Welcome to Geometry from the Land of the Incas

Geometry, Machu Picchu

Triangle and Squares Theorems

 

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

 

Avatar, Neytiri and Golden Rectangle

Avatar, Neytiri, princess of the Omaticaya, and Golden Rectangle.

 

a

Euclid's Elements Book I, Proposition 4: (Side-Angle-Side SAS)

 

Euclid's Elements Book I, Proposition 3

Euclid's Elements Book I, Proposition 3: Given two unequal straight lines, to cut off from the greater a straight line equal to the less

 

Euclid's Elements Book I, Proposition 2

Euclid's Elements Book I, Proposition 2: To place at a given point (as an extremity) a straight line equal to a given straight line

 

Euclid's Elements Book I, Proposition 1

Euclid's Elements Book I, Proposition 1: On a given finite line to construct an equilateral triangle.

 

Triangle, Angle, Congruence

Proposed Problem 422.
Triangle, 24, 30 degree, Angle, Congruence.

 

Terex Mining in New Castle

Terex Mining Equipment in Newcastle - England.
Video and News.

 

Right triangle, Angles, Measurement

Proposed Problem 421.
Right Triangle, Cevian, Angles, Measurement.

 

Terex Mining Index

Terex Mining - Index
Drilling, digging, hauling and processing. Terex matches the world’s largest hydraulic mining shovels with rugged haul trucks, advanced drilling machines and a complete line of materials processing equipment.

 

Terex RH400 Mining Excavator

Terex RH120 - RH400: Hydraulic Mining Excavator.
Video and News.

 

Meet the Mathematicians UK

Meet the Mathematicians 2009. Venue: University of Nottingham, School of Mathematics
The MtM event is organised as part of the British Applied Mathematics Colloquium (BAMC) the largest and most prestigious general meeting of academic researchers in applied mathematics in the UK.

 

Paul Halmos : I Want to Be a Mathematician

I Want to Be a Mathematician: A conversation with Paul Halmos - trailer
Video and News.

 

Oscar nomination: The Milk of Sorrow

Peru's 'The Milk of Sorrow' nominated for Oscar, Foreign Language Film
Golden Rectangle and News.

 

Triangle, Angle, Altitude, Side, Measurement

Proposed Problem 420.
Triangle, Altitude, Angles, Sides, Measurement.

 

The Milk of Sorrow, Magaly Solier, soundtrack

The Milk of Sorrow (La teta asustada) soundtrack.
Video and News.

 

The Milk of Sorrow Index

'The Milk of Sorrow', 'La Teta Asustada' Index
Golden Rectangle and News.

 

Triangle, Incircle, Excircle, Inradius, Exradius

Proposed Problem 419.
Triangle, Cevian, Incircle, Excircle, Inradius, Exradius

 

The Milk of Sorriw, Film trailer

The Milk of Sorrow (La teta asustada) Film trailer.
Video and News.

 

Mind Map of Callaway Products

Mind Map of Callaway Golf Products

 

Mine Haul Truck Index

Mine Haul Truck - Index.

 

Golf Instruction Search Mind Map

Golf Instruction Mind Map

 

Leviathan Frontispiece

Frontispiece of Hobbes's Leviathan, Interactive illustration.

 

Triangle, Incircle, Inradius, Tangent

Proposed Problem 418.
Triangle, Incircle, Inradius, Equal Tangent circles, Radius.

 

Golf Instruction Search Mind Map

Golf Instruction Mind Map

 

Golf Clubs Search Mind Map

Golf Clubs Search Mind Map

 

Golf Search Mind Map

Golf Search Mind Map

 

Triumphal March from Aida, Giuseppe Verdi

Giuseppe Verdi: Triumphal March from "Aida"
Video and News.

 

Giuseppe Verdi: "La donna e mobile" from Rigoletto

Giuseppe Verdi: "La donna e mobile" from "Rigoletto"
Video and News.

 

Hull Rust Mine - Index

Hull-Rust-Mahoning Mine Index.
The largest open pit iron mine in the world.

 

Hull Rust Mine

Hull-Rust-Mine: Bucyrus shovel loading Haulpak.
Video, News, and Interactive Satellite map.
The largest open pit iron mine in the world.

 

Giuseppe Verdi, "Va, pensiero" from Nabucco, Video and News

Giuseppe Verdi: "Va, pensiero" from "Nabucco"
Video and News.

 

Word Cloud Geometry with hyperlinks

Geometry Word Cloud with Hyperlinks.

 

Caterpillar Mining Education 'Ground Rules' Index

Caterpillar Mining Education: "Ground Rules: Mining Right for a Sustainable Future",
"Ground Rules: Mining Right for a Sustainable Future" follows the development of new and operating mines as geologists, engineers and mine managers tackle complex problems and draw on the experiences and achievements of other mine sites to illustrate creative and core concepts of sustainable development and social responsibility. Presented by Caterpillar Inc.

 

Caterpillar and Mining Index

Caterpillar and Mining Index

 

Surfing: Tube Ride 5

Surfing: Tube Ride 6 and Golden Rectangles.

 

Surfing: Tube Ride 5

Surfing: Tube Ride 5 and Golden Rectangles.

 

Caterpillar truck 777F, Training

Caterpillar Haul Truck Training. Video and News

 

Surfing: Tube Ride 4

Surfing: Tube Ride 4 and Golden Rectangles.

 

Related Geometry topics

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.

 

Geometry Jobs

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

 

Giuseppe Verdi, Index

Giuseppe Verdi: Index

 

Caterpillar Technology Services: Mind Map

Interactive Mind Map based on Caterpillar Technology Services.

 

Tangent circles, Angles

Proposed Problem 417.
Tangent circles, Tangent lines, Angles.

 

Routh's Theorem 1

Routh's Theorem 1.
Triangle, Cevians, Ratio of Areas.

 

Routh's theorem: Triangle, Cevians, Area Ratio

Routh's Theorem 2.
Triangle, Cevians, Ratio of Areas.

 

ROuth's Theorem 3: Triangle, Cevians, Ratio Area

Routh's Theorem 3.
Triangle, Cevians, Ratio of Areas.

 

Routh's theorem 4: Triangle, Cevians, Area

Routh's Theorem 4.
Triangle, Cevians, Ratio of Areas.

 

Caterpillar Products, Interactive Mind Map

Interactive Mind Map based on Caterpillar Products.

 

Career Profile: Competency Using Information

Career Profile: Scans Competency Using Information,
Video.

 

Surfing: Tube Ride

Surfing: Tube Ride.

 

Career Profile: Ability Memory

Career Profile: Ability Memory,
Video.

 

Surfing Tube Index

Surfing: Tube Wave,
Index.

 

Routh's theorem index

Routh's Theorem - Index
Triangle, Cevians, Area, Ratio.
 

 

Area of a triangle, Cevian, Trisector

Proposed Problem 416.
Triangle, Cevians, Trisectors, Area.

 

Mirny Mine, Russia

The Mirny Open Pit Diamond Mine. Video and Map.
It is 525 meters (1,720 ft) deep and is the second largest excavated hole in the world, after Bingham Canyon Mine.

 

Mining Accident: Crash

Mining Accidents: Crash.
Video and News.

 

Right triangle, Cevian, Angle, Congruence

Proposed Problem 415.
Right Triangle, Cevian, Angles, Congruence.

 

Triangle, Angle, Median, Altitude, Congruence

Proposed Problem 414.
Triangle, Angles, Altitude, Median, Congruence.

 

Cyclic quadrilateral, Orthocenter, Parallelogram, Congruence

Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency, Congruence.

 

Udachnaya Pipe, Diamond Mine

The Udachnaya (Udachny) Pipe Diamond Mine. Video and Map.
One of the deepest diamond mines in the world.

 

Orapa Diamond Mine and Caterpillar Haul Truck

Orapa Diamond Mine and Caterpillar Haul Trucks. Video and Map.
The Orapa diamond mine is the world's largest diamond mine.

 

Triangle, Angles, Congruence

Proposed Problem 412.
Triangle, Angles, Congruence.

 

Orapa Diamond Mine and Komatsu Haul Truck

Orapa Diamond Mine and Komatsu Haul Trucks. Video and Map.
The Orapa diamond mine is the world's largest diamond mine.

 

Damaris, Vida, Andean Music

Damaris Mallma - Index.
Andean Music.

 

Todos Vuelven by Cesar Miro, Index

Peruvian Music: Todos Vuelven - Index.

 

Triangle, Median, Angles

Proposed Problem 411.
Triangle, Median, Angles.

 

Area of a square

Area of a Square Index.

 

Mining Matters, CMA

Mining Matters in your Everyday Life. Video.
The Colorado Mining Association.

 

Automated Haul Truck Wash

Automated Haul Truck Wash. Video and News.
by InterClean Equipment.

 

Caterpillar Haul Truck training simulator

Training Simulator for a Caterpillar Mining Haul Truck. Video.
by Immersive Technologies.

 

Mining Information System Caterpillar MineStar

Orchestrating a Mine: Caterpillar MineStar. Video.
MineStar is an integrated mining information system that helps lower costs, improve efficiency, and increase productivity in all types of mining applications.

 

Terex MT6300 Mining Haul Truck

Terex MT6300 Mining Haul Truck. Video and News.

 

Haul Truck: Alderox ASA-12 Mining release

Haul Truck: Alderox ASA-12 Mining release. Video and News.
Alderox ASA-12 Mining release agent product being applied to haul truck with automated spray system at a gold mine in the western United States.

 

Valicha, huayno Index

Valicha Index
Huayno from Cuzco

 

 

Kosnita theorem

Puzzle based on the Kosnita's Theorem
Kosnita's Theorem.
Circumcenters, Concurrent lines.

 

The Geometry of Life 1

The Geometry of Life:
Part 1: Brief introduction to, and history of, sacred geometry.
Part 2: The square root of three in geometric form.
Part 3: The square root of three in molecular structure.
Part 4: Close Packing and Conclusions.

 

Math History, Development of numbers

History of Mathematics: the Development of Numbers
How did mathematics begin? Animated movie on the development of numbers.

 

Euclid's Elements 23 definitions

Puzzle: Euclid's Elements Book I, 23 Definitions.
22 Piece Polygons.

 

Regular pentagons, Angle

Proposed Problem 410.
Two Regular Pentagons, Angle.
Puzzle: 22 piece polygons.

 

Valicha playing with Charango and Zampona

Valicha (Huayno) by Carlos Carmelo
Video
Playing Charango and Zampona

 

Machu Picchu, Music: Valicha

Machu Picchu. Music: Valicha by Los Incas de Peru
Video.

 

Triangle, 120 degrees, angle bisectors

Puzzle based on the problem 368.
Triangle, 120 degrees, Angle bisectors, Perpendicular.
.

 

Inca Skull Surgery

Puzzle: Inca Skull Surgery. 22 Piece Polygons.
Inca Skull Surgeons Were "Highly Skilled," Study Finds.
Trepanation = square hole in the skull.

 

Quadrilateral, Angles, Diagonals, Perpendicular

Proposed Problem 409.
Quadrilateral, Diagonals, Perpendicular, Congruence.

 

Taj Mahal Geometry Shapes

Puzzle: Taj Mahal & Geometry Shapes.

 

Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence

Proposed Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence.

 

Hull Rust Mahoning Mine

Hull-Rust-Mahoning Open Pit Iron Mine.
Video and Interactive Satellite map.
The largest open pit iron mine in the world
.

 

Hull Rust Mine

Hull Rust Mine, Hibbing Taconite.
Video and Interactive Satellite map.
The largest open pit iron mine in the world
.

 

Angle, Circle, Radius, Tangent, Secant, Perpendicular

Proposed Problem 407.
Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.

 

Valicha in Quechua, Video

Valicha (Huayno) in Quechua
Video by William Luna and the Symphony Orchestra of Peru.

 

Valicha, Lyrics in Quechua

Valicha (Huayno) Lyrics in Quechua

 

Valicha in Quechua and Spanish

Valicha (Huayno) in Quechua and Spanish
Video by William Luna.

 

Right triangle, 15 degrees

Proposed Problem 406.
Right triangle, 15 degrees, Midpoints, Congruence.

 

Piet Mondrian

Puzzle: Composition II in Red, Blue, and Yellow by Piet Mondrian pioneer of Geometric abstraction.

 

No. 5, 1948 and Golden Rectangle

Puzzle: No. 5, 1948, Jackson Pollock.
List of most expensive paintings: $140 million. .

 

Puzzle: If - Rudyard Kipling' Poem. 6 piece classic.

 

Quadrilateral, 60, 75, 135 degrees

Proposed Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint.

 

Berkeley Pit, Entrance

Berkeley Pit: Environmental geology of Butte, Montana.
Video and Interactive Satellite map.
A report on the environmental geology of Butte, Montana with a focus on the Berkeley Pit.

 

Lavender Pit, copper mine

Lavender Pit.
A former open-pit copper mine, Bisbee, Cochise County, Arizona.

 

Toquepala Mine Index

Toquepala Index.

 

Toquepala, Villa Staff and Plaza

Toquepala Villa Staff and Plaza.
Video and Interactive Satellite Map.

 

Tagebau Garzweiler coal mine

Tagebau Garzweiler coal mine, Open Pit Mining Operation.
Video and Interactive Satellite map.
The bucket-wheel excavators used there are the largest vehicles in the world.

 

Saturn and Geometry Index

Saturn and Geometry Index.

 

Concurrent lines, Index

Concurrent lines.
Theorems and Problems Index.

 

Puno Querido by William Luna

Puno Querido by William Luna.
Video and Puno interactive map.

 

Valicha by Wayanay Inka

Valicha (Huayno) by Wayanay Inka
Video

 

 

Valicha by Ritmos del Peru

Valicha (Huayno) by Ritmos del Peru
Video

 

 

Valicha Huayno and Choquequirao, Cuzco

Valicha (Huayno)
Video

 

 

Komatse 930e, Extreme Haul Truck

Haul trucks: Extreme Machines - Mega Trucks, Komatsu 930E - Video.
They are used strictly off-road for mining and heavy dirt hauling jobs.

 

Technology in geometry class

Adding technology to geometry class improves opportunities to learn.
A new study co-written by a University of Illinois expert in math education.

 

Jenn 3D Software mindmap

Jenn 3D, free software tool for visualizing Coxeter polytopes.
Interactive mind map.

 

Earth, Saturn, System of Rings

How would the Earth look like if it had a ring system like Saturn?
3ds Max animation.

 

Komatse 930e, Extreme Haul Truck

Haul trucks: Extreme Machines - Mega Trucks, Komatsu 930E - Video.
They are used strictly off-road for mining and heavy dirt hauling jobs.

 

Technology in geometry class

Adding technology to geometry class improves opportunities to learn.
A new study co-written by a University of Illinois expert in math education.

 

Toquepala Komatus 930E

Toquepala, Open Pit Mining Operation, Komatsu 930E.
Video.

 

Equilateral triangles

Proposed Problem 404.
External Equilateral triangles, Congruent and Concurrent Lines.

 

Circular Sector Index

Circular Sector. Index.
Theorems and Problems. 

 

Trapezoid median, Theorems and Problems, Index

Median of a Trapezoid, Theorems and Problems. Index.

 

Da Vincy Polyhedra Index

Da Vinci Polyhedra and Jenn 3D tool.
Index

 

Circular Sector 90 degrees

Proposed Problem 403.
Circular sector, 90 degrees, Circle, Semicircle, Area.

 

Hexagon, Centroids

Proposed Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity.

 

Inka Exhibition: Korea

"The Great Myth and Mystery of Peruvian Civilization" at the National Museum of Korea.
Dec 11, 2009 - March 28, 2010.

 

Da Vinci Tetrahedron Jenn 3D Coxeter polytopes

Da Vinci Tetrahedron and Jenn 3D tool for visualizing Coxeter polytopes.
Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

 

Da Vinci Cube, Jenn3D Coxeter polytopes

Da Vinci Cube and Jenn 3D tool for visualizing Coxeter polytopes.
Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

 

Da Vinci Octahedron, Jenn3D

Da Vinci Octahedron and Jenn 3D tool for visualizing Coxeter polytopes.
Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

 

Da Vinci Icosahedron, Jenn3D

Da Vinci Icosahedron and Jenn 3D tool for visualizing Coxeter polytopes.
Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

 

Da Vinci Dodecahedron, Jenn3D

Da Vinci Dodecahedron and Jenn 3D tool for visualizing Coxeter polytopes.
Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

 

Area of a triangle, Circumcircle, Angle Bisector

Proposed Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.

 

Triangle, Angle Bisector, Circumcircle

Proposed Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence.

 

Inca exhibition in Brescia, Italy

Inca in Brescia: Live the Legend - Origin and Mysteries of the Golden Civilization”,.
Dec 4, 2009 - Jun 27, 2010.

 

 Saturn's Hexagon, Jet Stream

Spring Reveals Saturn's Hexagon Jet Stream, NASA's Cassini mission.
The Persistent Hexagon.

 

Saturn hexagon Cassini Mission

The Mystery Hexagon on SATURN - Video. The Persistent Hexagon.

 

Math Music: Shepard Tone

Math Music: A Shepard Tone.
It is a sound consisting of a superposition of sine waves separated by octaves

 

Mining, Power shovel, haul truck

A Power shovel Terex O&K RH200 Loading Haul Trucks - Video.
A Power shovel  is a bucket equipped machine, usually electrically powered, used for digging and loading earth or fragmented rock, and mineral extraction.

 

Math Music: Beethoven Sonata, spectrogram

Spectrogram of Beethoven Sonata passage.
"Music: Broken Symmetry, Geometry, and Complexity", by Gary W. Don, Karyn K. Muir, Gordon B. Volk, and James S. Walker

 

Math Louis Armstrong, Spectogram

Spectrogram of Louis Armstrong Trumpet playing in recording of La Vie en Rose.
"Music: Broken Symmetry, Geometry, and Complexity", by Gary W. Don, Karyn K. Muir, Gordon B. Volk, and James S. Walker

 

Fractal Music Spectrum

Spectrogram of an example of fractal geometry music.
"Music: Broken Symmetry, Geometry, and Complexity", by Gary W. Don, Karyn K. Muir, Gordon B. Volk, and James S. Walker

 

Terex O&K RH 200 Power Shovel

Terex O&K RH 200 Hydraulic Mining Excavator - Video.

 

Point, Theorems and Problems, Index

Points, Theorems and Problems - Index.

 

Quechua: Inca tongue

Andean nations seek revival for ancient Inca tongue.
Argentina, Bolivia, Chile, Colombia, Ecuador, Peru.

 

RIght triangle, Midpoints, Distance

Proposed Problem 399.
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence.

 

Wassily Kandinsky, “Several Circles,” 1926

Several Circles (1926) by Wassily Kandinsky and the Golden Rectangle.

 

Parallelogram, Area

Proposed Problem 398.
Parallelogram, Area, Similarity, Congruence.

 

Yma Sumac Index

Yma Sumac Index,
'Peruvian songbird', 'Nightingale of the Andes', 'The Castafiori Inca'
Inca Music: noted Peruvian soprano.

 

 

Triangle, Altitude

Proposed Problem 397.
Triangle, Altitude, Midpoints, Congruence.

 

The Lost Symbol, Dan Brown

The Lost Symbol by Dan Brown, Word Cloud. Mind map of characters, Interactive Washington D.C. map, Videos.

 

Square, Angle trisectors

Proposed Problem 396.
Square, Angle Trisectors, Congruence, Area.

 

Related Geometry topics

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.

 

Square, 15 degree

Proposed Problem 395.
Square, 15 Degree, Equilateral triangle.

 

Geometry Jobs

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

 

Cerro Verde Copper Mine

Maps and News: Cerro Verde Mine.
Explore Cerro Verde, Arequipa, Tacna, Peru through detailed satellite imagery.

 

Kosnita theorem

Kosnita's Theorem.
Circumcenters, Concurrent lines.

 

Pierina Gold Mine

Maps and News: Pierina Mine.
Explore Pierina Mine, Ancash, Peru through detailed satellite imagery.

 

Square, Circle

Proposed Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence.

 

Yanacocha Gold Mine

Maps and News: Yanacocha Mine.
Explore
the geometry of Yanacocha, Cajamarca, Cuzco, Peru through detailed Google satellite imagery.

 

Antamina Mine

Maps and News: Antamina Mine.
Explore the geometry of Antamina, San Marcos, Huari, Ancash, Peru through detailed satellite imagery.

 

SAT: how important is geometry

How Important is Geometry on the SAT?
Video.

 

Toquepala Mine

Maps and News: Toquepala Mine.
Explore Toquepala, Ilabaya, Tacna, Peru through detailed satellite imagery.

 

Caterpillar, Open Pit Mining Operation

Caterpillar 797F, Open Pit Mining Operation. Video.

 

Triangle, Orthocenter

Proposed Problem 393.
Triangle, Orthocenter, Circumcircles, Congruence, Collinear.

 

Bingham Canyon Mine

Bingham Canyon Mine. Video
World's Largest Mine - Bingham Canyon Open Pit Copper Mine.

 

Triangle, Parallel, Concurrent lines

Proposed Problem 392.
Triangle, Parallel lines, Concurrent lines.

 

Bingham Canyon Mine, Super open pit

Maps and News: Bingham Canyon Mine.
Explore the geometry of the Bingham Canyon Mine, Utah through detailed Google satellite imagery.

 

Triangle, Parallel, Collinear points

Proposed Problem 391.
Triangle, Parallel lines, Collinear points.

 

Super pit gold mine

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

The Fimiston Super Pit gold mine. Video.
Australia's largest open cut gold mine.

 

Median of a triangle, Index

Median Index.
Theorems and Problems.

 

Killke Pottery

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.

 

 

Inti Raymi, Cuzco

The Inti Raymi
Video.

 

 

Triangle, Parallel, Collinear points

Proposed Problem 390.
Triangle, Parallel lines, Collinear points.

 

Khalil Gibran (1883 – 1931)

Video: Khalil Gibran, a Restrospective

 

Triangle, Parallel, Harmonic Mean

Proposed Problem 389.
Triangle, Parallel lines, Harmonic Mean.

 

Brandon Jennings

Brandon Jennings Mind Map.
Jennings' 55 Points Sets NBA Record. November 14, 2009.

 

Triangle, Angle bisector, Perpendicular, Parallel

Proposed Problem 388.
Triangle, Angle bisector, Perpendicular, Parallel.

 

Triangle, Angle Bisector, Perpendicular, Concyclic points

Proposed Problem 387.
Triangle, Angle bisector, Perpendicular, Concyclic points.

 

Kseniya Simonova - Sand Animation - Ukraine's Got Talent 2009 Winner

Kseniya Simonova - Sand Animation.
2009 Winner of Ukraine's Got Talent Video
.

 

Triangle, Angle bisectors

Proposed Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter, Congruence.

 

Khalil or Kahlil Gibran Index

Kahlil Gibran Index.

 

Triangle, Angle bisectors

Proposed Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.

 

Triangle, Angle bisectors

Proposed Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.

 

Khalil or Kahlil Gibran 16 mm Film

Khalil Gibran: 16 mm Film
Video.

 

Philosophy of Mind

Philosophy of Mind, Interactive Mind Map.

 

Concave Quadrilateral, Angle bisectors

Proposed Problem 383.
Concave Quadrilateral, Angle Bisectors, Semi-difference of Angles.

 

Chord Index

Chord. Index.
A chord of a circle is the line segment joining two points on the circle. 

 

US Capitol Rotunda

The United States Capitol rotunda.

 

Mathematics Selections

Mathematics Selections.

 

Euclidean Geometry Selections

Euclidean Geometry Selections
Random articles.

 

Geometry, random articles

Geometry - Math Selections
Random articles

 

Algebraic Geometry

Algebraic Geometry Selections

 

Projective Geometry

Projective Geometry Selections

 

Western Art

Western Artists: 500 Years of Women in Art.

 

Surfing: Geometry of tube shape

Surfing: Geometry of tube shape.

 

Western Artists

Western Artists: 500 Years of Male Self Portraits.

 

Eugene Delacroix

Eugene Delacroix (1798 -1863).

 

Library of Essential Reading Mind Map

Library of Essential Reading.
Mind Map.

 

Van GOgh "Self Portraits"

Vincent van Gogh:"Self Portraits".
Video.

 

 Bali, Jimbaran

Jimbaran, Bali, Acintya.

 

Pigeons Rock, Beirut

Pigeons Rock, Raouche, Beirut.

 

Pigeons Rock, Beirut

Pigeons Rock, Raouche, Beirut.

 

Pigeons Rock, Beirut

Pigeons Rock, Raouche, Beirut.

 

The Quipu, Inca Empire Index

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

 

 

Quipu Illustrations by Guaman Poma

The Quipus: Illustrations from 1615 by Felipe Guaman Poma de Ayala

 

 

Royal Commentaries of the Incas

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

 

Royal Commentaries, Word Cloud

The Royal Commentaries of the Incas.
Word Cloud, Common terms and phrases.

 

Quadrilateral, Angle Bisectors

Proposed Problem 382.
Concave Quadrilateral, Angle Bisectors, Angles.

 

Quadrilateral, Angle Bisectors

Proposed Problem 381.
Quadrilateral, Diagonals, Angle Bisectors, Angles.

 

Pre Inca Ceramics

Pre-Inca, Ceramics of Ancient Peru.
Mind Map.


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