Teoremas y Problemas de Geometria, Pre-Universitaria, Bachillerato

Geometría Plana: Recta Transversal o Secante. Teoremas y Problemas (Spanish-language version, ESL)

Transversal o Secante- Índice

Transversal o Secante, Teoremas y Problemas

Teorema de Ceva

Teorema de Ceva.
Cevianas concurrentes, Demostración interactiva con animación. Concepto clave: Teorema de Menelao.

Teorema de Menelao 

Teorema de Menelao.
Demostración interactiva con animación. Concepto clave: Línea transversal

 

Teorema de Pascal, Hexagrama Mistico

Teorema del Hexagrama Místico de Pascal
Transversal o secante.

Teorema del hexagono de Pappus

Teorema del Hexágono de Pappus.
Geometría Dinámica
Construcción paso-a-paso, manipulación y animación
Transversal o secante, Puntos colineales.

Angle between two Simson Lines. Proof with animation.
Transversal line. 

Simson Line. A proof of Simson line with animation.
Transversal line.

Interactive Simson Line

Interactive Simson Line. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Transversal line.

Routh's theorem index

Routh's Theorem - Index
Triangle, Cevians, Area, Ratio.
Transversal line. 

Bottema Theorem. Elearning.

Bottema's Theorem:
Triangle and Squares with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.

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. Requires Java Plug-in 1.3 or higher. Please be patient while the applet loads on your computer. If you are using a dial-up connection, it may take a few minutes but is well worth the wait. Cabri, GSP, Cinderella, C.a.R.

Gergonne Point Theorem

Gergonne Point Theorem. Concurrency. Interactive proof with animation.

Key concept: Ceva's Theorem.
 

Nagel Point Theorem. Proof.
 

Gergonne Line

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

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

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

Lemoine Theorem

Complete quadrilateral: ortholine, Elearning

Complete Quadrilateral: Ortholine-Steiner Line.
Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation

Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle

Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle.

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