Triangles

Morley triangle

Wallace-Simson lines

Steiner deltoid

Steiner deltoid is an hypocycloid

The deltoid and the Morley triangle

Pythagoras' theorem in a tiling

Circles

Central and inscribed angles in a circle

"Mostration"

Plane transformations

Dilative rotation

Durer

The Ambassadors by Holbein the Younger (in Spanish)

Spirals

Equiangular spiral

Dilation and rotation in a equiangular spiral

The divine proportion

The golden rectangle

The golden rectangle and the dilative rotation

The golden rectangle and two equiangular spirals

The golden spiral

Space geometry

Volume of the tetrahedron

Sections on a tetrahedron

Sections in Howard Eves's tetrahedron

Sections in the sphere

Surprising Cavalieri congruence between a sphere and a tetrahedron

Regular dodecahedron

The volume of a regular dodecahedron (new Flash version)

Volume of a octahedron

Sequences and Series

Geometric sequence

Geometric series sum

Gamma, Euler's constant

Powers and polynomials

Powers with natural exponents

Powers with positive rational exponents

Polynomial of degree 3 with 3 real roots

Polynomial approximations

Integral

Riemann integral

The error approximating the integral

Archimedes' Method to calculate the area of a parabolic segment

Taylor polynomials

Taylor polynomials: Exponential function

Taylor polynomials: Sine function

Mercator and Euler: The Logarithm Function

Taylor polynomials: Square root

Taylor polynomials: Rational function 1

Taylor polynomials: Rational function 2

Taylor polynomials: Rational function with two singularities

Taylor polynomials: Rational function without real singularities

Exponenciales y logaritmos (in Spanish)

More ... (Spanish)

Product of complex numbers

Multiplying two complex numbers

The product as a complex plane transformation

Geometric sequence

Complex functions

Powers with natural exponent

Polynomial of degree 3

Polynomial of degree n

More complex functions... (Spanish)

The Complex Exponential Function

Inversion

Inversion: an anticonformal transformation

Taylor polynomials

Taylor polynomials: Complex rational function with two singularities

Taylor polynomials: Complex Exponential Function

Taylor polynomials: Complex Cosine Function

Random variables

Binomial distribution

Poisson distribution

Normal distribution

One, two and three standar deviations

Calculating probabilities in Normal distributions

More distributions... (Spanish)

Pythagoras

Pythagoras' theorem in a tiling

Archimedes

Archimedes' Method to calculate the area of a parabolic segment

Kepler

Kepler: Surface and volume of a sphere

Kepler: The volume of a wine barrel

Kepler: The best proportions for a wine barrel

Cavalieri

Cavalieri: The volume of a sphere

The Logarithm Function

Mercator and Euler: The Logarithm Function