Sunday, May 31, 2009

Problem 295: Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular

Proposed Problem
Click the figure below to see the complete problem 295 about Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular, Diameter.

 Problem 295: Archimedean Twin Circles.
See also:
Complete Problem 295
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Saturday, May 30, 2009

Soddy Circles and Descartes Theorem

Three Tangent Circles. Inscribed and Circumscribed Circles, Radii.
Click the figure below to see the complete illustration.

 Soddy Circles and Descartes Theorem.
See also:
Complete Soddy Circles and Descartes Theorem
Collection of Geometry Problems
Circle, Theorems and Problems

Level: High School, SAT Prep, College geometry

Thursday, May 28, 2009

Problem 294: Right triangle, Circumcenter, Excenter, Hypotenuse, Perpendicular

Proposed Problem
Click the figure below to see the complete problem 294.

 Problem 294: Right triangle, Circumcenter, Excenter, Hypotenuse.
See also:
Complete Problem 294
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Wednesday, May 27, 2009

Parallel Lines Index

Theorems and Problems

Click the figure below to see Parallel lines: Theorems and Problems Index.

 Parallel lines: Theorems and Problems Index.
See also:
Parallel lines, Theorems and Problems Index
Geometry Index

Level: High School, SAT Prep, College geometry

Tuesday, May 26, 2009

Sleeping Peasants by Pablo Picasso

Golden Rectangles
Pablo Picasso (1881 - 1973) was a Spanish painter, draughtsman, and sculptor. As one of the most recognized figures in 20th-century art, he is best known for co-founding the Cubist movement and for the wide variety of styles embodied in his work.

Click the figure below to see Sleeping Peasants, La Siesta, by Pablo Picasso.


 Sleeping Peasants, La Siesta, by Pablo Picasso.
See also:
Sleeping Peasants, La Siesta, by Pablo Picasso.
Pablo Picasso Index

Monday, May 25, 2009

NCTM Principles and Standards for School of Mathematics

Interactive Mind Map

Click the figure below to see the mind map based on the NCTM Principles and Standards for School of Mathematics.

 NCTM Principles and Standards for School of Mathematics, Interactive Mind Map.
Read more:
NCTM Principles and Standards for School of Mathematics Mind Map
GMAT Index
Mind Map Index

Problem 293: Inscribed Quadrilateral, Perpendicular, Rectangle, Isosceles Right triangle, Area, Similarity.

Proposed Problem
Click the figure below to see the complete problem 293.

 Problem 293: Inscribed Quadrilateral, Perpendicular, Rectangle, Isosceles Right triangle, Area, Similarity.
See also:
Complete Problem 293
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Saturday, May 23, 2009

Problem 292: Triangle, Parallel, Congruence, Similarity

Proposed Problem
Click the figure below to see the complete problem 292.

 Problem 292: Triangle, Parallel, Congruence, Similarity.
See also:
Complete Problem 292
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Centroid or Barycenter of a triangle, Theorems and Problems

Theorems and Problems Index
Click the figure below to see the complete Centroid or Barycenter Index.

 Centroid or Barycenter Index.
See also:
Centroid or Barycenter Index
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 291: Triangle, Circle, Radius, Perpendicular

Proposed Problem
Click the figure below to see the complete problem 291.

 Problem 291: Triangle, Circle, Radius, Perpendicular.
See also:
Complete Problem 291
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Friday, May 22, 2009

TracenPoche Interactive Geometry Software Applications

Index

Click the figure below to see TracenPoche Interactive Geometry Software Applications.

 TracenPoche Interactive Geometry Software Applications.
See also:
TracenPoche Interactive Geometry Software Applications
Geometry Index

Level: High School, SAT Prep, College geometry

Dynamic Geometry Software

Index

Click the figure below to see Dynamic Geometry Software Applications.

 Dynamic Geometry Software.
See also:
Dynamic Geometry Software
Geometry Index

Level: High School, SAT Prep, College geometry

Wednesday, May 20, 2009

Euclid's Elements Book X, Lemma for Proposition 33

Right triangle, Altitude, and Rectangles

Click the figure below to see Euclid's Elements Book X, Lemma for Proposition 33.

 Euclid's Elements Book X, Lemma for Proposition 33.
See also:
Euclid's Elements Book X, Lemma for Proposition 33.
Euclid's Elements Index.
Geometry Index

Level: High School, SAT Prep, College geometry

Euclid's Elements

Index

Click the figure below to see Euclid's Elements Index.

 Euclid's Elements.
See also:
Euclid's Elements Index.
Geometry Index

Level: High School, SAT Prep, College geometry

Rectangle: Theorems and Problems

Index

Click the figure below to see Rectangle: Theorems and Problems Index.

 Rectangles: Theorems and Problems Index.
See also:
Rectangle, Theorems and Problems Index.
Geometry Index

Level: High School, SAT Prep, College geometry

Monday, May 18, 2009

Problem 290: Internally Tangent circles, Radius, Perpendicular, Tangent

Proposed Problem
Click the figure below to see the complete problem 290.

 Problem 290: Internally Tangent circles, Radius, Perpendicular, Tangent.
See also:
Complete Problem 290
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Saturday, May 16, 2009

Varignon and Wittenbauer parallelograms, Areas

Quadrilateral midpoints and trisection points of sides

Click the figure below to see Varignon and Wittenbauer parallelograms.

 Varignon and Wittenbauer parallelograms
See also:
Varignon and Wittenbauer parallelograms
Geometry Index

Level: High School, SAT Prep, College geometry

Area of a triangle, Theorems and Problems

Index

Click the figure below to see the index of area of a triangle.

 Area of a triangle.

See also:
Area of a triangle, Index
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Wednesday, May 13, 2009

GMAT Guide Index

The Graduate Management Admission Test, Guide Index

Click the figure below to see the index.

 GMAT The Graduate Management Admission Test (GMAT), Index.

Read more:
GMAT Guide Index
Mind Map Index

Saturday, May 9, 2009

Problem 289: Tangent circles, Radius, Perpendicular, Tangent

Proposed Problem

Click the figure below to see the complete problem.

 Problem 289: Tangent circles, Radius, Perpendicular, Tangent.

See also:
Problem 289: Tangent circles, Radius, Perpendicular, Tangent
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 288: Tangent circles, Harmonic Mean, Radius, Diameter

Proposed Problem

 Problem 288: Tangent circles, Harmonic Mean, Radius, Diameter.

See also:
Complete Problem 288: Tangent circles, Harmonic Mean, Radius, Diameter
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Friday, May 8, 2009

Google Products Index, Interactive Mind Map



Click the figure below to see the interactive mind map.

 Google Products Index, Interactive Mind Map.

Read more:
Google Products Index, Interactive Mind Map
Software Index
Mind Map Index

Thursday, May 7, 2009

Polygon Classification, Interactive Mind Map

Interactive Mind Map

Click the figure below to see the interactive mind map.

 Polygon Classification, Interactive Mind Map.

Read more:
Polygon Classification, Interactive Mind Map
Software Index
Mind Map Index

Wednesday, May 6, 2009

Google for Educators Mind Map

Interactive Mind Map
Google for Educator offer free online Google products like Google Search, Docs, Blogger, Calendar, Group, Earth, SketchUp, Maps, and more. For example Google Docs allows teachers and students to create documents, spreadsheets and presentations for free, so having to install Microsoft Word, Excel or Powerpoint on every classroom computer is no longer an issue.

Click the figure below to see the interactive mind map.

 Google for Educators  Interactive Mind Map.

Read more:
Google for Educators Mind Map
Software Index
Mind Map Index

Sunday, May 3, 2009

Google SketchUp Mind Map

Interactive Mind Map
Google SketchUp is a 3D modeling program designed for architects, civil engineers, filmmakers, game developers, and related professions. It also includes features to facilitate the placement of models in Google Earth. It was designed to be easier to use than other 3D CAD programs.

Click the figure below to see the interactive mind map.

 Google SketchUp Interactive Mind Map.

Read more:
Google SketchUp Mind Map
Software Index
Mind Map Index

Sacred Geometry

Interactive Mind Map
Sacred geometry is geometry used in the design of sacred architecture and sacred art. The basic belief is that geometry and mathematical ratios, harmonics and proportion are also found in music, light, cosmology.

Click the figure below to see the interactive mind map.

 Sacred Geometry Interactive Mind Map.

Read more:
Sacred Geometry Interactive Mind Map
Sacred Geometry Index

Saturday, May 2, 2009

Snowflakes: Hexagonal Symmetry

Golden Rectangle
Snowflakes are snow crystals form when tiny supercooled cloud droplets (about 10 μm in diameter) freeze. The individual ice crystals often have hexagonal symmetry. Although the ice is clear, scattering of light by the crystal facets and hollows/imperfections mean that the crystals often appear white in colour due to diffuse reflection of all spectrum of light by the small ice particles.

Click the figure below to see the interactive illustration of the Snowflakes: Hexagonal Symmetry.


Snowflakes: Hexagonal Symmetry.
See also:
Snowflakes: Hexagonal Symmetry
Golden Rectangles

Friday, May 1, 2009

Polygons Index

Theorems and Problems about Polygons

 Polygon Index.

Read more: Polygons Index, Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 287: Regular Octagon, Diagonals

Proposed Problem

 Problem 287: Regular Octagon, Diagonals.

See also:
Complete Problem 287: Regular Octagon, Diagonals
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry