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.

 

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Recent Additions (Page 14 of 14)

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The Incas Language

30.

Quizzes: Geometry SAT Techniques, matching exercises.

 

29.

The Lord of Sipan Puzzle: 22 pieces of polygons.

28.

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.
 

27.

Geometry jokes Crossword.

26.

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

25.

The Bevan Point: Puzzle

24.

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

23.

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

22.

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

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

21.

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

20.

Angle between two Simson Lines. Proof with animation.
 

19.

Simson Line. A proof of Simson line with animation.

18.

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

17.

Archimedes and the Rhombicuboctahedron. Archimedes the Geometer with animation.
 

16.

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

15.

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

 

14.

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

See also: Spanish version

13.

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

12.

Van Aubel

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

11.

Butterfly Theorem Proof with animation.

10.

Butterfly Theorem: Puzzle.

9.

"Inca City" on Mars with animation.

8.

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

7.

Top Ten Reasons to Enjoy Geometry with animation.

 

6.

Triangle with Squares Problem

5.

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

4.

Cuzco. Inca Empire Capital.

3.

Machu Picchu,The Lost City of the Incas.

2.

The Lord of Sipan.

1.

See also: The Incas


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Last updated: June 24, 2008