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).

Landscape of Why Study Geometry?

Landscape of Academic Disciplines:

Landscape of Books of All Time:

Landscape of Scientific Instruments:

Landscape of Inca Empire terms:

Landscape of Think Out of the Box terms:

Landscape of Hurricane Katrina terms:

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 of the 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. 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

Inca Trail to Machu Picchu: Huinay Hayna

The Landscape of the Da Vinci Code

Cuzco, Chinchero Panorama View

Vatican City and Geometric Art

Giza Pyramids and Geometric Art

Apollonius' Tangency Problem for Three Circles

Pascal's Mystic Hexagram Theorem Proof

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

Geometry Of Blood Vessels May Influence Heart Disease

Duke Engineers Probing Contortions of the Heart's Blood Vessels

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

Mind Map of Geometry in Action

Geometry in Action: Artery Geometry

The Van Hiele Model of Geometric Thought.

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

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

Incenters and Inradii in Cyclic Quadrilateral

Animated Angle to Geometry Study: Lemoine Theorem

Mind Map of Mathematical Models

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

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

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

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

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

Journal Science selects top 10 scientific breakthroughs of 2006

Problem 40 Angles, Triangle, Incenter, Excenter, Bisector, Cyclic Quadrilateral. 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

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:Â 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