Go Geometry - Recent Additions (Page 50 of 50)

Presentation: "Animated Angle to Geometry Study I & II." 46th Annual Georgia Mathematics Conference, Extreme Makeover: Mathematics Edition!, Rock Eagle, October 20-22, 2005,

Proposed Problems 1. Solve these problems about congruence of line segments, angles, and triangles and lift up your geometry skills.

The Landscape of Books of All Time

The Landscape of Syllogism

The Landscape of Why Study Geometry?

The Landscape of Instructional Strategies.

The Landscape of Think Out of the Box

The Landscape of Expert System

The Landscape of Terms. An expanse of scenery that can be seen in a single view of terms. This word storming is a mental exercise for producing ideas by right brain thinking. The Landscape of Geometry , The Landscape of Hurricane Katrina, The Landscape of the Inca Empire, The Landscape of Laser. The Landscape of Top Overall Searches.

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.

The Quipu: Caral, Ancient Peru city reveals 5,000-year-old 'writing'.
Puruchuco: Knotty Incan Accounting Untangled.

Experiencing Geometry Poem. Taken from "Experiencing Geometry on Plane and Sphere," a classic textbook on Euclidean and non-Euclidean space. Used by permission of the author David W. Henderson.

The Nazca Lines are over 300 drawings on the ground (lines, triangles, trapezoids, spirals, birds, a spider, a monkey, flowers) located in the Nazca desert.

Nazca Lines: The Monkey - Puzzle.
 

Nazca Lines: The Condor bird. Puzzle: 40 pieces of birds tessellation.

Nazca Lines: The Spider. Puzzle: 44 pieces in a tri-dove style of piece.

 Achieve Your Dreams. Inspirational poem with animation and sound.

Geometry Quotes Quiz. Who said this? Five random questions.

Nagel Point Theorem. Proof.
 

Puzzle of the Nagel Point: 22 pieces of polygons.

Nagel Point Theorem - Flowchart Proof .
 

Semiperimeter and excircles of a triangle.

Semiperimeter and incircle of a triangle.

Semiperimeter, incircle and excircles of a triangle.

Gergonne Point Theorem. Concurrency. Interactive proof with animation.

Key concept: Ceva's Theorem.
 

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

Puzzle of the Ceva's Theorem: 48 classic piece.

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

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

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

Morley's Theorem. Introduction with animation. Triangle + Trisectors = Equilateral triangle.

Morley's Theorem Puzzle: 22 pieces of polygons.

Sierpinski Triangle and Machu Picchu. Fractal illustration with animation.

Sierpinski Triangle and Machu Picchu. Puzzle.

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.

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.

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.

Inca Quiz. Ten questions in random order.

Puzzle of The Raft of the Medusa: 91 pieces of lizards tessellation.
Languages: English, Spanish and Traditional Chinese.

The Lord of Sipan and Geometric Art randomly generated with animation.
 

I've Learned Inspirational poem with animation and sound.

On Children a poem by Kahlil Gibran.

The Road Not Taken. Robert Frost's poem about choices and decision making.

Spanish version

The Road Not Taken Puzzle. Robert Frost's poem, puzzle 48 pieces of USA map.

About Peru, The Land of the Incas. Interactive introduction with animation and sound. 
 

Machu Picchu and Geometric Art randomly generated with animation.

Miquel's Pentagram Theorem Interactive proof with animation and key theorems.
 

Clifford's Circle Chain Theorems. This is a step by step presentation of the first theorem. Clifford discovered, in the ordinary Euclidean plane, a "sequence or chain of theorems" of increasing complexity, each building on the last in a natural progression.
 

Parallelogram with Squares theorem Thébault's Theorem.
 

Triangle with Squares 0: Two squares.
Triangle with Squares 1: Two squares.
Triangle with Squares 2: Two squares.
Triangle with Squares 3: Three squares.
Triangle with Squares 4: Finsler-Hadwiger Theorem.
Triangle with Squares 5: Two squares, median and altitude.
Triangle with Squares 6: Four squares.

The Landscape of Geometry Terms.For right brain thinking (random, visual, subjective, emotional, holistic, intuitive,  creative, divergent..) with randomly selected terms, depending on size and location, and zoom.
 

Geometry Problems.
 

Geometry Proofs jokes. Matching exercise.

Triangle Centers. Word find puzzle.

The Lord of Sipan, Spiderman Puzzle: 50 pieces of circles.

Quizzes: Geometry SAT Techniques, matching exercises.

The Lord of Sipan Puzzle: 22 pieces of polygons.

Kurschak's Tile and Theorem. Jozsef Kurschak (Hungary, 1864-1933) An elegant and a purely geometric way of finding the area of a regular dodecagon.
 

Geometry jokes Crossword.

The Bevan Point The circumcenter of the excentral triangle. Illustration with animation.

The Bevan Point: Puzzle

Cuzco: The Stone of twelve angles An example of Inca skill with polygonal masonry. Puzzle: 22 pieces of polygons.

Machu Picchu. Lost City of the Incas. Puzzle: Puzzle 41 pieces of polyominoes.

If - Rudyard Kipling' Poem. An Inspirational Poem for Problem Solving.
Puzzle

See also:
Spanish Version.
If - Math Humor. High school version.

Site Map. Quick Cross-reference for Geometry from the Land of the Incas .

Angle between two Simson Lines. Proof with animation.
 

Simson Line. A proof of Simson line with animation.

New version of The Raft of the Medusa. Inspiration for Problem solving with fractals and animation.
Languages: English, Spanish and Traditional Chinese.
The Raft of the Medusa: Video

Archimedes and the Rhombicuboctahedron. Archimedes the Geometer with animation.
 

Johnson's Theorem. Three equal circles pass through a common point... Introduction with animation.
 

Varignon and Wittenbauer paralellograms. Quadrilateral: midpoints and trisection points of the edges.

Desiderata: Max Ehrmann's Poem for a Way of Life. Problem Solving inspiration with animation.

See also: Spanish version

Inca Music. One of  the best-known Inca folk tune in the world (due to Simon and Garfunkel's interpretation)

Van Aubel's Theorem. Quadrilateral with Squares. Proof with animation.
 

Butterfly Theorem Proof with animation.

Butterfly Theorem: Puzzle.

"Inca City" on Mars with animation.

Langley's Problem Adventitious angles. 20° isosceles triangle with animation.
 

Top Ten Reasons to Enjoy Geometry with animation.

Triangle with Squares Problem

Sangaku Problem. The incenters of four triangles in a cyclic quadrilateral form a rectangle.

Cuzco. Inca Empire Capital.

Machu Picchu,The Lost City of the Incas.

The Lord of Sipan.

See also: The Incas

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