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 11 of 14)

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Equilateral triangle

260.

Mind map of the Geometry Center website
 

259.

Chachapoya Pre-Inca ruin discovered in Peru. January 17, 2007
 

258.

Chachapoyas Pre-Inca Mummies

Chachapoyas Mummies.
Moment 600 years ago that terror came to Mummies of the Amazon.

257.

Colca Canyon and Pre-Inca Terraces

Colca Canyon and Pre-Inca Terraces
It is one of the deepest canyons in the world at 10,725 ft (3,269 meters)

256.

Geometry Help Topics for 4-8 grades by MathLeague
 

255.

The School of Athens
Perspective: the Central Vanishing Point.

254.

Geometry in Action: Branching into geometry
Espaliered fruit trees can take many forms.

253.

The Foundations of Geometry by David Hilbert
Interactive Mind Map.

252.

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.

251.

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.

250.

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.

249.

Inca Gods and the Intihuatana stone

The Incas and Religion.
Inca Gods
The Intihuatana stone.
 

248.

The Incas and Customs.
The Coricancha, Temple of the Sun.
 

247.

Adams' Circle Theorem
 

246.

Journal Science selects top 10 scientific breakthroughs of 2006
Science breakthrough of the year: The Poincare Conjecture Proved.

245.

Colosseum, Rome and the election of the New Seven Wonders of the World. 
Interactive Map

244.

 Easter Island Statues and the election of the New Seven Wonders of the World.
Interactive Map

243.

Geometry and the Imagination by David Hilbert and Stephan Cohn-Vossen
Interactive MindMap

242.

Geometry from the Land of the Incas.Welcome
Interactive illustration.

241.

Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.

240.

Chemistry professor clarifies process that allows humans to see in low light reciting "The Road Not Taken", Robert Frost's poem about choices and decision making.

239.

Spieker Center

238.

The Incas and Weaving.

237.

The Incas and the People.

236.

Proposed Problem 39.
Triangle, Incircle, Bisector, Cyclic Quadrilateral and angles.

235.

Proposed Problem 39 Geometry Help.
Facts you should know for the proposed problem 39.

234.

The Incas and Metallurgy.

233.

The Incas and Pottery

The Incas and Pottery. The Incas carried to a remarkable extreme the manufacture of graceful, symmetrical pottery.

232.

Pre-Inca Sican treasures of Peru's Pomac Forest
Pre-Inca burial site found.
Archaeologists discover 1,000-year-old mausoleum in Peru
Tomb find reveals pre-Inca city

 

231.

The Incas Language

The Incas Language: Quechua.

230.

Christ Redeemer, Rio de Janeiro, Brazil and the election of the New Seven Wonders of the World.

229.

Second Ajima-Malfatti Point
Interactive illustration.

228.

Angkor, Cambodia and the election of the New Seven Wonders of the World.

227.

Chichen Itza, Yucatan, Mexico and the election of the New Seven Wonders of the World.

226.

Kiyomizu Temple, Kyoto, Japan and the election of the New Seven Wonders of the World.

225.

Statue of Liberty, New York, USA and the election of the New Seven Wonders of the World.

224.

Sydney Opera House and the election of the New Seven Wonders of the World.

223.

Timbuktu, Mali and the election of the New Seven Wonders of the World.

222.

Proposed Problem 38.
Right Triangle, altitude, incircles, incenters, and angles.

221.

Proposed Problem 37.
Right Triangle, altitude, incircles, incenters, and orthocenter.

220.

First Ajima-Malfatti Point
Animated illustration.

219.

The Incas and Domestic Animals

The Incas and Domestic Animals.

218.

Proposed Problem 36.
Right Triangle, altitude, incircles and inradii.

217.

Triangle and Squares 19  

216.

Inca Trail

Machu Picchu, interactive panorama view from San Miguel Mountains.

 

215.

The Incas and their Civilization

 

214.

The Incas and Architecture

 

213.

The Incas and Civil Engineering

 

212.

The Incas and Irrigation

 


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Last updated: October 17, 2009