Classical Theorems  Page 3




Miquel's
Pentagram with Dynamic Geometry. You can alter the pentagram
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 Plugin 1.3 or higher. Please
be patient while the applet loads on your computer. If you are using a
dialup connection, it may take a few minutes but is well worth the wait.
Cabri, GSP, Cinderella, C.a.R. 

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


Nagel Point
Theorem. Proof.


Napoleon's
theorems and problems, Index. 

Napoleon's Theorem. A purely geometric
proof. It uses the Fermat point to prove Napoleon without
transformations.


Interactive
Gergonne Line and Nobbs Points.
Dynamic Geometry.
StepbyStep construction, Manipulation, and animation. 

Newton's Theorem,
NewtonGauss Line: Complete quadrilateral theorem. Using TracenPoche
Dynamic Geometry Software, Online
StepbyStep construction, manipulation, and animation. 

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


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


Euler and his beautiful and
extraordinary formula that links the 5 fundamental constants in
Mathematics, namely, e, i, Pi , 1 and 0, together!
Adobe Flash Animation
HTML5 Animation for iPad and Nexus


Archimedes'
Book of Lemmas. Exercise your brain. Archimedes wrote the "Book of
Lemmas" more than 2200 years ago. Solve these 15 high school level
problems and lift up your geometry skills. 

Equal Incircles Theorem. Interactive presentation. 

Seven Circles Theorem.
Step by Step illustration of this beautiful theorem. 

Second AjimaMalfatti Point
Interactive illustration. 

First AjimaMalfatti Point
Animated illustration. 
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