposed Problem 393.
Triangle, Orthocenter, Circumcircles, Congruence, Collinear.

Triangle, Parallel, Concurrent lines

Proposed Problem 392.
Triangle, Parallel lines, Concurrent lines.

Triangle, Parallel, Collinear points

Proposed Problem 391.
Triangle, Parallel lines, Collinear points.

Triangle, Parallel, Collinear points

Proposed Problem 390.
Triangle, Parallel lines, Collinear points.

Triangle, Incenter, Circumcenter, Collinear

Proposed Problem 323.
Triangle, Incenter, Circumcenter, Equal circles, Collinearity.

Triangle, Incenter, Excircle, Altitude, Collinear

Proposed Problem 321.
Triangle, Incenter, Excircle, Midpoint of the Altitude, Collinearity.

Triangle, Circumcenter, Incenter, Excenter, Collinear

Proposed Problem 320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points.

Elearning 318

Proposed Problem 318.
A Scalene triangle, Altitudes, Collinear points.

Triangle, Altitude

Proposed Problem 319.
Triangle, Altitudes, Perpendiculars, Collinear points.

Problem 133

Proposed Problem 133. Triangle, Interior and Exterior Angle Bisectors,
Collinear Points.

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