Above, left: Bird's-eye view of the Nazca lines, the Monkey (90 meters /
295 feet long). The Nazca Lines are gigantic geoglyphs located in Peru.
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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This site is best viewed
with Firefox or Internet Explorer and at a resolution
of 1024 x 768 or higher.
Requires:
Flash
Player,
Java
JRE 1.3 or higher
and JavaScript. |
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Recent Additions (Page 5 of
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480. |
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Tessellations Index.
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479. |
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Proposed Problem
68: Triangle, Incircle, Inradius, Tangent, Similarity.
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478. |
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Crop Circles
and Complexity
Crop Circles
and Sacred Geometry
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477. |
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Proposed Problem 67: Triangle, Circumcircle, Angles, Cyclic
Quadrilateral. |
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476. |
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Van Aubel's Theorem II: Triangle and Cevians. |
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475. |
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Proposed Problem 66: Triangle, Excircle, Tangents, Geometric Mean.
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474. |
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It’s All About Geometry: Protein Contact Surfaces Hold Key to Cures
Supercomputer Powers Tool to Reveal Hidden Interactions, University of
California, San Diego. |
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473. |
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Proposed Problem 65: Right Triangle, Mindpoints.
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472. |
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Feuerbach Points and Nine-Point Circle with interactive
animation, manipulation, and step-by-step construction.
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471. |
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Proposed Problem 64: Triangle, Incircle, Transversal.
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470. |
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Proposed Problem 63: Heptagon
Regular, Side and Diagonals. |
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469. |
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Proposed Problem 62: Square
Diagonal, Inscribed Circle. |
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468. |
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Lost Pyramids of Caral 1,
2,
3,
4,
5,
6,
7
Caral: the Mother of All Civilizations? 2,627 BC.
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467. |
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Machu Picchu and Yale University
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466. |
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Machu Picchu and Sierpinski Triangle.
Equilateral
Machu Picchu and Sierpinski Tunel Effect.
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465. |
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Proposed Problem 61: Triangle, Trisection of Sides |
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464. |
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Taylor Circle Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation. |
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463. |
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Proposed Problem 60: Isosceles triangle |
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462. |
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Peruvian Cuisine: Inca Heritage |
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461. |
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Incenter, Excenter, Incircle, Excircle Using TracenPoche Dynamic
Software
Step-by-Step construction, Manipulation, and animation. |
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460. |
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Four Circles Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulate, and animation. |
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459. |
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The Incas Civilization History 1,
2,
3,
4.
The Incas and Francisco Pizarro
The
Gold of the Incas and the Conquistador 1,
2.
The conquest of the Incas 1,
2,
3
La Conquista de los Incas 1,
2,
3,
4,
5 |
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458. |
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Three Tangent Circles Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulate, and animation. |
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457. |
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"Geometry is king," said Tom Stites, Nike Golf's Director of Product
Creation for Clubs. "The principle of geometry provides our research and
development team with unlimited possibilities and inspiration, and the
new SUMO² Fairway Wood is a derivative of that." |
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456. |
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Three Circles Theorem Using TracenPoche Dynamic Software
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455. |
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Proposed Problem 59: Right and Equilateral Triangles, Midpoints.
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454. |
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Isogonic-Jacobi Theorem: Using
TracenPoche Dynamic Geometry Software.
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453. |
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Marion Walter's Theorem: Triangle and Hexagon areas: Using
TracenPoche Dynamic Geometry Software. |
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452. |
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Orthopole of a Triangle: Using
TracenPoche Dynamic Geometry Software
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451. |
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Sangaku Geometry Theorem: Cyclic Quadrilateral.
Inradii, Rectangle.
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450. |
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Sangaku Problem (An Old Japanese Theorem).
Inradii, Carnot's theorem.
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449. |
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Sangaku Geometry Theorem: Three circles and a tangent line.
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448. |
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Arbelos, Inscribed Circle and Concyclic Points
Cyclic Quadrilateral
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447. |
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Yma Sumac
an amazing four-octave range.
The Castafiore Inca,
Gopher Mambo,
Machu Picchu, the Secret of the Incas,
Tumpa, the Secret of the Incas,
Chuncho, the Forest Creatures,
Malambo #1,
La Pampa y la Puna.
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446. |
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Mind Map of the Inca Empire.
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445. |
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The Incas Index.
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444. |
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Proposed Problem 58: Right Triangle, Congruence, Perpendiculars.
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443. |
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Computer Graphics Animation: The Optiverse and other sphere eversion.
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442. |
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Blind Date: Math Pi and e.
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441. |
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Math for Children: The Triangle by James Blunt.
A parody of his popular song You're Beautiful.
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440. |
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Tom Lehrer: Lobachevsky, humorous song.
Lehrer, satirist mathematician and Lobachevsky, founder of non-Euclidean
geometry.
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439. |
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Bathsheba Grossman & Geometry. Geometry Art, 3-D, Symmetry and
Balance.
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438. |
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Transforming Teaching Through Technology. Pay Attention
How we can become a better teacher through technology
Teaching Teaching and Understanding Understanding
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437. |
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Pavel Finolov and Geometry Anti-Cubism or Analytical Realism.
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436. |
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Mind Map of Theorems.
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435. |
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Euclid's Elements, Book XIII, Proposition 10. One page visual
illustration.
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434. |
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Math in the News.
Algebra,
Analysis,
AP Calculus,
AP Statistics,
Applied Mathematics... |
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434. |
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Information Technology: 8 Ways to Boost Your Career in 2008.
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434. |
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Caral: the Mother of All Civilizations? 2,627 BC.
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433. |
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Video: Moebius Transformation Revealed. Translation, dilation,
rotation, and inversions to a higher dimension.
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432. |
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Nine-Point Center, Nine-Point Circle, Euler Line. Interactive
illustration.
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431. |
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Pythagorean Theorem, 47th Proposition of Euclid's Book I, Video.
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430. |
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Euclid's Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index |
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429. |
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Sacred Geometry
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428. |
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Stewart Theorem. Theorem Triangle and a cevian.
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427. |
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Geometry of Circles. "Sesame Street" by Philip Glass, 1979..
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426. |
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Animation Art and Geometry.
"Mona Lisa Descending a Staircase".
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425. |
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The School of Athens
Perspective: the Central Vanishing Point.
Video.
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424. |
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Interactive Hinged tessellation. Square tessellation - Dynamic Geometry.
Please be patient while the applet loads on your computer. This Java
applet requires Java 1.3 or higher. |
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423. |
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Inca Stone of Twelve Angles, Cuzco.
Tunnel effect.
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422. |
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Casey's Theorem. Generalized Ptolemy's Theorem. |
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421. |
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Fractal Geometry Videos: 1,
2,
3,
4,
5
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