Thursday, December 30, 2010

Problem 561: Triangle, Cevian, Incenter, Perpendicular, 90 Degrees

Geometry Problem
Click the figure below to see the complete problem 561.

 Problem 561: Triangle, Cevian, Incenter, Perpendicular, 90 Degrees.
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Level: High School, SAT Prep, College geometry

Wednesday, December 29, 2010

Problem 560: Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent

Geometry Problem
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 Problem 560: Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent.
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Level: High School, SAT Prep, College geometry

Problem 559: Triangle, Cevian, Incenters, Angle, 90 Degrees

Geometry Problem
Click the figure below to see the complete problem 559.

 Problem 559: Triangle, Cevian, Incenters, Angle, 90 Degrees.
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Level: High School, SAT Prep, College geometry

Monday, December 27, 2010

Problem 558: Quadrilateral, Trisection, Sides, Wittenbauer Parallelogram, Area

Geometry Problem
Click the figure below to see the complete problem 558.

 Problem 558: Quadrilateral, Trisection, Sides, Wittenbauer Parallelogram, Area.
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Level: High School, SAT Prep, College geometry

Problem 557: Quadrilateral, Midpoints, Sides, Varignon Parallelogram, Area

Geometry Problem
Click the figure below to see the complete problem 557.

 Geometry Problem 557: Quadrilateral, Midpoints, Sides, Varignon Parallelogram, Area.
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Level: High School, SAT Prep, College geometry

Sunday, December 26, 2010

Problem 556 Quadrilateral, Diagonal, Angles, Auxiliary Lines.

Geometry Problem
Click the figure below to see the complete problem 556.

 Problem 556. Quadrilateral, Diagonal, Angles, Auxiliary Lines.
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Level: High School, SAT Prep, College geometry

Thursday, December 23, 2010

Problem 555: Parallel lines, Angles, Sum

Geometry Problem
Click the figure below to see the complete problem 555.

 Problem 555: Parallel lines, Angles, Sum.
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Level: High School, SAT Prep, College geometry

Problem 554: Concave Quadrilateral, Angles, Sum

Geometry Problem
Click the figure below to see the complete problem 554.

 Problem 554: Quadrilateral, Angles, Sum.
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Level: High School, SAT Prep, College geometry

Problem 553: Quadrilateral, Angles, Sum

Geometry Problem
Click the figure below to see the complete problem 553.

 Problem 553: Quadrilateral, Angles, Sum.
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Level: High School, SAT Prep, College geometry

Problem 552: Parallel lines, Transversal, Angles

Geometry Problem
Click the figure below to see the complete problem 552.

 Problem 552: Parallel lines, Transversal, Angles.
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Level: High School, SAT Prep, College geometry

Problem 551: Parallel lines, Transversal, Angles

Geometry Problem
Click the figure below to see the complete problem 551.

 Problem 551: Parallel lines, Transversal, Angles.
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Level: High School, SAT Prep, College geometry

Problem 550: Parallel lines, Transversal, Angles

Geometry Problem
Click the figure below to see the complete problem 550.

 Problem 550: Parallel lines, Transversal, Angles.
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Level: High School, SAT Prep, College geometry

Problem 549: Parallel lines, Transversal, Angles

Proposed Problem
Click the figure below to see the complete problem 549.

 Problem 549: Parallel lines, Transversal, Angles.
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Level: High School, SAT Prep, College geometry

Wednesday, December 22, 2010

Book: Computational Geometry, An Introduction by Franco P. Preparata, Michael Ian Shamos (1985)

Mind Map and News
This book was for many years the standard textbook in computational geometry.
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the interactive mind map.

Book: Computational Geometry, An Introduction by Franco P. Preparata, Michael Ian Shamos (1985), Interactive Mind Map and NewsGo to Computational Geometry, An Introduction by Preparata and Shamos (1985), Interactive Mind Map

Combinatorial Computational Geometry MindMap

Mind Map and News
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the interactive mind map.

Combinatorial Computational Geometry, Interactive Mind Map and NewsGo to the Combinatorial Computational Geometry Mind Map

Tuesday, December 21, 2010

Mathematics: Computational Geometry Index

Click the figure below to see the index.

Mathematics: Computational Geometry IndexZoom.

Computational Geometry, Interactive Mind Map and News

Mind Map and News
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the interactive mind map.

Computational Geometry, Interactive Mind Map and NewsGo to the Computational Geometry Mind Map

Saturday, December 18, 2010

Topology: Index

Click the figure below to see the index.

Topology IndexZoom.

Word Cloud of Topology

Weighted list in visual design.
Click the figure below to see the illustration.

Word Cloud of Topology, Software Generator. Zoom at: Word Cloud of Topology.

Friday, December 17, 2010

Google Books Ngram Viewer: Algebra, Arithmetic, Geometry, Topology

This is Google Trends for all published (and scanned) English books in the past 200 years (1800-2000) about the ngrams: Algebra, Arithmetic, Set theory, Calculus, Geometry, Topology, Combinatorics, Number theory and Differential equations.
Click the figure below to see the illustration.

Word Cloud Software Generator. Zoom at: Google Books Ngram Viewer: Math.

Word Cloud of Google Books Ngram Viewer

Weighted list in visual design.
Click the figure below to see the illustration.

Word Cloud Software Generator.
Zoom at: Word Cloud of Google Books Ngram Viewer.

Thursday, December 16, 2010

Problem 548: Triangle, Transversal, Complete Quadrilateral, Circumcircles, Circumcenters, Similarity, Concyclic Points

Geometry Problem
Click the figure below to see the complete problem 548 about Triangle, Transversal, Complete Quadrilateral, Circumcircles, Circumcenters, Similarity, Concyclic Points.

 Problem 548: Triangle, Transversal, Complete Quadrilateral, Circumcircles, Circumcenters, Similarity, Concyclic Points
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Level: High School, SAT Prep, College geometry

Monday, December 13, 2010

Nassos Daphnis: "17-74-75, 1974, 1975" and Golden Rectangles

Nassos Daphnis, a Greek-American artist who deployed brilliantly colored geometric forms in precise formal relationships to create nervous, dynamic paintings on a heroic scale, died on Nov. 23 in Provincetown, Mass.

Click the figure below to see the interactive illustration.

Nassos Daphnis:
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English ESL Conversations: Travel

Interactive Mind Map
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the English as a second language ESL/EFL Conversations: Travel, Interactive Mind Map.

 English as a second language ESL/EFL Conversations: Travel, Interactive Mind Map.
Go to the Interactive Mind Map

English ESL Conversations: Socializing

Interactive Mind Map
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the English as a second language ESL/EFL Conversations: Socializing, Interactive Mind Map.

 English as a second language ESL/EFL Conversations: Socializing, Interactive Mind Map.
Go to the Interactive Mind Map

English ESL Conversations: Small Talk

Interactive Mind Map
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the English as a second language ESL/EFL Conversations: Small Talk, Interactive Mind Map.

 English as a second language ESL/EFL Conversations: Small Talk, Interactive Mind Map.
Go to the Interactive Mind Map

English ESL Conversations: Shopping

Interactive Mind Map
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the English as a second language ESL/EFL Conversations: Shopping, Interactive Mind Map.

 English as a second language ESL/EFL Conversations: Shopping, Interactive Mind Map.
Go to the Interactive Mind Map

Sunday, December 12, 2010

English ESL Conversations: Selling a House

Interactive Mind Map
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the English as a second language ESL/EFL Conversations: Selling a House, Interactive Mind Map.

 English as a second language ESL/EFL Conversations: Selling a House, Interactive Mind Map.
Go to the Interactive Mind Map

English ESL Conversations: Renting an Apartment

Interactive Mind Map
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the English as a second language ESL/EFL Conversations: Renting an Apartment, Interactive Mind Map.

 English as a second language ESL/EFL Conversations: Renting an Apartment, Interactive Mind Map.
Go to the Interactive Mind Map

English ESL Conversations: In a New Neighborhood

Interactive Mind Map
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the English as a second language ESL/EFL Conversations: In a New Neighborhood, Interactive Mind Map.

 English as a second language ESL/EFL Conversations: Daily Life, Interactive Mind Map.
Go to the Interactive Mind Map

Saturday, December 11, 2010

Problem 547: Triangle, Transversal, Four Circumcircles, Concurrency

Geometry Problem
Click the figure below to see the complete problem 547 about Triangle, Transversal, Four Circumcircles, Concurrency.

 Problem 547: Triangle, Medians, Perpendicular, Measurement.
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Level: High School, SAT Prep, College geometry

Friday, December 10, 2010

Geometry Problems Gallery - Visual Index

Geometric Art
Click the figure below to see the visual index.

Geometry Problems  - Visual Index 1
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Tuesday, December 7, 2010

Geometry Problems 531 - 540 Sawayama - Thebault's theorem

Ten Geometry Problems
Click the figure below to see problems 531-540 about: Triangle, Circumcircle, Area, Angle Bisector, Midpoint, Parallel, Perimeter, Perpendicular, Euclid Elements, Square, Dissection, Sawayama - Thebault's theorem.

Geometry Problems 531 - 540Read more

Level: High School, College geometry

Geometry Problems 521 - 530

Ten Geometry Problems
Click the figure below to see problems 521-530 about: Circle, Tangent, Diameter, Congruence, Triangle, Squares, Altitude, Rectangle, Area, Collinear, Median, Trapezoid, Measurement, Radius, Equilateral, Circumcircle.

Geometry Problems 521 - 530Read more

Level: High School, College geometry

Geometry Problems 511 - 520

Ten Geometry Problems
Click the figure below to see problems 511-520 about: Triangle, Parallelogram, Double Angle, Angle Bisector, Measure, Square. Concurrency, Area, Cevian, Congruence, Right triangle, 45 Degrees, Perpendicular.

Geometry Problems 511 - 520Read more

Level: High School, College geometry

Geometry Problems 501 - 510

Ten Geometry Problems
Click the figure below to see problems 501-510 about: Triangle, Center, Midpoint, Square, Perpendicular, Equilateral, 60 Degrees, Angle, Segment, Congruence, Area, Mind Map.

Geometry Problems 501 - 510Read more

Level: High School, College geometry

Computer Software: Fortune 500 2010 by Industries, Interactive Mind Map

Click the figure below to see the interactive mind map.

Fortune 500 2010 by Industries, Computer Software, Interactive Mind MapZoom

Monday, December 6, 2010

Google Nexus S, Interactive Mind Map and News

Click the figure below to see the interactive mind map.

Google Nexus S, Tech Specs, Interactive Mind Map and NewsZoom

Geometry Problems 491 - 500

Ten Geometry Problems
Click the figure below to see problems 491-500 about: Square, Right Triangle, Incircle, Inscribed Circle, Radius, Cyclic quadrilateral, Diagonal, Parallel, Chord, 120 Degrees, Angle bisector, Concurrent, Perpendicular.

Geometry Problems 491 - 500Read more

Level: High School, College geometry

Geometry Problems 481 - 490

Ten Geometry Problems
Click the figure below to see problems 481-490 about: Square, Circle, Triangle, Altitude, Cevian, Perpendicular, Angle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic, 90 Degrees, Proportion, Measurement, Side.

Geometry Problems 481 - 490Read more

Level: High School, College geometry

Geometry Problems 471 - 480

Ten Geometry Problems
Click the figure below to see problems 471-480 about: Triangle, Parallel, Side, Concurrency, Area, Similarity, Parallelogram, Diagonal, Circle, Vertex, Tangent, Secant, circumcenter, quadrilateral, Proportion.

Geometry Problems 471 - 480Read more

Level: High School, College geometry

Geometry Problems 461 - 470

Ten Geometry Problems
Click the figure below to see problems 461-470 about: Circle, Tangent, Right Angle, Center, Distance, Isosceles, Transversal, Measurement, 90 Degrees, Arc, Square, Radius, Concentric, Congruence, Chord.

Geometry Problems 461 - 470Read more

Level: High School, College geometry

Geometry Problems 451 - 460

Ten Geometry Problems
Click the figure below to see problems 451-460 about: Triangle, Rhombus, Median, Congruence, Proportion, Circle, Tangent, Intersection, Circular segment, Area, Incircle, Inradius, 45 Degrees, Chord, Secant.

Geometry Problems 451 - 460Read more

Level: High School, College geometry

Geometry Problems 441 - 450

Ten Geometry Problems
Click the figure below to see problems 441-450 about: Quadrilateral, Triangle, Area, Sagitta, Proportion, Measurement, Similarity, Median, Cevian, Transversal, Congruence, Circle, Tangent, Intersection, Secant.

Geometry Problems 441 - 450Read more

Level: High School, College geometry

Geometry Problems 431 -440

Ten Geometry Problems
Click the figure below to see problems 431-440 about: Quadrilateral, Trapezoid, Midpoint, Diagonal, Transversal, Parallel, Measurement, Similarity, Proportion, Ratio, Congruence, Tangent, Isosceles.

Geometry Problems 431 -440Read more

Level: High School, College geometry

Geometry Problems 421 -430

Ten Geometry Problems
Click the figure below to see problems 421-430 about: Right Triangle, Regular Pentagon, Cevian, Angles, Measurement, 30 Degrees, Congruence, Circumcircle, Circumcenter, Altitude, Circumradius, Quadrant, Area.

Geometry Problems 421 -430Read more

Level: High School, College geometry

Geometry Problems 411-420

Ten Geometry Problems
Click the figure below to see problems 411-420 about: Triangle, Median, Angles, Cevian, Congruence, Cyclic quadrilateral, Orthocenter, Parallelogram, Concurrency, Altitude, Trisector, Area, Tangent, Circle.

Geometry Problems 411-420Read more

Level: High School, College geometry

Geometry Problems 401 - 410

Ten Geometry Problems
Click the figure below to see problems 401-410 about: Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence, Hexagon, Centroid, Similarity, Congruence, Equilateral, Concurrent.

Geometry Problems 401 - 410Read more

Level: High School, College geometry

Geometry Problems 391 - 400

Ten Geometry Problems
Click the figure below to see problems 391-400 about: Triangle, Parallelogram, Parallel lines, Collinear points, Concurrent, Orthocenter, Circumcircle, Congruence, Square, 15 Degree, Equilateral, Trisector.

Geometry Problems 391 - 400Read more

Level: High School, College geometry

Geometry Problems 381 - 390

Ten Geometry Problems
Click the figure below to see problems 381-390 about: Quadrilateral, Diagonals, Angle Bisectors, Semi-sum of Angles, Concave, Difference, Parallel, Perimeter, Perpendicular, Congruence, Cyclic, Harmonic Mean.

Geometry Problems 381 - 390Read more

Level: High School, College geometry