Inca Trail to Machu Picchu, the Lost City of the Incas

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.
Right: Butterfly theorem.

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 13 of 14)

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The Incas Language

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. 
 

40.

Machu Picchu and Geometric Art

Machu Picchu and Geometric Art randomly generated with animation.

39.

Miquel's Pentagram Theorem

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

38.

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.
 

37.

Parallelogram with Squares theorem Thébault's Theorem.
 

36.

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.

35.

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.
 

34.

Geometry Problems

Geometry Problems.
 

33.

Geometry Proofs jokes

Geometry Proofs jokes. Matching exercise.

32.

Triangle Centers. Word find puzzle.

31.

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


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Last updated: June 24, 2008