Chronology of Updates
Note
I have placed chronology of updates for 1996 , 1997 , 1998 , 1999 , 2000 , 2001 , 2002 , 2003 and 2004 into separate files. Starting with 1997, the most recent entries appear topmost. Besides providing an insight of this site's evolution, chronology updates may be used for word searches.
December 31, 2005
Pascal in a Cyclic Quadrilateral
December 30, 2005
Orthologic Triangles in a Quadrilateral
December 29, 2005
All Triangles Are Isosceles
December 28, 2005
Pedal Triangle and Isogonal Conjugacy
December 26, 2005
Complex Numbers: A Dynamic Tool
December 25, 2005
Carpets in a Parallelogram
December 24, 2005
Two Rectangles in a Rectangle
December 24, 2005
More Bottles in a Wine Rack
December 23, 2005
A Property of Rhombi
December 23, 2005
Circle-Stacking Theorem
December 22, 2005
Gergonne and Medial Triangles Are Orthologic
December 21, 2005
Cartesian Coordinate System
December 18, 2005
Common Tangents to Two Circles II
December 17, 2005
Bottles in a Wine Rack
December 16, 2005
Isosceles on the Sides of a Triangle
December 15, 2005
Self-descriptive Strings
December 14, 2005
3-Term Arithmetic Progression
December 12, 2005
Variations on the Theme of Tremas II
December 10, 2005
Listing All Permutations: Johnson-Trotter Method
December 9, 2005
Dominoes on a Chessboard
December 7, 2005
Party Acquaintances
December 5, 2005
Common Tangents to Two Circles I
November 27, 2005
Straight Tromino on a Chessboard
November 22, 2005
Eight Digits Puzzle
November 20, 2005
Square From Nowhere
November 18, 2005
Parallel Chords
November 17, 2005
Variations on the Theme of Tremas
November 15, 2005
Counting Triangles II
November 14, 2005
Carpet With a Hole
November 13, 2005
Carpets Theorem With Parallelograms
November 12, 2005
Six Incircles in an Equilateral Triangle
November 11, 2005
Equidecomposition of Two Rectangles
November 10, 2005
Perigal's Proof of the Pythagorean Proposition
November 4, 2005
Equidecomposition of Two Parallelograms
November 3, 2005
100 Prisoners and a Light Bulb by Stuart Anderson
November 3, 2005
The Carpets Theorem
November 2, 2005
Wallace-Bolyai-Gerwien Theorem
November 1, 2005
Equidecomposition of a Rectangle and a Square
October 31, 2005
Equidecomposition of a Triangle and a Rectangle
October 31, 2005
The Chaos Game: Address Space vs IFS
October 30, 2005
Sierpinski Gasket By Common Trema Removal
October 29, 2005
Inequality (1 + 1-3 )(1 + 2-3 )(1 + 3-3 )...(1 + n-3 ) < 3
October 28, 2005
A Property of Equiangular Polygons
October 27, 2005
Sierpinski Gasket Via Chaos Game
October 15, 2005
Who Needs Monty?
October 10, 2005
Upgraded the Y Can't End in a Draw page
October 5, 2005
The Lepidoptera of the Quadrilateral
October 4, 2005
Y Can't End in a Draw
September 28, 2005
Haruki's Theorem
September 27, 2005
Fixed Point of Circles Orthogonal to the Given One
September 26, 2005
Mirror property of the altitudes
September 25, 2005
Hiroshi Haruki's Lemma
September 22, 2005
The Two Men of Tibet
September 19, 2005
Mathematicians Doze Off
September 19, 2005
The Affirmative Action Problem
September 18, 2005
A Circle With Two Centers
September 16, 2005
Two Perpendiculars From a Point to a Line
September 16, 2005
Desargues in the Bride's Chair (with Pythagoras)
September 15, 2005
Dividing a Segment by Paper Folding
September 15, 2005
Integers and Rectangles: Two Simple Proofs
September 14, 2005
Three Tangents, Three Secants
September 13, 2005
Area of Median Triangle
September 12, 2005
Solitaire in Two Colors
September 10, 2005
Loop or Halt
September 9, 2005
A Maimed Cake
September 8, 2005
Euclid I.43
September 7, 2005
Fractions on a Binary Tree II
September 4, 2005
Archimedes' Quadruplets
August 17, 2005
The Symmedians
August 15, 2005
Bisectal Circle
August 11, 2005
Three Tangent Circles
August 10, 2005
Ceva and Menelaus Meet on the Roads
August 9, 2005
Fermat's Point
August 3, 2005
Malfatti's Problem, Hart's Solution
July 29, 2005
Properties of the Circle of Similitude
July 27, 2005
Circle of Similitude
July 26, 2005
Malfatti's Problem
July 25, 2005
Internal Tangents to Three Circles
July 24, 2005
Inscriptible and Exscriptible Quadrilaterals
July 22, 2005
Four Pegs That Form a Square
July 20, 2005
A solution to the four travelers problem
July 16, 2005
Two Colors in Two Rows II
July 16, 2005
Two Colors in Two Rows
July 15, 2005
Inequality 1/2·3/4·5/6· ... ·99/100 < 1/10
July 14, 2005
Life-like Automaton With Definable Rules
July 14, 2005
The Game of Life
July 13, 2005
On Bottema's Shoulders II
July 12, 2005
On Bottema's Shoulders
July 10, 2005
Simple Cellular Automaton
July 9, 2005
Weighing 12 coins
July 8, 2005
Integer Rectangle on a Chessboard by N. Bowler
July 7, 2005
Pole and Polar with respect to a Triangle
July 6, 2005
Pythagorean Theorem By Plane Tessellation
July 5, 2005
Three Tangents II
July 4, 2005
See-Saw Lemma
July 3, 2005
Birds on a Wire by S. Anderson
July 2, 2005
Concurrency in the Intouch Triangle
July 1, 2005
Dissection of a Rectangle into Two Chessboards
June 25, 2005
Proof #54 of the Pythagorean theorem
June 24, 2005
A Neglected Pythagorean-Like Formula
June 19, 2005
Minimax Theorem
June 18, 2005
A Versatile Theorem
June 14, 2005
Cube Counting Ambiguity
June 12, 2005
Shifting Cube Illusion
June 11, 2005
Viviani's theorem II
June 10, 2005
Integers and Rectangles: a Proof by Induction
June 8, 2005
Integers and Rectangles
June 7, 2005
Proof #51 of the Pythagorean theorem
June 5, 2005
Hart's Inversor
June 2, 2005
Hart Circle
June 1, 2005
Polar Circle
June 1, 2005
Four Triangles, One Circle
May 30, 2005
Feuerbach's Theorem: A Proof
May 29, 2005
Incidence in Feuerbach's Theorem
May 28, 2005
Rectangle on a Chessboard
May 26, 2005
Proofs #49 and #50 of the Pythagorean theorem
May 25, 2005
Proofs #46 , #47 and #48 of the Pythagorean theorem
May 24, 2005
3-Colors Tower of Hanoi
May 23, 2005
Hanoing
May 22, 2005
Shepard's Parallelogram Illusion
May 21, 2005
Parallelogram Illusion
May 20, 2005
Plane Isometries
May 19, 2005
Simple Quadrilaterals Tessellate the Plane
May 18, 2005
Glide Reflection
May 17, 2005
Rotation Transform
May 16, 2005
Homothety
May 15, 2005
Nagel Line
May 12, 2005
Coaxal Circles Theorem
May 11, 2005
Apollonian Circles Theorem
May 8, 2005
Hex Can't End in a Draw
May 5, 2005
Another Pair of Twins in an Arbelos
May 5, 2005
Divide a Circle into N Parts of Equal Area
May 4, 2005
Lost Boarding Pass
May 3, 2005
Area of Arbelos
May 3, 2005
Light Bulbs in a Circle
May 1, 2005
Translation Transform
April 30, 2005
Reflection In Line
April 29, 2005
Secant Angles
April 27, 2005
Sieve of Squares
April 26, 2005
Sieve of Eratosthenes
April 22, 2005
Nagel Point of Medial Triangle
April 21, 2005
An Interesting Number
April 21, 2005
Locus of Points in a Given Ratio to Two Points
April 20, 2005
External Angle Bisector
April 20, 2005
Tangency Point of Two Circles
April 19, 2005
Property of Angle Bisectors II
April 19, 2005
Property of Angle Bisectors
April 18, 2005
Adams' Circle
April 17, 2005
Inscribed Angles
April 16, 2005
Inscribed and Central Angles in a Circle
April 15, 2005
Divisibility by 7, 11, and 13
April 14, 2005
Inflection Points of Fourth Degree Polynomials
April 12, 2005
Munching on Circles
April 10, 2005
Signs in a Matrix
April 8, 2005
Partitioning 3-Space with Circles
April 7, 2005
Maximum Volume of a Cut Off Box
April 2, 2005
A Sticky Problem
March 30, 2005
Angle Trisection by Hippocrates
March 30, 2005
Rotating Gears
March 30, 2005
Morphing
March 29, 2005
Concurrency in Arbelos
March 28, 2005
Structural Constellation
March 27, 2005
Archimedes' Twin Circles and a Brother
March 26, 2005
Concyclic Points in Arbelos
March 21, 2005
Problem of Equal Steps II
March 20, 2005
Problem of Equal Steps
March 19, 2005
Gothic Arc
March 18, 2005
Book of Lemmas: Proposition 15
March 17, 2005
Book of Lemmas: Proposition 13
March 17, 2005
Book of Lemmas: Proposition 12
March 16, 2005
Book of Lemmas: Proposition 10
March 16, 2005
Two Butterflies Theorem III
March 15, 2005
Two Butterflies Theorem II
March 15, 2005
Book of Lemmas: Proposition 6
March 14, 2005
Book of Lemmas: Proposition 5
March 13, 2005
Book of Lemmas: Proposition 3
March 13, 2005
Book of Lemmas: Proposition 2
March 12, 2005
Book of Lemmas: Proposition 1
March 11, 2005
Rectangle in Arbelos
March 9, 2005
4×4×4 Tic Tac Toe
March 7, 2005
What Is Arithmetic?
March 5, 2005
Hummer's Mind Reader
March 3, 2005
Proof #45 of the Pythagorean theorem
March 2, 2005
Coin Game
February 22, 2005
What Is Geometry?
February 10, 2005
Staircase Illusion
February 9, 2005
Poggendorff's Illusion
February 9, 2005
Wundt Block Illusion
February 8, 2005
Wundt Illusion
January 31, 2005
Dividing a Segment into N parts: Besteman's Construction II
January 31, 2005
Dividing a Segment into N parts: Besteman's Construction
January 30, 2005
Dividing a Segment into N parts: GLaD Construction
January 29, 2005
Dividing a Segment into N parts: SaRD Construction
January 7, 2005
Problem in an Equilateral Triangle II
January 6, 2005
Property of the Powers of 2
January 4, 2005
Problem in an Equilateral Triangle
Copyright © 1996-2008 Alexander Bogomolny
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