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)

 

Classical theorems

 

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

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

1112.

Geometry Expressions Mind Map

Geometry Expressions Help. Interactive Mind Map.

1111.

Three Tangent Circles

Proposed Problem 315.
Three Tangent circles, Common external tangent line, Geometric Mean.

1110.

Geometric, Arithmetic, Harmonic Mean Relationship

Arithmetic Mean, Geometric Mean, Harmonic Mean, Root Mean Square.

1109.

Tangent circles and line

Proposed Problem 314.
Tangent circles, Common external tangent line, Geometric Mean.

1108.

Circle, Chord, Tangent, Perpendicular

Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean.

1107.

Sacred Geometry: Labyrinth

Theseus and the Minotaur Labyrinth. Golden Rectangles.

1106.

Geometric Mean Index

Geometric Mean.

1105.

FDA mind map

Food and Drug Administration, Interactive Mind Map based on FDA.gov.

1104.

Elearning 312: Cyclic quadrilateral

Proposed Problem 312.
Cyclic quadrilateral, Side extensions, Tangents.

1103.

Angle 45, 90, 135, Theorems and Problems

Angles: 45, 135 degrees.

1102.

Geometry Expressions Mind Map

Geometry Expressions Help. Interactive Mind Map.

1101.

Graphic Organizers Mind Map

Graphic Organizers Interactive Mind Map.

1100.

Circle, Semicircle, Chord, Diameter

Proposed Problem 311.
Circle Inscribed in a Semicircle, Chord, Diameter.

1099.

Hexagon, Nature's perfect shape

The Hexagon, nature's perfect shape.

1098.

Circle inscribed in a semicircle

Proposed Problem 310.
Circle Inscribed in a Semicircle, 45 Degrees Angle.

1097.

Waldorf Education

Steiner-Waldorf Education Interactive Mind Map.

1096.

Steiner Waldor Education Index

Steiner-Waldorf Education Index.

1095.

Waldorf Education: Geometry Ten Grade

Discover Waldorf Education: An Overview.
The Waldorf Curriculum is illustrated through the medium of classroom work by students from grades one through twelve.

1094.

Google Calculator: Area of a circle

Google 15 second search tips: Calculator
To use Google's built-in calculator function, simply enter the calculation you'd like done into the search box.

1093.

Google Search, Unit Conversion

Google 15 second search tip: Unit Conversion.
You can use Google to convert between many different units of measurement of height, weight, and volume among many others. Just enter your desired conversion into the search box and well do the rest
.

1092.

Google Calculator Currency Conversion

Google 15 second search tip: Currency Conversion

1091.

Google Search, Dictionary

Google 15 second search tip: Dictionary 'define'.
To see a definition for a word or phrase, simply type the word "define" followed by the word(s) you want defined.

1090.

Nonagon problem

Proposed Problem 309.
Regular Nonagon or Enneagon, Diagonals, Side.

1089.

Beijing Water Cube

Eight Year Old Boy First Visitor Of Beijing Water Cube.

1080.

Elearning Geometry Problem 308

Proposed Problem 308.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle.

1079.

Evany Fanzeres, Perspective in Motion

Perspective in Motion by Evany Fanzeres.

1078.

Nonagon or enneagon

Nonagon or Enneagon. Theorems and Problems

1077.

Nonagon, Midpoints, Angle

Proposed Problem 307.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle.

1076.

Elearning 306: Square and Triangles

Proposed Problem 306.
Square, Triangles, Angles, Sides.

1075.

Problem 305: Square and Triangle

Proposed Problem 305.
Square, Triangles, Angles, Sides.

1074.

Triangle and angle bisector of 120 degrees

Proposed Problem 304.
Triangle, Angle bisector of 120 degrees.

1073.

Triangle and angle bisector of 90 degrees

Proposed Problem 303.
Triangle, Angle bisector of 90 degrees.

1072.

Triangle and angle bisector of 60 degrees

Proposed Problem 302.
Triangle, Angle bisector of 60 degrees.

1071.

Tangents to a circle, Secants

Proposed Problem 301.
Tangents to a circle, Secants, Square.

1070.

Angles 30, 60, 120 Index

Angles 30, 60, 120 degrees.

1069.

Flower of Life Index

Flower of Life.

1068.

Taj Mahal Geometry Shapes

Taj Mahal & Geometry Shapes.

1067.

Intersecting circles

Intersecting Circles Index.
Theorems and Problems.

1066.

Perpendicular lines Index

Perpendicular lines.
Theorems and Problems.

1065.

Tangent to a circle

Proposed Problem 300.
Tangent to a circle, Secant.

1064.

Elearning 299

Proposed Problem 299.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

1063.

Intersecting circles problem

Proposed Problem 298.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

1062.

Elearning 297

Proposed Problem 297.
Intersecting Circles, Chord, Secant, Radius, Angle, Perpendicular.

1061.

Excenter Index

Excenter. Index.
Excircle, Exradius.

1060.

Elearning 296, Intersecting circles

Proposed Problem 296.
Intersecting Circles, Chord, Radius, Angle, Perpendicular.

1059.

Archimedes Twin Circles

Proposed Problem 295.
Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular.

1058.

Soddy Circles and Descartes Theorem

Soddy Circles and Descartes Theorem.
Three tangent circles, Inscribed and Circumscribed Circles, Radii.

1057.

Problem solving 294

Proposed Problem 294.
Right triangle, Circumcenter, Excenter, Hypotenuse, Perpendicular.

1056.

Problem solving 293

Proposed Problem 293.
Inscribed Quadrilateral, Perpendicular, Rectangle, Isosceles Right triangle, Area, Similarity.

1055.

Problem solving 292

Proposed Problem 292.
Triangle, Parallel, Congruence, Similarity.

1054.

Trianle, Circle, Problem Solving

Proposed Problem 291.
Triangle, Circle, Circumradius, Perpendicular.

1053.

Euclid's Elements Book X

Euclid's Elements, Book X, Lemma for Proposition 33 One page visual illustration.

1052.

Parallel Lines

Parallel lines.
Theorems and Problems.

1051.

NCTM Standards

Principles and Standards for School of Mathematics. National Council of Teachers of Mathematics NCTM.

1050.

TracenPoche Interactive Software Applications

TracenPoche Interactive Geometry Software Applications.

1049.

Geometry Expressions

Geometry Expressions.

1048.

Rectangle Index

Rectangle. Theorems and Problems Index.

1047.

Tangent Circles

Proposed Problem 290: Internally Tangent circles, Radius, Perpendicular, Tangent.

1046.

Tangent Circles

Proposed Problem 289: Tangent circles, Radius, Perpendicular, Tangent.

1045.

GMAT MBA

Interactive Mind Map based on mba.com,
mba.com is the Official GMAT Web Site.

1044.

Circles, Harmonic Mean

Proposed Problem 288: Tangent circles, Harmonic Mean, Radius, Diameter.

1043.

Fields Medal

The Fields Medal awards ceremony 2006 in Madrid. Video.
The Fields Medal is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union, a meeting that takes place every four years.

1042.

Terence Tao

Terence Tao, UCLA, Math Prodigy.
Terence Tao was a seven year-old high school student when he began taking calculus classes. By age 20 he had received a Ph.D. from Princeton and joined the UCLA faculty.

1041.

Standardized Tests

Standardized tests in the United States,
Interactive Mind Map.

1040.

Google for Educators

Google for Educators Interactive Mind Map

1039.

Connie Talbot, Three Little Birds

Three Little Birds by Connie Talbot
Video.

1038.

Connie Talbot, Over the Rainbow

Connie Talbot in ellen: Over the Rainbow,
Video.

1037.

Connie Talbot Index

Connie Talbot, English Talent - Index.

1036.

Jan Vermeer

Soldier and a Laughing Girl.
by Johannes Vermeer.

1035.

Jan Vermer, Street in Delft

View of Houses in Delft, known as "The Little Street".
by Johannes Vermeer.

1034.

Jan Vermeer

Woman with a Balance by Johannes Vermeer.

1033.

GMAT

The Graduate Management Admission Test (GMAT) Interactive Mind Map.

1032.

GMAC mindmap

The Graduate Management Admission Council(GMAC) Interactive Mind Map.

1031.

GMAT Guide

GMAT Guide Index.

1030.

Polygon Classification

Polygon Classification. Interactive Mind Map.

1029.

Pablo Picasso, Self Portrait

Self Portrait, 1907 by Pablo Picasso
Throughout his long career Pablo Picasso often used self-portraits to depict himself in the many different guises, disguises and incarnations of his autobiographical artistic persona.

1028.

Piet Mondrian, Modern Art

Piet Mondrian, A Journey Through Modern Art
Video.

1027.

Mondrian for Children

Piet Mondrian, Art for Children
Video.

1026.

Google SketchUp

Google SketchUp Interactive Mind Map.
SketchUp is a
3D modeling program designed for architects, civil engineers, filmmakers, game developers, and related professions.

1025.

Google Products

Google Products Interactive Mind Map.

1024.

Sacred Geometry

Sacred Geometry.

1023.

Sacred Geometry Mind Map

Sacred Geometry Mind Map.

1022.

Snowflakes

Snowflakes: Hexagonal Symmetry and the Golden Rectangle.
The individual ice crystals often have hexagonal symmetry.

1021.

Wilson Bentley

Snowflakes: Wilson "Snowflake" Bentley
Wilson Bentley (1865 - 1931) is the first known photographer of snowflakes.

1020.

Chartres Cathedral

Engineering the Impossible: Chartres Cathedral
Circle, Square, Triangle.

1019.

Polygons

Polygons.

1018.

Octagon

Octagons.

1017.

Regular Octagon

Proposed Problem 287: Regular Octagon.

1016.

Octagon, Square

Proposed Problem 286: Square, Midpoints, Octagon.

1015.

Swine Flu Mind Map

Swine Flu Interactive Mind Map

1014.

Swine Flu by CDC

Swine Flu by CDC
Dr. Joe Bresee with the CDC Influenza Division describes swine flu.

1013.

Swine Flu Index

Swine Flu Index

1012.

Swine Flu Google Maps

Swine Flu Interactive Google Maps

1011.

Swine Flu Symptoms video

Symptoms of Swine Flu, video
Swine Flu Outbreak. One family's fight against deadly virus, CBSNews.com

1010.

PGA of America

PGA of America Mind Map
The Professional Golfers Association of America.

1009.

PGA Tour

PGA TOUR Mind Map.

1008.

USGA Golf

USGA US Golf Association Mind Map.

1007.

Circular Sector

Proposed Problem 285.
Circular Sector 90 degrees, Semicircles, Circle, Tangent, Radius.

1006.

Circular Sector

Proposed Problem 284.
Circular Sector 90 degrees, Semicircles, Tangent, Radius.

1005.

Circular Sector

Proposed Problem 283.. Circular Sector 90 degrees, Semicircle, Circle inscribed, Radius.

1004.

Incenter, Incircle

Incenter. Index.

1003.

Octagon

Octagon for Children. Video.

1002.

Right triangle

Proposed Problem 282.
Right Triangle, Cevian, Angles, Perpendicular, Congruence.

1001.

Problem 281

Proposed Problem 281.
Triangles, Angles, Isosceles, Equilateral.

1000.

Geometry Problems

Complete List of Go Geometry Problems.
Go Geometry Problems.

999.

Cyclic Quadrilateral

Cyclic Quadrilateral.
Index 

998.

Angle Bisector

Angle Bisector.
Index.

997.

The Abel Prize

Drawing parallels in geometry.
Mikhail Gromov has been awarded the Abel Prize for his work making sense of the range of geometries that appeared in the 19th century and he is a worthy successor to the likes of Euclid, Riemann and Gauss, Bolyai and Lobachevsky.

996.

The Pinwheel Galaxy

The Pinwheel Galaxy (Messier M101 or NGC 5457).
Why do many galaxies appear as spirals? A striking example is M101, whose relatively close distance of about 27 million light years allows it to be studied in some detail.

995.

Dali: Index

Salvador Dali Index.
Dali was a skilled draftsman, best known for the striking and bizarre images in his surrealist work.

994.

Dali: Swallow's Tail

The Swallow's Tail - Series on Catastrophes (1983) by Salvador Dali,
It was the last painting of Salvador Dali, done in May 1983. It is the final work in a series based on René Thom's catastrophe theory.

993.

Dali: Morphological Echo

Morphological Echo (1934-36) by Salvador Dali,
It depicts a seemingly minimal architectural setting with several surrealist images in its finer details.

992.

Dali: Hypercube

Crucifixion, Corpus Hypercubus (1954) by Salvador Dali,
It was painted in 1954 by Salvador Dali, and depicts the crucified Jesus upon the net of a hypercube.

991.

Dali: Ghost of Vermeer

The Ghost of Vermeer by Salvador Dali,
The title refers to the Dutch painter Johannes Vermeer and the image of Vermeer viewed from his back is a reference to Vermeer's painting The Art of Painting.

990.

Dali: Ascension

The Ascension of Christ by Salvador Dali,
Dali said that his inspiration for The Ascension of Christ came from a "cosmic dream" that he had in 1950, some eight years before the painting was completed. In the dream, which was in vivid color, he saw the nucleus of an atom, which we see in the background of the painting.

989.

Dali: Documentary

Salvador Dali Documentary: Genius or Madman?

988.

Dali Paintings

Salvador Dali: Pictures and Paintings.

987.

Salvador Dali Paintings

Tribute to Salvador Dali.

986.

Salvador Dali 50s

Salvador Dali on "What's My Line?"

985.

The Abel Prize: Gromov

Russian-French mathematician receives the Abel Prize.
The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2009 to the Russian-French mathematician Mikhail Leonidovich Gromov (65) for "his revolutionary contributions to geometry".

984.

Angles - Index

Angles.

983.

Piet Mondrian: Lozenge

Piet Mondrian, Lozenge Composition with Red, Black, Blue, and Yellow 1925,
Pioneer of Geometric abstraction.

982.

Quadrilateral, Squares

Proposed Problem 280.
Quadrilateral, Perpendiculars, Area of Squares.

981.

Tangent Circles

Proposed Problem 279.
Tangent Circles, Common External Tangent, Chords, Inradius.


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Last updated: July 2, 2009