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.


See also:
Complete Problem 295
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Soddy Circles and Descartes Theorem

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


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

Level: High School, SAT Prep, College geometry

Tessellations Index

Videos and Illustrations

Click the figure below to see the Tessellations Index.


See also:
Tessellation Transformation
Tessellations Index

Tessellation Transformation

Video
Under the Generalized Dual Method, an arrangement of lines leads to a zonogonal tessellation. What happens if most of the lines are fixed, but a subset moves? Source: Russell Towle.
Click the figure below to see the video.


See also:
Tessellation Transformation
Tessellations Index

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

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


See also:
Complete Problem 294
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Parallel Lines Index

Theorems and Problems

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


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

Level: High School, SAT Prep, College geometry

Guernica 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 Guernica by Pablo Picasso.



See also:
Guernica by Pablo Picasso
Pablo Picasso Index

Weeping Woman 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 Weeping Woman, 1937, by Pablo Picasso.



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Weeping Woman, 1937, by Pablo Picasso
Pablo Picasso Index

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.



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Sleeping Peasants, La Siesta, by Pablo Picasso.
Pablo Picasso Index

The Doves, 1957, 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 The Doves, 1957, by Pablo Picasso.



See also:
The Doves, 1957, by Pablo Picasso.
Pablo Picasso Index

Pablo Picasso Index

Golden Rectangles and Video
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 Pablo Picasso Index.



See also:
Pablo Picasso: 'The Mystery of Picasso'
Pablo Picasso Index

The Mystery of Picasso

Video
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 Pablo Picasso: "The Mystery of Picasso".



See also:
Pablo Picasso: 'The Mystery of Picasso'
Pablo Picasso Index

Pablo Picasso: "Portrait of an Artist"

Video
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 Pablo Picasso: "Portrait of an Artist".



See also:
Pablo Picasso: 'Portrait of an Artist'
Pablo Picasso Index

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.


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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.


See also:
Complete Problem 293
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 292: Triangle, Parallel, Congruence, Similarity

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


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.


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.


See also:
Complete Problem 291
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

TracenPoche Interactive Geometry Software Applications

Index

Click the figure below to see 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.


See also:
Dynamic Geometry Software
Geometry Index

Level: High School, SAT Prep, College geometry

Euclid's Elements Book X, Lemma for Proposition 33

Right triangle, Altitude, and Rectangles

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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.


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.


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

Level: High School, SAT Prep, College geometry

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

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


See also:
Complete Problem 290
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

The Fields Medal awards ceremony 2006 in Madrid

Video

The Fields Medal is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union, a meeting that takes place every four years.
The next prizes will be awarded during the opening ceremony of ICM 2010 in Hyderabad, India on August 19, 2010.
Click the figure below to see The Fields Medal awards ceremony 2006 in Madrid.


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The Fields Medal awards ceremony 2006 in Madrid.
Brain Index

Terence Tao, UCLA, Math Prodigy

Video

Terence Tao was a seven year-old high school student when he began taking calculus classes. By age 20 he had received a Ph.D. from Princeton and joined the UCLA faculty.
Click the figure below to see Terence Tao, UCLA, Math Prodigy.


See also:
Terence Tao, UCLA, Math Prodigy.
Brain Index

Connie Talbot, English Talent, Index

Index

Connie Talbot (born 20 November 2000) is an English child singer from Streetly, Metropolitan Borough of Walsall, West Midlands. She rose to fame in 2007 when she reached the final of the television talent show Britain's Got Talent.
Click the figure below to see the index.


See also:
Three Little Birds by Connie Talbot
Connie Talbot Index

Connie Talbot: Three Little Birds

Video

Connie Talbot (born 20 November 2000) is an English child singer from Streetly, Metropolitan Borough of Walsall, West Midlands. She rose to fame in 2007 when she reached the final of the television talent show Britain's Got Talent.
Click the figure below to see Three Little Birds by Connie Talbot.


See also:
Three Little Birds by Connie Talbot
Connie Talbot Index

Connie Talbot: Over the Rainbow

Video

Connie Talbot (born 20 November 2000) is an English child singer from Streetly, Metropolitan Borough of Walsall, West Midlands. She rose to fame in 2007 when she reached the final of the television talent show Britain's Got TalentClick the figure below to see Connie Talbot in ellen: Over the Rainbow.


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Connie Talbot in ellen: Over the Rainbow
Connie Talbot Index

Johannes Vermeer Soldier and a Laughing Girl

Golden Rectangle
Johannes Vermeer (1632 - 1675) was a Dutch Baroque painter who specialized in exquisite, domestic interior scenes of ordinary life.
Soldier and a Laughing Girl. c. 1658 Oil on canvas 49.2 x 44.4 cm The Frick Collection, New York.

Click the figure below to see the interactive illustration of Soldier and a Laughing Girl by Johannes Vermeer.



See also:
View of Houses in Delft by Johannes Vermeer
Golden Rectangles

Johannes Vermeer View of Houses in Delft

Golden Rectangle
Johannes Vermeer (1632 - 1675) was a Dutch Baroque painter who specialized in exquisite, domestic interior scenes of ordinary life.
View of Houses in Delft, known as "The Little Street". c. 1658; Oil on canvas, 54.3 x 44 cm; Rijksmuseum, Amsterdam.

Click the figure below to see the interactive illustration of View of Houses in Delft by Johannes Vermeer.



See also:
View of Houses in Delft by Johannes Vermeer
Golden Rectangles

Johannes Vermeer: Woman with a Balance

Golden Rectangle
Johannes Vermeer (1632 - 1675) was a Dutch Baroque painter who specialized in exquisite, domestic interior scenes of ordinary life.
Woman Holding a Balance c. 1664, Oil on canvas, 40.3 x 35.6 cm (15 7/8 x 14 in.) National Gallery of Art, Washington

Click the figure below to see the interactive illustration of Woman with a Balance by Johannes Vermeer.



See also:
Woman with a Balance by Johannes Vermeer
Golden Rectangles

Varignon and Wittenbauer parallelograms, Areas

Quadrilateral midpoints and trisection points of sides

Click the figure below to see 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.



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

Level: High School, SAT Prep, College geometry

City of Boca Raton, Interactive Mind Map

Interactive Mind Map

Click the figure below to see the interactive mind map of City of Boca Raton.


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City of Boca Raton, Interactive Mind Map
Boca Raton News Index

GMAT mba.com Mind Map

mba.com is the Official GMAT Web Site

Click the figure below to see the interactive mind map.


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GMAT mba.com Interactive Mind Map
GMAT Index
Mind Map Index

GMAT Guide Index

The Graduate Management Admission Test, Guide Index

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GMAT Guide Index
Mind Map Index

GMAC Interactive Mind Map

The Graduate Management Admission Council

Click the figure below to see the interactive mind map.



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GMAC Interactive Mind Map
GMAT Index
Mind Map Index

GMAT Interactive Mind Map

The Graduate Management Admission Test

Click the figure below to see the interactive mind map.



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GMAT Interactive Mind Map
GMAT Index
Mind Map Index

Problem 289: Tangent circles, Radius, Perpendicular, Tangent

Proposed Problem

Click the figure below to see the complete problem.



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



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

Level: High School, SAT Prep, College geometry

Google Products Index, Interactive Mind Map

Click the figure below to see the interactive mind map.



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Google Products Index, Interactive Mind Map
Software Index
Mind Map Index

Polygon Classification, Interactive Mind Map

Interactive Mind Map

Click the figure below to see the interactive mind map.



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Polygon Classification, Interactive Mind Map
Software Index
Mind Map Index

Video: Piet Mondrian, A Journey Through Modern Art

Video

Piet Mondrian, (March 7, 1872 - February 1, 1944) was a Dutch painter, pioneer of Geometric abstraction.
Click below to see the video.


Read more:
Piet Mondrian, A Journey Through Modern Art
Videos

Piet Mondrian, Art for Children

Video

Piet Mondrian, (March 7, 1872 - February 1, 1944) was a Dutch painter, pioneer of Geometric abstraction.
Click below to see the video.



Read more:
Piet Mondrian, Art for Children
Collection of Geometry Problems

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.



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Google for Educators Mind Map
Software Index
Mind Map Index

Self Portrait, 1907 by Pablo Picasso

Kaleidoscope
Throughout his long career Pablo Picasso often used self-portraits to depict himself in the many different guises, disguises and incarnations of his autobiographical artistic persona.
Click the figure below to see the kaleidoscope.


Continue reading at:
Self Portrait, 1907 by Pablo Picasso

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.



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.

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Sacred Geometry Interactive Mind Map
Sacred Geometry Index

Girl with a Pearl Earring by Johannes Vermeer

Golden Rectangle
The painting Girl with a Pearl Earring is one of Dutch painter Johannes Vermeer's masterworks and as the name implies, uses a pearl earring for a focal point. The painting is currently housed at The Mauritshuis in The Hague. It is sometimes referred to as "the Mona Lisa of the North" or "the Dutch Mona Lisa".

Click the figure below to see the interactive illustration of Girl with a Pearl Earring by Johannes Vermeer.



See also:
Girl with a Pearl Earring by Johannes Vermeer
Golden Rectangles