Leonardo da Vinci's Mathematics

Leonardo da Vincin matematiikka

Leonardo da Vinci made significant contributions to mathematics, often integrating mathematical principles into his art and scientific studies.

Mathematical concepts in art

Linear Perspective: Da Vinci used linear perspective to create the illusion of depth in his paintings. This technique involves parallel lines converging at a single point on the horizon, known as the vanishing point.

Golden Ratio: Da Vinci is believed to have used the golden ratio (approximately 1.618) in his works, such as the Mona Lisa and The Last Supper. The golden ratio is a mathematical proportion that has been used in art and architecture for its aesthetically pleasing properties.

The dimensions of the face of the Mona Lisa are thought to reflect the golden ratio. The distance between the top of the head and the chin, compared to the distance between the eyes and the chin, often follows this ratio. The length and width of the mouth and the positioning of the eyes also align with the golden ratio.

The dimensions of the painting itself are sometimes described as fitting within a golden rectangle, where the ratio of the longer side to the shorter side is the golden ratio.

Symmetry and Proportion: His famous drawing, the Vitruvian Man, illustrates the proportions of the human body and its symmetry, reflecting the principles of geometry and proportion.

Scientific Studies:

Geometry and Proportion: Da Vinci studied geometric shapes and proportions, applying these principles to his engineering designs and anatomical drawings.

Archimedes' Principles: He explored the principles of buoyancy and fluid dynamics, building on the work of Archimedes.

Friction and Center of Gravity: Da Vinci investigated the laws of friction and the center of gravity, which were crucial for his mechanical inventions.

Leonardo da Vinci's integration of mathematics into his work demonstrates the deep connection between art and science during the Renaissance. His contributions continue to inspire and influence both fields today.

EP Calculation

The Last Supper painting contains a message about ancient mathematics and how we should perceive these things. A detail in the painting below depicts a pyramid, and the eyes are meant to open our understanding. The painting serves as a hidden drama about a forbidden subject during the Inquisition. It's almost a thriller about the potential fate of Leonardo da Vinci. I write about this in my books and also partly discuss it on my pages.

Leonardo da Vinci knew the golden ratio of 1.63, as defined in the Bible. He played with this in his paintings, using prehistory mathematics.

Prehistory people knew the idea of ​​balance when the same or different weight. This was needed when the weight of the goods exchanged varied during the trade.