College Geometry Online, eLearning, Ceva and Menelaus

 

Transversal Line,, Ceva and Menelaus Theorems and Problems - Index

Ceva's theorem shines,
Lines of concurrency meet,
Triangle's essence.
Menelaus weaves his spell,
Ratio's secrets revealed.

Transversal Line, Index

 

Ceva's Theorem

Ceva's Theorem. Concurrency. Interactive proof with animation. Key concept: Menelaus Theorem. 

Menelaus Theorem 

Menelaus' Theorem. Interactive proof with animation and key concepts.
Transversal line.

 

Pascal's Mystic Hexagram Theorem Proof
Transversal line.

Pappus Theorem

Pappus Theorem. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Transversal line.

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

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Last updated: May 28, 2023