Welcome to Geometry from the Land of the Incas (Page 1 of 14)

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

Triangle and Squares Theorems

 

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. On July 7th, 2007, Machu Picchu was voted as one of New Open World Corporation's New Seven Wonders of the World. Site created and maintained by Antonio Gutierrez.


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Geometry from the Land of the Incas - Recent Additions (Page 1 of 14)

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GoGeometry: New website of Geometry from the Land of the Incas 

GoGeometry New website and domain for Geometry from the Land of the Incas.

570.

Geometry Problem 107, Elearning.

Proposed Problem 107.Angles, Triangle. Cevian.

569.

Projects Brainstorming. Elearning

Geometry Projects Brainstorming.

568.

Geometry Problem 106, Elearning.

Proposed Problem 106. Angles, Triangle. Cevian.

567.

Waldorf Education

Geometry Waldorf Education. Grade Six.

566.

Elearning 105, Online tutoring

Proposed Problem 105.Angles, Triangle. Interior Point.

565.

Elearning 104, Online tutoring

Proposed Problem 104. Angles, Triangle.

564.

Mind Map of Geometry New York State Regents Exam Preparation

Mind Map of Geometry New York State Regents Exam Preparation

563.

Pythagoran Curiosity, 14 conclusions

The Pythagorean Curiosity Triangles and squares, fifteen conclusions

562.

Elearning 103

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

561.

Potato Inca's Global Food

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

560.

Bandurria, Pre-Inca Culture

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

559.

Problem 103

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

558.

Professors paper" Princeton, Yale, FSU University

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

557.

Problem 102. Elearning, Online Tutoring.

Proposed Problem 102.Equilateral Triangle Area, Interior Point.

556.

Problem 101. Elearning, Online tutoring.

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

555.

Machu Picchu and Yale University. Elearning, Online Tutoring.

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.

554.

Triangle and Square theorem 1. Elearning.

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

553.

Bottema theorem. Elearning

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

552.

Eight Point Circle

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

551.

Quadrilateral Area. Elearning 98

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

550.

Quadrilateral Area. Elearning 98

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

549.

Quadrilateral Area. Elearning 98

Proposed Problem 98. Quadrilateral Area, Centroid, Similarity.

548.

Complete quadrilateral

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

547.

Math problem 97 Elearning

Proposed Problem 97. Similar Triangles, Areas.

546.

Math problem

Proposed Problem 96. Similar Triangles, Incenters, Parallelogram.

545.

Math problem 95 Elearning

Proposed Problem 95. Similar Triangles, Inradii, Parallel.

544.

Math problem 94

Proposed Problem 94. Similar Triangles, Circumcircles, Circumradii.

543.

Gergonne theorem. Elearning.

Gergonne's Theorem: Triangle and Concurrent Cevians.

542.

Math problem

Proposed Problem 93. Similar Triangles, Circumcircles, Parallelogram.

541.

Math problem 92 Elearning

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

540.

Math problem 91

Proposed Problem 91. Similar Triangles, Altitude, Parallel.

539.

Math problem

Proposed Problem 90. Quadrilateral and Triangle Areas, Midpoints.

538.

Math problem

Proposed Problem 89. Triangles of equal area, Midpoints.

537.

Charlton Heston and Machu Picchu

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

536.

Inca Music Wayanay

Wayanay Inca: Suenos del Inca, Pastorcita, Bamboo, Dulce Jazmine, Regresa Amor

Yawar Inka: Mensaje Inka, Aysha

535.

Math Problem

Proposed Problem 88. Triangle and Quadrilateral Areas, Midpoints.

534.

Math Problem

Proposed Problem 87. Area of Quadrilaterals and Midpoints of Diagonals.

533.

Math Problem

Intouch and Extouch Triangles. Puzzle cut: 20 Piece Classic
Based on
Proposed Problem 86.

532.

Math Problem

Proposed Problem 86. Intouch and Extouch Triangles, Areas

531.

Math Problem

Puzzle: Marion Walter's theorem. Puzzle cut: 12 Piece ZigZag
Based on Marion Walter's theorem

530.

Escher

Puzzle: Metamorphosis III Puzzle cut: 20 Piece Birds
Base on Metamorphosis III

529.

Math Problem

Contact Triangles. Puzzle cut: 22 Piece Polygons
Based on
Proposed Problem 85

528.

Math Problem

Proposed Problem 85. Contact Triangles Areas, Incircle, Excircle.

527.

Math Problem

Proposed Problem 84. Contact Triangles Areas, Incircle, Excircle, Inradius, Exradius.

526.

Inca Trail

Espiritu Andino (Andean Spirit):
El Condor Pasa, Ocarina,
Pan Flute,
San Juanito,
Tupac Amaru, Takirari,
Poncho

525.

Inca Trail

History of the Incas 1 - Inca Trail,
 2,
 3,
 4,
 5,
 6.

524.

Math Problem

Proposed Problem 83. Area of the Excircle Contact Triangle, exradius, circumradius.

523.

Pi Day

Thank God it’s Pi Day: Next Friday is a rather special date. The month (3) and the day (14) give us 3.14  which is pi to two decimal places. That’s enough for teachers around the world to mark it as International Pi Day.
Video: Pi Day made by a 7th grade math teacher for students in Louisville, KY.

522.

MAA's Mathematical Tour of Peru 2008

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 khipus database at Harvard.

521.

Math Problem

Proposed Problem 82: Triangle. Area of the Contact Triangle, inradius, circumradius.

520.

Math Problem

Proposed Problem 81: Triangle. Area of a triangle, side, inradius, circumradius.

519.

Math Problem

Proposed Problem 80: Triangle. Area of a triangle, side, incircle, inradius.

518.

Alpamayo Peak

Alpamayo Peak. Almost perfect pyramid of ice. Elevation 19,511 ft (5,947 meters).

517.

Math Problem

Proposed Problem 79: Triangle. Similarity, Altitudes, Orthocenter, Incircles, Inradii.

516.

Math Problem

Proposed Problem 13: Angles of a Triangle. Hints are provided. Updated

515.

Math Problem

Proposed Problem 1: Angles of a Triangle. Midpoint, Congruence. Hints are provided.Updated

514.

I have used Geometry Expressions, the world's first Interactive Symbolic Geometry System, to visualize the Archimedean Twins and check out a variety of conjectures.

513.

Math Problem

Proposed Problem 78: Angles of a Circle. Perpendicular and parallel lines, Midpoint, Diameter, Chord, Cyclic quadrilateral, Congruence.

512.

Computer predict

Computers can use geometry to predict pretty faces
The Renaissance artists’ formula for beauty.

511.

Math Problem Circle Angles

Proposed Problem 77: Angles of a Circle. Parallel lines, Cyclic quadrilateral.

510.

Andean Music, Damaris Mallma: Pukllay / Carnival,
Dame una Senal / Give me a Sign,
Triste y Sola,
Imillitay (Tinku)

509.

Andean Music, Damaris Mallma: Tusuy Kusun, the winner of Vina del Mar 2008,
Tusuy Kusun in Lima, Peru 2007

508.

Andean Music, Los Kjarkas: Llorando se Fue
Imillitay (Tinku).

507.

Geometry of Love Live in China 2004 by Jean Michel Jarre.
Cone, Sphere, Cylinder...

506.

Sechin Bajo

Plaza in Peru may be the America's oldest urban site
The circular structure at the ruins of Sechin Bajo is about 5,500 years old, archaeologists report.

505.

Sechin Bajo

Ancash: Huaraz, Huascaran, Chavin, Sechin, Chanquillo, Alpamayo and More.

504.

Area of Circle

Proposed Problem 76: Area of a Circle. Square, Circle, Circular Sector.

503.

Sacred Geometry

Sacred Geometry: Introduction by Charles Gilchrist.

502.

Sacred Geometry

Sacred Geometry: Seven Tangent Circles by Charles Gilchrist.

501.

Vesica Piscis

Sacred Geometry: the Vesica Piscis by Charles Gilchrist.


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Last updated: May 14, 2008