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Specie registered in Machu Picchu.

Above, left: Butterfly specie registered in Machu Picchu, Lost City of the Incas, Cuzco. 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 3 of 20)

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620.

Elearn: Geometry

Top Ten Reasons to Enjoy Geometry.

619.

Fibonacci, Fractals and Financial Markets

Fibonacci, Fractal Geometry and Financial Markets.

618.

Elearning 117 Areas

Proposed Problem 117. Area of triangle, incenter, excircles, tangent.

617.

Geometry Problem 116

Proposed Problem 116. Area of triangle, excircles, tangent.

616.

Elearning 115: Problem

Proposed Problem 115. Area of triangle, excircles, tangent.

615.

Inca Music, El Condor Pasa:
Espiritu Andino, Los Incas (Urubamba)-1963, Incas Wasi, Roxsana Ambicho, the Inkas, Paul Mauriat, Gigliola Cinquetti, Marc Anthony, BZN, European version, Los Pasteles Verdes, Agua MarinaMariachi Vargas, Chinese version, Simon & Garfunkel, Different versions, Condor Condor, Placido Domingo
. Updated

614.

Andean Music

Andean Music, Alpamayo: La Lluvia, Crossing the Andes.

613.

El Condor Pasa, Inca Music.

El Condor Pasa by Los Incas (Urubamba) 1963. Inca Music.
Placido Domingo, Agua Marina.

612.

Solving Problems Dan Roam

Dan Roam visits Google's Mountain View, CA headquarters to discuss his book "The Back of the Napkin: Solving Problems and Selling Ideas with Pictures." This event took place on May 27, 2008, as part of the Authors@Google series.

611.

The Back of the Napkin: Visual Thinking

The Back of The Napkin by Dan Roam, Book Brief.
Solving Problems and Selling Ideas with Pictures.

610.

Raul Garcia Zarate

Raul Garcia Zarate: Adios Pueblo de Ayacucho, Desde tu Separacion, Yaravi,
Carnaval Ayacuchano, Virgenes del Sol, Arriba Huamanga,
Flor de Sancayo y Margarita, Parihuana, Cuzco Dance,
Atipanakuy, Danza de tijeras

609.

Brain Rules

Brain Rules, 12 Principles for Surviving and Thriving at Work, Home, and School by Dr. John Medina.

608.

Brain Rules. Dr. John Medina Presentation at Google

Dr. Medina spoke about his new book "Brain Rules" at Google's Mountain View, CA headquarters.

607.

Brain Function: Index

Brain Function Index.

606.

Elearning 114: Area

Proposed Problem 114. Area of triangle, incircle, excircle.

605.

Elearning 113: Areas

Proposed Problem 113. Area of triangle, incircle, excircle.

604.

Machu Pucchu

Who Found Machu Picchu?.
Detailed investigations by a US historian have revealed that Machu Picchu was, in fact, discovered over 40 years earlier by a German businessman.

603.

Area of Square and triangle, Elearning.

Proposed Problem 112. Area of square and triangle.

602.

Elearning 111: Orthogonal Circles.

Proposed Problem 111. Orthogonal Circles.

601.

Stonehenge and Golden Rectangle

Stonehenge builders had geometry skills to rival Pythagoras
Five years of detailed research, carried out by the Oxford University landscape archaeologist Anthony Johnson, claims that Stonehenge was designed and built using advanced geometry.

600.

Research: Golf Prolongs Life

Research: Golf Prolongs Life
Golf adds five years to your life

599.

Contact Triangle Area. Elearning.

Proposed Problem 110. Area of Contact Triangle.

598.

Problem 109. Elearning.

Proposed Problem 109. Angles, Right Triangle, Cevian.

597.

MAA's Mathematical Study Tour of Peru, the Land of the Incas.
The Mathematical Association of America is announcing the 6th annual MAA Mathematical Study Tour of Peru.
Explore Peru, its mathematics, cultural heritage and scenic wonders, with leadership by two Peru experts: Douglas Sharon, former director of the Hearst Museum of Anthropology at UC-Berkeley and Carrie Brezine, manager of the quipus (khipus) database at Harvard.

596.

Teaching children geometry 1, elearning.

Teaching Geometry and Donald in Mathmagic Land 1/3.

595.

Teaching children geometry 2, elearning.

Teaching Geometry and Donald in Mathmagic Land 2/3.

594.

Teaching children geometry 3, elearning.

Teaching Geometry and Donald in Mathmagic Land 3/3.

593.

Mind Map of Google Finance

Mind Map of Google Product: Google Finance.

592.

Golden Rectangles and Taj Mahal

The Taj Mahal and Golden Rectangles.

591.

Nazca Lines and Indiana Jones

Nazca Lines and Indiana Jones
See also: Two British archaeologists of the University of Bristol exploring Peruvian mystery.
Nazca Lines and Indiana Jones Video.

590.

Golden Rectangle, Ratio, Fibonacci Spiral

The Golden Rectangle and the Helix Nebula, image of the Helix Nebula, compiled from Hubble telescope and Golden Rectangles.

589.

Inca Skull Surgery

Inca Skull Surgery
Inca Skull Surgeons Were "Highly Skilled," Study Finds.
Trepanation = square hole in the skull.

588.

Nazca Lines and Crop Circles

Nazca Lines and Crop Circles

587.

Problem 108. Elearning.

Proposed Problem 108. Angles, Triangle, Median.

586.

Elearning 107.

Proposed Problem 107. Angles, Triangle. Cevian.

585.

Problem 106, Elearning

Proposed Problem 106. Angles, Triangle. Cevian.

584.

The Lord of Sipan

The Lord of Sipan, Video.
Index

583.

Mind Map of The Road Not Taken. Elearning.

Mind Map of "The Road Not Taken"

582.

Web 2.0 in five minutes

Web 2.0 in 5 minutes, The Machine is Us/ing Us this video is to help teach educators about Web 2.0 tools.

581.

Understanding Web 2.0

Understanding Web 2.0 this video is to help teach educators about Web 2.0 tools.

580.

Project Brainstorming

Geometry Projects Brainstorming.

579.

Online learning 105

Proposed Problem 105.Angles, Triangle. Interior Point.

578.

Online Tutoring 104

Proposed Problem 104. Angles, Triangle.

577.

Pythagoras curiosity. Online tutoring.

The Pythagorean Curiosity Triangles and squares, fifteen conclusions.

576.

Elearning 103.

Proposed Problem 103.Equilateral Triangle Area, Interior Point, Heron's Formula.

575.

Regents Exam Preparation

Mind Map of Geometry New York State Regents Exam Preparation.

574.

Waldorf Education

Geometry Waldorf Education. Grade Six.

573.

Potato_inca_food

Potato Inca's Food
As Other Staples Soar, Potatoes Break New Ground.

572.

Bandurria, Peruvian Archeological Site

Bandurria is the oldest Peruvian archaeological site, says expert
Bandurria may rival Caral as oldest citadel in Americas.
Satellite View: circular ceremonial center

571.

Geometry Musical Theory

Geometry shapes sound of music. Journal Science publishes paper by music professors from Florida State, Princeton and Yale.

570.

Problem 102. Elearning, Online Tutoring

Proposed Problem 102.Equilateral Triangle Area, Interior Point.

569.

Elearning, Online Tutoring 101

Proposed Problem 101.Equilateral Triangle, Pythagorean Theorem, Angles.

568.

Machu Picchu and Yale University. UpdatedApril 17, 2008
A compilation of news stories on the controversy
.
The Peruvian government is demanding that Yale return the artifacts found at the ancient Incan city of Machu Picchu.

567.

Triangle Square Theorem 1. Elearning, Online Tutoring

Triangle and Squares Theorem 1: with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.

566.

Bottema Theorem. Elearning.

Bottema's Theorem: Triangle and Squares with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.

565.

Eight Point Circle Theorem. Elearning

Eight-Point Circle Theorem
Step-by-Step construction, Manipulation, and animation.

564.

ny

Mind Map of New York SED Math Standard 3

563.

Circle area problem. Elearning 100

Proposed Problem 100. Circle Area, Archimedes' Book of Lemmas.

562.

Circle area and Pythagoras

Proposed Problem 99: Circle Area, General Extension to Pythagoras' Theorem.

561.

Quadrilateral Area, Elearning.

Proposed Problem 98. Quadrilateral Area, Centroid, Similarity.

560.

Complete quadrilateral: ortholine, Elearning

Complete Quadrilateral: Ortholine-Steiner Line.
Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation

559.

Charlton Heston and Machu Picchu

Charlton Heston and Machu Picchu (1954). Film legend Charlton Heston dead at 84.

558.

VIsion of K-12 Students. Elearning.

A Vision of K-12 Students Today.

557.

Elearning 97

Proposed Problem 97. Similar Triangles, Areas.

556.

Elearning 96

Proposed Problem 96. Similar Triangles, Incenters, Parallelogram.

555.

Problem 95, Elearning

Proposed Problem 95. Similar Triangles, Inradii, Parallel.

554.

Problem 94, Elearning

Proposed Problem 94. Similar Triangles, Circumcircles, Circumradii.

553.

Elearning 93 Parallelogram

Proposed Problem 93. Similar Triangles, Circumcircles, Parallelogram.

552.

Elearning Problem 92

Proposed Problem 92. Similar Triangles, Circumcircles, Circumradii, Parallel.

551.

Elearning 91

Proposed Problem 91. Similar Triangles, Altitude, Parallel.

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Last updated: August 28, 2008