Welcome to Geometry from the Land of the Incas
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.
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.
Geometry from the Land of the
Incas - Recent
Additions (Page 1 of 14)
Proposed
Problem 400 .
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence.
Inca in Brescia: Live the Legend - Origin and Mysteries of the Golden Civilization”, .
Dec 4, 2009 - Jun 27, 2010.
Andean nations seek revival for ancient Inca tongue .
Argentina, Bolivia, Chile, Colombia, Ecuador, Peru.
Proposed
Problem 399 .
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence.
Several Circles (1926) by Wassily Kandinsky and the Golden Rectangle .
Proposed
Problem 398 .
Parallelogram, Area, Similarity, Congruence.
Yma Sumac Index ,
'Peruvian songbird', 'Nightingale of the Andes', 'The Castafiori
Inca'
Inca Music:
noted Peruvian soprano.
Proposed
Problem 397 .
Triangle, Altitude, Midpoints, Congruence.
The Lost Symbol by Dan Brown, Word Cloud .
Mind map of characters, Interactive Washington D.C. map, Videos.
Proposed
Problem 396 .
Square, Angle Trisectors, Congruence, Area.
Related Geometry Topics:
Computational ,
Manifold ,
Topology ,
String theory ,
Coordinate ,
Analytical ,
Trigonometry ,
Projective ,
Algebraic ,
Differential ,
Symplectic ,
Lie theory ,
Fractal ,
Dimension theory ,
Computer
graphics ,
Atiyah ,
Gromov ,
Perelman .
Proposed
Problem 395 .
Square, 15 Degree, Equilateral triangle.
Related Geometry Jobs Topics:
Design ,
Construction ,
Architecture ,
Interior design ,
Furniture ,
Engineer ,
Physicist ,
Astronomer ,
Plumbing ,
Cabling ,
Lighting ,
Acoustic ,
Roads ,
Maps ,
Navigational system ,
GPS ,
CAD ,
Gardening ,
Computer games ,
Robotics ,
Computational geometry ,
Medical imaging ,
Structural engineering ,
Protein modeling ,
Surveyor ,
Finite element analysis ,
Stock market ,
Programmer ,
Java ,
Teacher ,
Landscaper ,
Set Design ,
Graphic designer ,
Digital animator ,
Art
Maps and News:
Cerro Verde Mine .
Explore Cerro Verde, Arequipa, Tacna, Peru through detailed satellite imagery.
Kosnita's
Theorem .
Circumcenters, Concurrent lines.
Maps and News: Pierina Mine .
Explore Pierina Mine, Ancash, Peru through detailed satellite imagery.
Proposed
Problem 394 .
Square, 90 Degree Arc, Diagonal, Congruence.
Maps and News:
Yanacocha Mine .
Explore
the geometry of Yanacocha, Cajamarca, Cuzco, Peru through detailed Google satellite imagery.
Maps and News:
Antamina Mine .
Explore the geometry of Antamina, San Marcos, Huari, Ancash, Peru through detailed satellite imagery.
How Important is Geometry on the SAT?
Video.
Maps and News:
Toquepala Mine .
Explore Toquepala, Ilabaya, Tacna, Peru through detailed satellite imagery.
Caterpillar 797F, Open Pit Mining Operation .
Video.
Proposed
Problem 393 .
Triangle, Orthocenter, Circumcircles, Congruence, Collinear.
Bingham Canyon Mine .
Video
World's Largest Mine - Bingham Canyon Open Pit Copper Mine.
Proposed
Problem 392 .
Triangle, Parallel lines, Concurrent lines.
Maps and News:
Bingham Canyon Mine .
Explore the geometry of the Bingham Canyon Mine, Utah through detailed Google satellite imagery.
Proposed
Problem 391 .
Triangle, Parallel lines, Collinear points.
Maps and News:
Fimiston Super Pit gold mine .
Explore the geometry of the Super Pit gold mine, Western Australia through detailed Google satellite imagery.
The Fimiston Super Pit gold mine . Video.
Australia's largest open cut gold mine.
Median Index .
Theorems and Problems.
Pre-Inca Killke
Pottery , Mind Map
Killke and Killke-Related Pottery from Cuzco, Peru, in the Field Museum of Natural History by Brian S. Bauer and Charles Stanish.
The Inti Raymi
Video.
Proposed
Problem 390 .
Triangle, Parallel lines, Collinear points.
Video:
Khalil Gibran, a Restrospective
Proposed
Problem 389 .
Triangle, Parallel lines, Harmonic Mean.
Brandon Jennings Mind Map .
Jennings' 55 Points Sets NBA Record. November 14, 2009.
Proposed
Problem 388 .
Triangle, Angle bisector, Perpendicular, Parallel.
Proposed
Problem 387 .
Triangle, Angle bisector, Perpendicular, Concyclic points.
Kseniya Simonova - Sand Animation .
2009 Winner of Ukraine's Got Talent Video .
Proposed
Problem 386 .
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter,
Congruence.
Kahlil Gibran Index .
Proposed Problem 385 .
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.
Proposed
Problem 384 .
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.
Khalil Gibran: 16 mm
Film
Video.
Philosophy of Mind, Interactive Mind Map .
Proposed
Problem 383 .
Concave
Quadrilateral, Angle Bisectors, Semi-difference of Angles.
Chord .
Index.
A chord of a circle is the line segment joining two points on the
circle.
The United States Capitol rotunda .
Mathematics Selections .
Euclidean
Geometry Selections
Random articles.
Geometry - Math Selections
Random articles
Algebraic Geometry Selections
Projective Geometry Selections
Western Artists: 500 Years of Women in Art .
Surfing: Geometry of tube shape .
Western Artists: 500 Years of Male Self Portraits .
Eugene Delacroix (1798 -1863) .
Library of Essential Reading .
Mind Map.
Vincent
van Gogh:"Self Portraits" .
Video.
Jimbaran, Bali, Acintya .
Pigeons Rock, Raouche, Beirut .
Pigeons Rock, Raouche, Beirut .
Pigeons Rock, Raouche, Beirut .
The Quipus ,
Index.
The Quipus and The Royal Commentaries of the Inca,
1609 ,
Caral: Ancient Peru city reveals 5,000-year-old 'writing' ,
The Quipus and Hiram Bingham ,
The Quipucamayocs ,
The Quipu
Video
The Quipus: Illustrations from 1615 by Felipe Guaman Poma de Ayala
The Royal Commentaries of the Incas .
by Inca Garcilaso de la Vega.
Mind Maps:
Book
I ,
Book
II ,
Book
III ,
Book
IV ,
Book
V ,
Book
VI ,
Book
VII ,
Book
VIII ,
Book
IX
The Royal Commentaries of the Incas .
Word Cloud, Common terms and phrases.
Proposed
Problem 382 .
Concave
Quadrilateral, Angle Bisectors, Angles.
Proposed
Problem 381 .
Quadrilateral, Diagonals, Angle Bisectors, Angles.
Pre-Inca, Ceramics of Ancient Peru .
Mind Map.
Proposed
Problem 380 .
Triangle, Excenter, Parallel to a side, Angle, Congruence.
Proposed
Problem 379 .
Triangle, Excenter, Parallel to a side, Angle, Congruence.
The
Incas Mind Map .
Based on 'The Incas' by Terence N. D'Altroy.
Proposed
Problem 378 .
Triangle, Incenter, Parallel to a side, Angle, Congruence.
Proposed
Problem 377 .
Triangle, Internal Angle Bisector, Altitude.
Proposed
Problem 376 .
Triangle, Excenter, Internal and External Angle Bisectors.
Proposed
Problem 375 .
Triangle, Excenter, External Angle Bisectors.
Proposed
Problem 374 .
Triangle, Incenter, Internal Angle Bisectors.
Inca Gold,
Mining .
Index.
Proposed
Problem 373 .
Square, Inscribed Circle, Diagonal, Perpendicular, Angle.
Proposed
Problem 372 .
Circles, Common Internal and External Tangent, Angles.
Proposed
Problem 371 .
Square, Inscribed circle, Triangle, Area.
SAT Math
Practice ,
Index.
SAT
Math Practice 1 ,
Video.
The Tesoro Gold Project, Peru, St. Elias Mines .
The Property covers approximately 2000 hectares (5000 acres) and is part of the well-known gold-bearing Nazca-Ocona belt that is located in southern Peru.
Programming Methodology Course, Stanford University / Engineering, Video Lectures
open educational resource lectures by Professor Mehran Sahami for the Stanford Computer Science Department (CS106A).
Peruvian archaeologists find 17 500-year-old wood statuettes .
Trujillo, Peru.
Proposed
Problem 370 .
Triangle with squares, Circumcircles, Tangent circles.
Proposed
Problem 369 .
Intersecting circles, Chord, Center, Angle, Congruence.
Proposed
Problem 368 .
Triangle, 120 degrees, Angle bisectors, Perpendicular.
Proposed
Problem 367 .
Square, Angle, 45 degrees, Pythagoras, Congruence, Similarity.
Proposed
Problem 366 .
Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral triangle.
English ESL Index
English as a Second Language (ESL)
Proposed
Problem 365 .
Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence.
The Lost Symbol by Dan Brown, Word Cloud .
Proposed
Problem 364 .
Obtuse triangle, Congruence, Circles, Diameter, Curvilinear triangle, Area.
Proto-Quechua Mind
Map .
Quechua Index
Proposed
Problem 363 .
Right triangle, Congruence, Angles.
Obtuse Triangle .
Mascheroni
construction with compass alone . Index
Special Right Triangle
30-60 .
Special Right Triangles .
Word Cloud of
"The Road Not Taken"
The 10 Best Electric-Guitar Players .
Proposed
Problem 362 .
Circle, Chord, Perpendicular, Equal chords.
Cloud Computing Word Cloud
Weighted list in visual design
Euclid's Elements Book I Word Cloud .
Word Cloud or Tag Cloud
Index
Weighted list in visual design
Trigonometry
Word Cloud .
Metro Systems Index .
ISO Standards Index .
The Abacus
in Japan: Amazing Math Video .
Proposed
Problem 361 .
Right triangle, Incircle, Incenter, Tangency points, Angle.
ISO 9000 Word Cloud .
Word Cloud
Software Generator .
Master Degrees Word Cloud .
Proposed
Problem 360 .
Area of a triangle, Curvilinear triangles, Circles, Diameters.
Toronto: Sheppard Line TTC and Golden Rectangles .
The Sheppard Line is the newest subway line in Toronto, Ontario, Canada, operated by the Toronto Transit Commission.
COBIT: Control Objectives for Information and related Technology .
Interactive Mind Map.
Proposed
Problem 359 .
Cyclic quadrilateral, Angle bisector, Rhombus.
North Rose Window at Chartres Cathedral .
Golden Rectangles.
Proposed
Problem 358 .
Isosceles triangle 80-80-20, Circle, Angles, Congruence.
Atlanta MARTA: Metropolitan Atlanta Rapid Transit Authority and Golden Rectangles .
MARTA is the principal rapid-transit system in the Atlanta metropolitan area and the ninth-largest in the United States.
Rose Window at Church of St Matthias, Richmond .
Golden Rectangles.
Mascheroni construction: Find the center of a circle with compass alone .
Proposed
Problem 357 .
Square, Exterior point, Triangles, Area.
Proposed
Problem 356 .
Square, Point inside, Triangles, Area.
Amazon.com: Best Magazine Covers of the Year .
Call for Entries
Customers Who Vote for This Year's Best Magazine Cover Automatically Get a Chance to Win a $10,000 Amazon.com Gift Card.
Algebra
Index .
Interactive Mind Map
Algebra History
Algebra
Classification
Elementary Algebra
Mac OS X Reference Library, Interactive Mind Map .
Based on Developer.apple.com: Mac OS X Reference Library
Rose window at Strasbourg Cathedral .
Golden Rectangles.
Proposed
Problem 355 .
Circles, Common external tangent, Concyclic points.
Machu Picchu Window
6 .
Proposed
Problem 354 .
Rhombus, Square, 45 degrees.
Machu Picchu Window
4 .
Proposed Problem
353 .
Tangential quadrilateral, Diagonals, Incircles, Inradii.
Machu Picchu Window
3 .
Proposed Problem
352 .
Tangential quadrilateral, Incircles, Common tangent, Circumscribable or Tangential quadrilateral.
Proposed Problem
351 .
Rhombus, Incircles, Common tangent, Circumscribable or Tangential quadrilateral.
Computerworld Knowledge Centers .
Interactive Mind Map
Fields of Mathematics, Interactive Mind Map .
Mathematics can be subdivided into the study of quantity,
structure, space, and change.
Proposed Problem
350 .
Triangle, Cevian, Incircles, Tangents, Tangency Point, Angles.
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