Welcome to Geometry from the Land of the Incas (Page 2 of 14)

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

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 2 of 14)

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680.

Circumscribed Quadrilateral

Proposed Problem 152. Circumscribed Quadrilateral, Diagonal, Chord, Proportion.

679.

Machu Picchu and Los Jaivas

Alturas de Machu Picchu by Los Jaivas.

678.

Cuzco and Machu Picchu

Cuzco and Machu Picchu Condor's Eye View.

677.

Machu Picchu Mind Map

Machu Picchu Interactive Mind Map.

676.

Machu Picchu Golden Rectangle

Machu Picchu and Golden Rectangle.

675.

Chichen Itza

Chichen Itza and Golden Rectangle.

674.

Petra, Jordan

Petra and Golden Rectangle.

673.

Christ the Redeemer

Christ the Redeemer and Golden Rectangle.

672.

Colosseum

Colosseum and Golden Rectangle.

671.

Elearning 151

Proposed Problem 151. Quadrilateral, Area, Trisection of Sides.

670.

Elearning 150

Proposed Problem 150. Quadrilateral, Area, Trisection of Sides.

669.

Elearning 149

Proposed Problem 149. Quadrilateral, Area, Midpoints.

668.

Geometry of Seeing

The Geometry of Seeing. Perspective and Dawn of Virtual Space. Getty Research Institute.

667.

Adean Music

Kalicanto: Andean Music
Lamento de Zamponas,
Extranandote,
Hasta que muera el dia,
Doce de la noche

667.

Elearning 148

Proposed Problem 148. Quadrilateral, Area, Midpoints.

666.

Elearning 147

Proposed Problem 147. Quadrilateral, Area, Midpoints, Triangle.

665.

Elearning 146

Proposed Problem 146. Varignon's Theorem: Quadrilateral, Midpoints, Parallelogram, Area, Perimeter.

664.

Mindmap: Web Content Management

Mind Mapping for Effective Content Management by Dr Stephen Evans and the Revd Gareth J M Saunders from the University of St Andrews, UK.

663.

Elearning 145

Proposed Problem 145. Four Triangles, Incircle, Tangent and Parallel to Side, Incenters, Circumcenters.

662.

Elearning 144

Proposed Problem 144. Four Triangles, Incircle, Tangent and Parallel to Side, Inradii.

661.

Elearning 143

Proposed Problem 143. Four Triangles, Incircle, Tangent and Parallel to Side, Circumradii.

660.

Elearning 142

Proposed Problem 142. Four Triangles, Incircle, Tangent and Parallel to Side, Areas.

659.

Elearning 141

Proposed Problem 141. Triangle, Incircle, Tangent , Parallel, Perimeters.

658.

Elearning 140 Triangle area

Proposed Problem 140. Triangle, Excircle, Tangent, Semiperimeter.

657.

Inca Music: Condor Pasa

El Condor Pasa, Mind map.

656.

Problem 139 Triangle area

Proposed Problem 139. Triangle Area, Orthic Triangle, Semiperimeter, Circumradius.

655.

Nagel theorem

Proposed Problem 138. Nagel's Theorem, Orthic Triangle, Altitudes, Circumradius, Perpendicular.

654.

Puzzles Mind Map

Go Geometry Puzzles Mind Map.

653.

Elearning 137

Proposed Problem 137. Orthic Triangle, Altitudes, Perpendicular, Incircle, Collinear Points, Parallelogram.

652.

Elearning 136

Proposed Problem 136. Orthic Triangle, Altitudes, Perpendicular, Concyclic Points.

651.

Elearning 135

Proposed Problem 135. Orthic Triangle, Altitudes, Perpendicular, Parallel.

650.

Elearning 134

Proposed Problem 134. Orthic Triangle, Altitudes, Angle Bisectors, Orthocenter, Incenter.

649.

Pappus Theorem

Pappus Theorem. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.

648.

Pre-Incan Tomb Ocupe, Moche

Pre-Incan tomb 1700 years old found in Peru, July 2008.
A Canadian-led team of archaeologists has unearthed the 1,700 year-old tomb of a leader of the pre-Columbian Moche culture in northern Peru, the scientists said.

647.

Gergonne Line

Interactive Gergonne Line and Nobbs Points. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.

646.

Simson Line

Interactive Simson Line. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.

645.

Triangle, Median, Circumcenter

Triangle, Medians, Six Circumcenters Concyclic. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.

644.

Trapezoid

Trapezoid, Triangle, Diagonals, Midpoints. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.

643.

Congruence

Congruence. Index..

642.

Similarity

Similarity, Ratios, Proportions. Index.

641.

Areas

Areas Index.

640.

Beautiful Earth

Beautiful Earth. 128 beautiful pictures of our world.

639.

Landscape Brainstorming

Interactive Mind Map of Landscape of Terms, Brainstorming

638.

Van Gogh Mind Map

Interactive Van Gogh Mind Map .

637.

Cube Metamorphosis

The Metamorphosis of the Cube Foldings and Unfolding between Polygons and Polytopes.

636.

Truncated Octahedron

The Truncated Octahedron Transformation

635.

Dynamic Geometry Triangle

Dynamic Geometry.
Triangle: Incircle, Perpendicular, Angle Bisector. Prove proposition

634.

Problem 133

Proposed Problem 133.
Triangle, Angle Bisectors, Collinear Points.

633.

Problem 132

Proposed Problem 132.
Triangle, 60 degree, Orthocenter, Congruence, Midpoint.

632.

Inca Trail to Machu Picchu

Survivor: the Inca Trail to Machu Picchu by Doug Johnson
A slideshow based on the author's hike of the Inca Trail.
Machu Picchu Slideshow..

631.

Math in the News

Math in the News Mind Map.

630.

Elearning 131 Van Aubel

Proposed Problem 131. Van Aubel Theorem, Concurrent Cevians, Sum of Ratios.

629.

Elearning 130 Triangle

Proposed Problem 130. Triangle, Concurrent Cevians, Sum of Ratios.

628.

Elearning 129 Cevians Ratio

Proposed Problem 129. Triangle, Concurrent Cevians, Sum of Ratios.

627.

Elearning 128 Incenter

Proposed Problem 128. Incenter of a Triangle, Angle Bisectors, Sum of Ratios.

626.

Paul Arden

Itīs Not How Good You Are, Itīs How Good You want To Be by Paul Arden. Book Brief.

625.

M.C. Escher

M.C. Escher Mind Map

624.

M.C. Escher Circuit Limit

M.C. Escher, Impossible Images. Slideshow.
Vincent van Gogh. Slideshow

623.

Reuleaux rotor

Geometry in Action. Reuleaux's rotor: How Round is your Circle?

622.

Euclid Elements

Euclid's Elements Book VI, Proposition 3: Angle Bisector Theorem .

621.

Elearning 127 Proportions

Proposed Problem 127. Centroid and Incenter of a Triangle, Parallel, Proportions.

620.

Elearning 126

Proposed Problem 126. Incenter of Triangle, Angle Bisector, Proportions.

619.

BMW Gina

BMW GINA (Geometry and functions In 'N' Adaptations).
BMW Innovates with GINA Light Visionary Model based on Geometry and functions in 'N' Adaptations.

618.

Pythagoras

The significance of the Pythagorean theorem  by Jacob Bronowski.
Pythagorean Theorem, 47th Proposition of Euclid's Book I. 

617.

Thinking about thinking

Geometry: Thinking about Thinking. 
Pythagoras, Euclid, Euclidean geometry, inductive reasoning, deductive reasoning.

616.

Visual Mind Map

Interactive Visual Mind Map of Go Geometry .

615.

Elearning 125

Proposed Problem 125. Area of Triangle, Star, Trisection of Sides.

614.

Elearning 124

Proposed Problem 124. Area of triangle, Similarity, Trisection of Sides.

613.

Elearning 123

Proposed Problem 123. Area of triangle, Similarity, Trisection of Sides.

612.

Marion Walter Theorem

Proposed Problem 122. Marion Walter's Theorem. Area of triangle and Hexagon, Trisection of Sides.


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Last updated: October 2, 2008