# Chronology of Updates (1997)

December 31 1997 |
Between Arithmetic and Algebra |

December 22 1997 |
Thanks to S.Brodie for the page "Inscribing a regular pentagon in a circle – and proving it" |

December 19 1997 |
A drill applet for Trilateral Diagrams |

December 18 1997 |
Trilateral Diagrams |

December 17 1997 |
Bilateral Diagrams |

December 16 1997 |
Started Lewis Carroll's Logic Game page |

December 14 1997 |
Stewart's theorem and Heron's formula from the Pythagorean Theorem |

December 13 1997 |
The Arithmetic-Geometric Mean Inequality as a consequence of the Pythagorean Theorem |

December 11 1997 |
Another proof of Napoleon's theorem |

December 10 1997 |
Brought the number of proofs of the Pythagorean Theorem to 25. |

December 3 1997 |
Extension of Euclid's Algorithm |

December 2 1997 |
Stern-Brocot Tree and Farey Series |

December 1 1997 |
Tribute to Invariance |

November 30 1997 |
Binary Euclid's Algorithm and relation of gcd to the Fundamental Theorem of Arithmetic |

November 26 1997 |
What do you call a centipede? |

November 25 1997 |
Squares, Circles, and Triangles |

November 22 1997 |
Distance Between Strings |

November 21 1997 |
Bounded Distance |

November 20 1997 |
Sums and Products |

November 19 1997 |
You can add apples and oranges |

November 16 1997 |
Math Lingo: a bad meme virus |

November 15 1997 |
Looping Chips |

November 14 1997 |
Solitaire in the Circle |

November 13 1997 |
Another proof of Napoleon's Theorem |

November 8 1997 |
Hausdorff Distance |

November 5 1997 |
A simulation for the Marriage Problem |

November 4 1997 |
Further musings on proofs, intuition and axiomatics |

November 3 1997 |
Thanks to S.Brodie for the Bolzano's Theorem page |

November 2 1997 |
Thanks to W.McWorter for the Marriage Theorem |

November 1 1997 |
Dividing Loot Fairly |

October 29 1997 |
Another look at the problem of breaking Chocolate Bars |

October 27 1997 |
Thanks to Richard Beigel for new discussions on Changing Colors puzzle, Separating point sets with a circle, and Irrationality of the square root of 2 |

October 26 1997 |
Number Guessing Game |

October 25 1997 |
Euclid's Game |

October 22 1997 |
Orthogonal latin squares |

October 20 1997 |
4 Knights |

October 18 1997 |
Latin Squares |

October 17 1997 |
One solution to the Josephus Flavius problem |

October 12 1997 |
Conversion of Fractions in Various Bases |

October 10 1997 |
Abacus in Various Number Systems |

October 7 1997 |
Upgraded pages on the Fundamental Theorem of Algebra |

October 5 1997 |
Napier Bones |

October 4 1997 |
Euclid's Algorithm |

October 3 1997 |
Equivalence Relations |

October 2 1997 |
Two weighing problems |

October 1 1997 |
Euler's Function and Congruence Theorem and Chinese Remainder Theorem |

September 30 1997 |
Spreading Memes |

September 28 1997 |
Divisibility Criteria |

September 26 1997 |
Wilson's Theorem |

September 25 1997 |
Formal Framework, an example. |

September 24 1997 |
Fermat's Little Theorem and A Real Life Story |

September 23 1997 |
Modular Arithmetic |

September 22 1997 |
Arithmetic Operations in Various Bases |

September 21 1997 |
Deliberate Ambiguities |

September 19 1997 |
Sperner's Theorem. |

September 18 1997 |
Three Circles and Common Tangents. |

September 17 1997 |
Flipping pancakes. |

September 15 1997 |
A tool to verify some graph features. |

September 14 1997 |
Generalization of the Napoleon's Theorem |

September 13 1997 |
A beautiful property of a^{n} and a few pigeonhole problems |

September 11 1997 |
Napoleon's Theorem |

September 10 1997 |
Added a simulation for the Sperner's Lemma |

September 8 1997 |
Infinitude of Primes and Ford's touching circles |

September 6 1997 |
Diagonal Count |

August 13 1997 |
Calendars, a story of mistakes |

August 11 1997 |
Calendar Magic |

August 10 1997 |
Impossible Machine and Long Runs of Composite Numbers |

August 9 1997 |
Number System With Base 36 |

August 8 1997 |
Viewing a Statue |

August 7 1997 |
Added a nice fact about Orthocenters and started a section on Inventor's Paranoia on the Generalization page. |

August 6 1997 |
Added a Spanish Cryptarithm |

August 2 1997 |
Squares and Circles game. |

July 31 1997 |
Plus or Minus game |

July 25 1997 |
Added solutions to the Pigeonhole Principle problems. |

July 24 1997 |
A problem of Constant Chord and a consequence of the Ptolemy's Theorem. |

July 19 1997 |
Mathematical Induction. |

July 16 1997 |
Added the Cosine Rule and Proof #23 of the Pythagorean Theorem. |

July 15 1997 |
Added Proof #22 of the Pythagorean Theorem. |

July 14 1997 |
Ptolemy's Theorem and Proof #21 of the Pythagorean Theorem. |

July 9 1997 |
Brought up the number of proofs of the Pythagorean Theorem to 20. |

July 8 1997 |
Squaring a circle is an impossible task. |

July 7 1997 |
Three circles problem with a beautiful proof. |

July 6 1997 |
Identical Twins Puzzle. |

July 4 1997 |
The Plainim game. |

June 27 1997 |
Superposition Principle. |

June 25 1997 |
Started a page on Linear Programming. |

June 22 1997 |
Group multiplication of permutations. |

June 21 1997 |
How to efficiently defend a castle. |

June 19 1997 |
Ways to define and list permutations. |

June 15 1997 |
Added a hint display to Blithe 12, Lucky 7 and Happy 8 puzzles. |

June 13 1997 |
Added a beautiful proof and a related magic piece. |

June 11 1997 |
Added a couple of pages on the Fundamental Theorem of Algebra. |

June 8 1997 |
Added definition of Minkowski operations to the Addition of Shapes page. |

June 7 1997 |
Added a couple of lemmas to the Groups of Permutations and supplied details for the solvability proof of the Happy 8 puzzle. |

June 6 1997 |
Simplified the Binary Color Device. |

June 5 1997 |
Added a page on multiplication of a vector by a matrix. |

June 3 1997 |
Added a Northcott's game. |

May 26 1997 |
Added musings on multiplication of sets and equations. |

May 25 1997 |
Felt like explaining how the Base Conversion works. |

May 24 1997 |
Added a little discussion on Tarski-Banach Decompositions. |

May 23 1997 |
Added proofs #15, #16 and #17 of the Pythagorean Theorem. |

May 22 1997 |
Added a proof #14 of the Pythagorean Theorem. Actually it's not just one proof. |

May 19 1997 |
Expanded Four 4s up to 185. |

May 18 1997 |
Added a little something on matrix multiplication and functions. |

May 17 1997 |
Added the game of Scoring and Nimble |

May 10 1997 |
Added a short discussion on multiplication of functions |

May 9 1997 |
Added a few French cryptarithms |

May 6 1997 |
Started a counter and made it funny on May 8. |

May 3 1997 |
Added a simulation to the Breaking Chocolate Bar page |

April 30 1997 |
Added a couple of beautiful facts |

April 26 1997 |
Added a Reverse Solitaire puzzle. Also, made the whole of alt.bookstore searcheable. |

April 25 1997 |
Redesigned Peg Solitaire. Added a variety of starting configurations. |

April 22 1997 |
Added a page on Steiner's Theorem |

April 20 1997 |
Added a page on Russell's Paradox |

April 19 1997 |
Added a page on Vector product |

April 18 1997 |
Began describing The many ways to construct a triangle |

April 17 1997 |
Added a page on the Shoemaker's Knfie |

April 15 1997 |
Computing a simple integral without Calculus |

April 13 1997 |
A big day: stumbled into 4 more proofs of the Pythagorean Theorem to the total of 13. |

April 12 1997 |
Added some musings on Shapes in a lattice and Separating point sets with a circle |

April 10 1997 |
Added a Changing Colors puzzle |

April 8 1997 |
Added a simple proof about a Longest segment |

April 7 1997 |
Added a page on Peano axioms and multiplication of integers |

April 6 1997 |
Started a page on Multiplication and another on Things Impossible |

April 5 1997 |
Added a little discussion on Homogeneous Functions to the Generalizations page |

April 3 1997 |
Started a Math Magic page |

April 2 1997 |
Added a Generalizations of the Pythagorean Theorem to the Generalizations page |

March 29 1997 |
Started a quotations page on Beauty of Matheamtics |

March 28 1997 |
Added a couple of problems on Covering A Chessboard With Domino |

March 24 1997 |
Added a couple of simple proofs |

March 23 1997 |
Added Two coins and Train wheel puzzles to the Cycloids page |

March 22 1997 |
Made the banner clickable |

March 21 1997 |
Made a game out of the CHECKER - JUMPING problem |

March 17 1997 |
Added some ass business to the Manifesto |

March 16 1997 |
Added a beautiful proof about one of the conic sections |

March 15 1997 |
Added a Weierstrass Product Inequality to the Generalizations page |

March 14 1997 |
Added a short discussion on Breaking Chocolate Bars |

March 13 1997 |
Added a Peg Solitaire puzzle |

March 9 1997 |
Added a page on the Index Lemma and the Fixed Point Theorem |

March 8 1997 |
Added a couple of pages to the Manifesto |

March 2 1997 |
Finally added my Manifesto as to the purpose of this site. Couldn't wait until April 1. |

February 28 1997 |
Added a Continued fractions page. |

February 26 1997 |
Added a little something about linear functions. |

February 24 1997 |
Added ruminations on the right way of adding milk to coffee. |

February 23 1997 |
Added an article from The American Mathematical Monthly and my reply to it to the Mathematics as a Language page |

February 18 1997 |
Added a page on Cantor Set and Function. Upgraded the Three 3's,4's, and 5's pages |

February 17 1997 |
Expanded pages on Proofs in Mathematics and Mathematics as a language |

February 16 1997 |
Started a page on Proofs in Mathematics |

February 13 1997 |
Added the Turning Turtles game |

February 11 1997 |
Added the Wythoff's Nim puzzle |

February 7 1997 |
Added a proof of solvability of the Blithe 12 puzzle |

February 6 1997 |
Upgraded Self-reference page |

February 4 1997 |
Added a page on Misuse and Misconception of Statistics |

February 3 1997 |
Upgraded the Coincidence page |

February 2 1997 |
Started Mathematics as a language page |

February 1 1997 |
Upgraded proofs for the Fifteen, Sliders, Lucky 7, and Happy 8 puzzles |

January 30 1997 |
Added some musings about American Schoolteacher and my gullibility |

January 25 1997 |
Started a page of Addition |

January 24 1997 |
Scanned a few pages from The Power of Logical Thinking by Marylin vos Savant. Makes a good reading. |

January 22 1997 |
Added a page on Mathematical Proof |

January 18 1997 |
Added The only rational triangle page |

January 16 1997 |
Added a Binary Color Device to help learn boolean bitwise operations. |

January 5 1997 |
Converted the Bibliography page into a Bookstore in association with Amazon.com. |

January 4 1997 |
Started a Fast Arithmetic Tips page. |

January 1 1997 |
Added a page on Pigeonhole Principle |

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