Geometry Step by Step from the Land of the Incas

by Antonio Gutierrez

The Landscape of Why Study Geometry is a random landscape of terms about the importance of geometry.

First, geometry is important to a wide range of scientific and technological fields.

Second, geometry sharpens thinking skills by teaching the process of logical reasoning and deductive thinking. Every career uses the logical reasoning learned in geometry.

Third, artists made creative use of geometry throughout the centuries. Enjoy the geometry of Man-Made Wonders of the World: Pyramids of Egypt, Machu Picchu, Great Wall of China, Taj Mahal, Bali, Angkor Wat, Forbidden City, Bagan Temples & Pagodas, Karnak Temple, Teotihuacan, Nazca Lines and more.

This word storming is a mental exercise for producing ideas by right brain thinking (random, visual, subjective, emotional, holistic, intuitive, creative, divergent).


The Landscape of Terms. Brainstorm ideas with sound and animation.

Landscape of Why Study Geometry?

Landscape of Geometry terms:

Landscape of Academic Disciplines:

Landscape of Books of All Time:

Landscape of Scientific Instruments:

Landscape of Inca Empire terms:

Landscape of Syllogism terms:

Landscape of Think Out of the Box terms:

Landscape of Hurricane Katrina terms:

Geometry Step by Step From the Land of the Incas - Antonio Gutierrez

Geometry from the Land of the Incas. Problems, theorems, proofs, quizzes, with animations and sounds. Euclidean Geometry.
Miquel's Pentagram - Antonio Gutierrez
Miquel's Pentagram Theorem - Dynamic Geometry. Antonio Gutierrez
Monge & d'Alembert Theorem I- Dynamic Geometry. Antonio Gutierrez
Building a geometric kite - Computers - Internet Lesson Plan, Thematic Unit, Activity, Worksheet, or Teaching Idea
Pentagons & Pentagrams Theorem - Pentagons inscribed, Menelaus. Antonio Gutierrez
The Sierpinski Triange & Machu Picchu - Antonio Gutierrez
Clifford's circle chain theorems - Antonio Gutierrez
Triangle Nagel Point Proof with animation and sound. Antonio Gutierrez
Nagel Point, Flowchart Proof - Antonio Gutierrez. Flow chart
Puzzle - Nagel Point. Antonio Gutierrez
Triangle Semiperimeter and excircles Theorem. Antonio Gutierrez
Triangle Semiperimeter and incircle Theorem. Antonio Gutierrez
Triangle Semiperimeter, excircles, and incircle Theorem. Antonio Gutierrez
Geometry Quotes Quiz. Antonio Gutierrez
The Quipu (Quipus) Incan Data Structure. 5000 years old Caral
Archimedes Book of Lemmas Introduction. 1 - 15 Propositions on Circles
Humans Hard-wired into Brain for Geometry, Amazon River, Brazil, Peru
Nazca Lines. Pre-Inca, Cuzco Peru. Mystery on the desert
Star Wars and Geometric Art is an illustration ofthe films Star Wars.
Geometry Wars and Geometric Art
The Lord of the Rings and Geometric Art
The Chronicles of Narnia and Geometric Art
Triangle Centers

Triangle and Squares Theorems College Geometry, SAT Prep, Degree online
Equilic Quadrilateral Theorems College Geometry, SAT Prep
Machu Picchu Map, photos. Travel Information about the Inca Citadel of MACHUPICCHU
Inca Trail to Machu Picchu
The Landscape of Terms
Theorems and problems about circles
Newton's Theorem: Newton's Line

Baby Got Math: Seven-month-olds Show An Abstract Numerical Sense Before They Can Even Talk

Heron's Formula

Heron's Formula. Key facts: preliminary propositions

Heron's Formula. Step by Step Proof

Japanese Find New Nazca Lines In Peru

Sacsayhuaman Fortress. Panorama View

The Porsche 911 and Geometric Art with New Variable Turbine Geometry (VTG)

Proposed problem 19. Right Triangle and Excenter

Proposed problem 20. Right Triangle, incircles and inradii

Proposed problem 21. Acute triangle, orthocenter, diameter, tangents

Proposed Problem 22. Right Triangle, altitudes, incircles and inradii

Proposed Problem 23. Right Triangle, altitude, incircles and inradii

Proposed Problem 24. Right Triangle, altitude, incircles and inradii

Proposed Problem 25. Right Triangle, altitude, incircles and inradius

Steiner Point

Mittenpunkt or Middlespoint

Inca Trail to Machu Picchu: Huinay Hayna

Angkor Wat and Geometric Art

The Landscape of the Da Vinci Code

Symmedian (Lemoine) Point

Cuzco, Chinchero Panorama View

Vatican City and Geometric Art

Giza Pyramids and Geometric Art

Platonic Solids

Apollonius' Tangency Problem for Three Circles

Pascal's Mystic Hexagram Theorem Proof

Nazca Lines: the Hummingbird: size comparison with the Empire State Building

MindMap of Euclid's Elements

Proposed Problem 26

Proposed Problem 27

Proposed Problem 28

Geometry Of Blood Vessels May Influence Heart Disease

Duke Engineers Probing Contortions of the Heart's Blood Vessels

Quadrilaterals

Triangles and Lissajous Art

MindMap of Euclid's Elements

Proposed Problem 29. Right Triangle, altitude, incircle and inradius. Ten conclusions

Problem 29: Geometry Help

Heron's Formula with medians

Mind Map of Geometry in Action

Geometry in Action: Artery Geometry

Pentagon and Lissajous Art

The Van Hiele Model of Geometric Thought.

Ptolemy's Theorem

Navier-Stokes Equation, Millennium Prize $1 million

Ptolemy's Extension Cyclic Quadrilateral: Ratio of the Diagonals

Proposed Problem 30. Right Triangle, Incircle, Inradius

Proposed Problem 31. Right Triangle, Incircle, Collinears

Proposed Problem 32. Triangle, Cevian, Incircles, Tangents

Faces on Mars and Earth

Animated Angle to Geometry Study: Triangle Center, First Ajima-Malfatti Point

Proposed Problem 36. Right Triangle, altitude, incircles and inradii

Triangle and Squares Theorem 19

Mind Map of the Space Science

Incenters and Inradii in Cyclic Quadrilateral

Animated Angle to Geometry Study: Lemoine Theorem

Mind Map of Mathematical Models

Fermat's Last Theorem

Triangle and Squares Theorem 18

Triangle and Squares Theorem 17

Triangle and Squares Theorem 16

Geometry in Action: Tissue Geometry Plays Crucial Role in Breast Cell Invasion

Animated Angle to Geometry Study: Blanchet Theorem

Math History: Euclid returns to math lessons

Geometric Art: Machu Picchu and the 21 finalist for the New Seven Wonders of the World

Machu Picchu, interactive panorama view from San Miguel Mountain

Sawayama - Thebault's theorem Triangle, Cevian, Incircles, Circumcircle, Collinearity. Illustration at

Geometric Art: Pre-Inca Paracas Culture Fabrics. Interactive illustration

Mushroom and Geometric Art

Proposed Problem 34. Right triangle, cevian, incircles, tangents and inradius

Proposed Problem 33. Triangle and quadrilateral

Geometry in Action: Nike Golf's Geometry

Engineer leaves career to teach geometry

Second Ajima-Malfatti Point

Proposed Problem 37. Right Triangle, altitude, incircles, incenters, and orthocenter;

Animated Angle to Geometry Study: Lemoine Theorem. The Incas and Pottery. The Incas carried to a remarkable extreme the manufacture of graceful, symmetrical pottery

Proposed Problem 38. Right Triangle, altitude, incircles, incenters, and angles

Proposed Problem 39. Triangle, Incircle, Bisector, Cyclic Quadrilateral and angles

Proposed Problem 39 Geometry Help

Nine-Point Center, Nine-Point Circle, Euler Line. Step by Step Interactive illustration with 22 steps

Journal Science selects top 10 scientific breakthroughs of 2006

Problem 40 Angles, Triangle, Incenter, Excenter, Bisector, Cyclic Quadrilateral. College, SAT Prep

Geometry Help Problem 40, Angle, Circle, Incenter, Excenter, Cyclic Quadrilateral, Similarity. College, SAT Prep

Geometry Help Problem 40, Angle, Circle, Incenter, Excenter, Cyclic Quadrilateral, Similarity. College, SAT Prep

Sangaku (Old Japanese Problem). "Mickey Mouse."

Proposed Problem 40. Triangle, Incenter, Excenter, Angles 80, 40, Distances.

Proposed Problem 40 Geometry Help. Facts you should know for the proposed problem 40

Colca Canyon and Pre-Inca Terraces. Can you find parallel lines? It is one of the deepest canyons in the world at 10,725 ft (3,269 meters),

The Geometry of Musical Chords

Mind map of the Geometry Junkyard educational website

Mind map of the Geometry Math.com website

Mind map of the Geometry Center website

Mindmap of the MathLeague Press Geometry Help Topics

The School of Athens Perspective: the Central Vanishing Point

Geometry in Action: Branching into geometry. Espaliered fruit trees can take many forms

The Foundations of Geometry by David Hilbert Interactive Mind Map

Machu Picchu: Top Ten Feats of Man-Made Wonder, Picked by Structural Engineers

Mind Map of Good to Great: Why Some Companies Make the Leap...and Others Don't

Mercedes Benz and Geometric Art

Ranking of the New 7 Wonders finalists as of Jan 31, 2007

Miquel's Pentagram with Dynamic Geometry

Animated Angle to Geometry Study: Adams' Circle Theorem

Monge & d'Alembert Three Circles Theorem II with Dynamic Geometry



Tell Mr. Gutierrez what you think. Send feedback, comments, and suggestions to:
agutie@viabcp.com


Geometry Step by Step from the Land of the Incas (Inca), Dynamic Intro. Antonio Gutierrez

Geometry Step by Step from the Land of the Incas (Inca), Dynamic Intro. Antonio Gutierrez