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Triangle with the bisectors of the
exterior angles. Collinearity. Key concept:
Menelaus Theorem.
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Napoleon's Theorem.
A purely geometric proof. It uses the Fermat point to prove Napoleon
without transformations.
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Morley's Theorem. Introduction with animation.
Triangle + Trisectors = Equilateral triangle.
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Morley's Theorem Puzzle: 22 pieces of
polygons. |
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Sierpinski Triangle and Machu Picchu.
Fractal illustration with animation.
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Sierpinski Triangle
and Machu Picchu. Puzzle. |
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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. 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. |
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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. |
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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 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. |
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Inca Quiz. Ten questions in random order.
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Puzzle of The Raft of the Medusa: 91 pieces of lizards
tessellation.
Languages: English,
Spanish
and
Traditional Chinese. |
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The Lord of Sipan and Geometric Art randomly generated with
animation.
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On Children a
poem by Kahlil Gibran. |
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