Machu Picchu, Geometry Theorems and Problems, Online Education

Pentagons, Theorems and Problems - Table of Content

Pentagon Index

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

Pentagon and Lissajous Art  

Pentagon Word Cloud

Word Cloud of Pentagon.
Visual Summary.

Isolines illustration: Pentagon

Geometric Art: Isolines, Pentagon, Star, Parallel Lines, Symmetry, Kaleidoscope, Geometry for Kids, Software

Euclid's Elements Book XIII, Proposition 10

Euclid's Elements, Book XIII, Proposition 10 Pentagon, Hexagon, and Decagon. One page visual illustration.

Archimedes Book of Lemmas Proposition 15

Proposition 15. Circle and regular pentagon.

iPad Apps: Springle by Bolasol Inc. Geometric Art: Squares and Pentagons

iPad Apps: Springle by Bolasol Inc. Geometric Art: Squares and Pentagons

Miquel's Pentagram Theorem

Miquel's Pentagram Theorem Interactive proof with animation and key theorems.
 

Miquel's Pentagram with Dynamic Geometry. You can alter the pentagram dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand. Requires Java Plug-in 1.3 or higher. Please be patient while the applet loads on your computer.

Pentagon and Lissajous Art  

iPad Apps: Solids Elementary HD, Regular Dodecahedron

iPad Apps: Shapes - 3D Geometry Learning (Solids Elementary HD), Regular Dodecahedron.

iPad Apps: Solids Elementary HD, Regular Dodecahedron

iPad Apps: Shapes - 3D Geometry Learning (Solids Elementary HD), Unfolded Regular Dodecahedron.

Optical Prism with Regular pentagon Form

Optical Prism with Regular Pentagonal Form.
Scene created using Prism HD for iPad.

Fractal Image with pentagons. iPad Apps: fractBG

iPad Apps: fractBG.
Fractal Image with Pentagons.

Geometry problem 1141

Geometry Problem 1141.
Inscribed Pentagon, Circle, Triangle, Congruence, Midpoint, Concurrency.

Parallelogram, Star, Pentagon, Area

Geometry Problem 771
Area of a Parallelogram, Star, Pentagon, Triangles.

Inscribed and Circumscribed regular Pentagon, Areas

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.

Regular pentagon

Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.

Regular pentagons, Angle

Proposed Problem 410.
Two Regular Pentagons, Angle.

Pentagon, Circle, Tangent,Semiperimeter

Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter.

Regular pentagon inscribed

Proposed Problem 261.
Regular Pentagon inscribed in a circle, sum of distances.

Solid Tessellations

Video: Visualization of Solid Tessellations.

Experiencing Geometry Poem. Taken from "Experiencing Geometry on Plane and Sphere," a classic textbook on Euclidean and non-Euclidean space. Used by permission of the author David W. Henderson.
Pentagons illustration.

Geometry Problem: Parallelogram, Triangles, Pentagon, Area

Proposed Problem 169. Parallelogram, Interior and Exterior Points, Diagonals, Pentagon, Triangles, Areas.  

Geometry Problem: Parallelogram, Triangles, Pentagon, Area

Proposed Problem 168. Parallelogram, Diagonal, Triangles, Pentagon, Areas.  

Viviani theorem extension, regular polygon

Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon, Apothem, Distance.  

Interactive Mind Map of the Van Hiele Model of Geometric Thought
Level 0. (Basic Level) Visualization.

Index, Platonic Solids, Interactive animation, Tetrahedron in the cube, Archimedes and the Rhombicuboctahedron with animation, In the News,

Pentagons & Pentagrams. I found, exploring with dynamic geometry software, new facts about pentagons and pentagrams. Key concept: Menelaus Theorem.

 


Home | SearchGeometry | Polygon | Post a comment | Email | By Antonio Gutierrez
Last updated: Aug 13, 2015