Math Garden: January 2014

Math for the curious

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Labels: Fermat, identity

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Vietnamese Version

A facebook friendship problem

Caveman's multiplication

When I look in your eyes

Hexagrammum Mysticum Theorem

Pythagorean Theorem

1 = 2012 = 2013

Fibonacci numbers and a tile matching puzzle

James' geometry art

James' question

Vianney's awesome square!

Measuring liquid puzzle

Gauss' trigonometric identities for heptadecagon

Happy New Year 2014

Happy New Year 2015

Happy New Year 2016

What does a 4-dimensional space look like?

Construction of regular polygons

How to construct a regular polygon with 15 sides

Is 0.9999999... equal to 1? (2015)

Chessboard and pyramid

Sequence

Sequence - Part 1

Sequence - Part 2

Sequence - Part 3

Sequence - Part 4

Sequence - Part 5

Sequence - Part 6

Sequence - Part 7

Sequence - Part 8

Sequence - Part 9

Algebra

Pascal's triangle

Mathematical induction

Mathematical induction II

Mathematical induction III

Binomial identity

1 = 2012 = 2013

Newton polynomial interpolation

Lagrange polynomial interpolation

A proof of Wilson's Theorem using polynomial interpolation

Complex number

de Moivre's formula

Trigonometry

Trigonometric multiple-angle formulas

Gauss' trigonometric identities for heptadecagon

Number theory

modulo - Part 1

modulo - Part 2

modulo - Part 3

modulo - Part 4

modulo - Part 5

modulo - Part 6

Euclid's theorem on prime numbers

Some problems on prime numbers

Wilson's Theorem

Pythagorean triples

Modulo for rational numbers

Modulo for rational numbers II

Another Proof of Wilson's Theorem

Bézout's lemma

Euclidean algorithm

Power sum and Wolstenholme's theorem

Measuring liquid puzzle

How to construct a regular polygon with 15 sides

Fibonacci numbers and continued fractions

Pythagorean Identity

Euler's magic square

Combinatorics

A facebook friendship problem

Fibonacci numbers and a tile matching puzzle

Fibonacci identities

Fibonacci sequence and Pascal triangle

Geometry

Pythagorean Theorem

Right Triangle Altitude Theorem

Morley's Theorem

Power of a point to a circle

Radical axis and radical center

Ceva's Theorem and Menelaus' Theorem

Hexagrammum Mysticum Theorem

Pascal's Theorem

Pappus' Theorem

Pascal's butterfly

The butterfly problem

Star of David theorem

Solve for special cases first!

A problem about finding shortest path and a property of the ellipse

The Fermat's point of a triangle

The Fermat's point of a triangle II

Construction

Compass-and-straightedge construction

Divide a quadrilateral into equal areas

Construction of a regular pentagon

Construction of regular polygons

How to construct a regular polygon with 15 sides

Right Triangle Altitude Theorem

Construction algorithm

Gauss' trigonometric identities for heptadecagon

Construction by compass alone

Divide a line segment by compass

Analysis

Sum of reciprocal squares

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