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Complex Analysis
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Geometry
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
Real Analysis
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)
Complex Analysis
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
Probability
Random variables
Binomial distribution
Poisson distribution
Normal distribution
One, two and three standar deviations
Calculating probabilities in Normal distributions
More distributions... (Spanish)
History
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
Geometry
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Analysis
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Complex Analysis
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Probability
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History
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Help
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Contact
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