matematicas visuales visual math
History

Pythagoras' Theorem in a tiling | matematicasVisuales Archimedes' Method to calculate the area of a parabolic segment | matematicasVisuales Archimedes and the area of an ellipse: an intuitive approach | matematicasVisuales Archimedes and the area of an ellipse: Demonstration | matematicasVisuales Leonardo da Vinci: Drawing of a dodecahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales Leonardo da Vinci: Drawing of a truncated octahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales Leonardo da Vinci: Drawing of a cuboctahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci: Drawing of an stellated octahedron (stella octangula) made to Luca Pacioli's De divina proportione. | matematicasVisuales Leonardo da Vinci: Drawing of a truncated tetrahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales Leonardo da Vinci:Drawing of an octahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales Leonardo da Vinci:Drawing of a rhombicuboctahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales Durer's approximation of a Regular Pentagon | matematicasVisuales Durer and transformations | matematicasVisuales Kepler: The Area of a Circle | matematicasVisuales
Kepler: The volume of a wine barrel | matematicasVisuales Kepler: The best proportions for a wine barrel | matematicasVisuales Cavalieri: The volume of a sphere | matematicasVisuales Mercator and Euler: Logarithm Function | matematicasVisuales


Pitagoras
Pythagoras' Theorem in a tiling | matematicasVisuales
We can see Pythagoras' Theorem in a tiling. It is a graphic demonstration of Pythagoras' Theorem we can see in some floor made using squares of two different sizes.

Archimedes
Archimedes' Method to calculate the area of a parabolic segment | matematicasVisuales
Archimedes show us in 'The Method' how to use the lever law to discover the area of a parabolic segment.
Archimedes and the area of an ellipse: an intuitive approach | matematicasVisuales
In his book 'On Conoids and Spheroids', Archimedes calculated the area of an ellipse. We can see an intuitive approach to Archimedes' ideas.
Archimedes and the area of an ellipse: Demonstration | matematicasVisuales
In his book 'On Conoids and Spheroids', Archimedes calculated the area of an ellipse. It si a good example of a rigorous proof using a double reductio ad absurdum.

Leonardo da Vinci's drawings for Luca Pacioli's book 'De divina proportione'
Leonardo da Vinci: Drawing of a dodecahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the dodecahedron.
Leonardo da Vinci: Drawing of a truncated octahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the truncated octahedron.
Leonardo da Vinci: Drawing of a cuboctahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the cuboctahedron.
Leonardo da Vinci: Drawing of an stellated octahedron (stella octangula) made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the stellated octahedron (stella octangula).
Leonardo da Vinci: Drawing of a truncated tetrahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the truncated tetrahedron.
Leonardo da Vinci:Drawing of an octahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the octahedron.
Leonardo da Vinci:Drawing of a rhombicuboctahedron made to Luca Pacioli's De divina proportione. | matematicasVisuales
Leonardo da Vinci made several drawings of polyhedra for Luca Pacioli's book 'De divina proportione'. Here we can see an adaptation of the rhombicuboctahedron.

Durer
Durer's approximation of a Regular Pentagon | matematicasVisuales
In his book 'Underweysung der Messung' Durer draw a non-regular pentagon with ruler and a fixed compass. It is a simple construction and a very good approximation of a regular pentagon.
Durer and transformations | matematicasVisuales
He studied transformations of images, for example, faces.

Kepler
Kepler: The Area of a Circle | matematicasVisuales
Kepler used an intuitive infinitesimal approach to calculate the area of a circle.
Kepler: The volume of a wine barrel | matematicasVisuales
Kepler was one mathematician who contributed to the origin of integral calculus. He used infinitesimal techniques for calculating areas and volumes.
Kepler: The best proportions for a wine barrel | matematicasVisuales
Studying the volume of a barrel, Kepler solved a problem about maxima in 1615.

Cavalieri
Cavalieri: The volume of a sphere | matematicasVisuales
Using Cavalieri's Principle we can calculate the volume of a sphere.

The Logarithm Function
Mercator and Euler: Logarithm Function | matematicasVisuales
Mercator published his famous series for the Logarithm Function in 1668. Euler discovered a practical series to calculate.