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Nazca Lines Bird's-eye view of the Monkey (90 meters / 295 feet long).

Above, left: Bird's-eye view of the Nazca lines, the Monkey (90 meters / 295 feet long). The Nazca Lines are gigantic geoglyphs located in Peru.
 

Welcome! Geometry Step-by-Step from the Land of the Incas provides an eclectic mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", Cuzco, Machu Picchu, Lost City of the Incas, Nazca Lines, the Quipu, the Lord of Sipan, Caral: the oldest civilization in the Americas, and more. Site created and maintained by Antonio Gutierrez.

 

This site is best viewed with Firefox or Internet Explorer and at a resolution of 1024 x 768 or higher.

Requires: Flash Player, Java JRE 1.3 or higher and JavaScript.

 

Recent Additions (Page 19 of 20)

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Proposed Problem 68

60.

Ceva's theorem

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

59.

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

58.

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

57.

Triangle with the bisectors of the exterior angles

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

56.

Napoleon's Theorem

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

55.

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

54.

Morley's Theorem Puzzle: 22 pieces of polygons.

53.

Sierpinski Triangle and Machu Picchu. Fractal illustration with animation.

52.

Sierpinski Triangle and Machu Picchu. Puzzle.

51.

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.

50.

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.

49.

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.

48.

Inca Quiz. Ten questions in random order.

47.

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

46.

Sipan and Geometric Art

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

45.

I've Learned Inspirational poem with animation and sound.

44.

On Children

On Children a poem by Kahlil Gibran.

43.

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

Spanish version

42.

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

41.

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

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Last updated: July 21, 2008