Search Results for: geometry

Legendre’s Elements of Geometry

Legendre’s Elements of Geometry

On September 18, 1752, French mathematician Adrien-Marie Legendre was born. He is best known for his contributions in number theory, celestial mechanics and elliptic functions. It was in a paper on celestial mechanics concerning the motion of planets (1784) that he first introduced the Legendre Polynomials. Moreover, he served as director of the of the Bureau des Longitudes, standardizing French weights and measures. Adrien-Marie Legendre Background Adrien-Marie Legendre was born in Paris…
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Gaspard Monge and his System of Descriptive Geometry

Gaspard Monge and his System of Descriptive Geometry

On May 10, 1746, French mathematician Gaspard Monge, Comte de Péluse was born. He is best known for being the inventor of descriptive geometry as the mathematical basis of technical drawing, and being the father of differential geometry. During the French Revolution Monge served as the Minister of the Marine, and was involved in the reform of the French educational system, helping to found the École Polytechnique. “Descriptive geometry has two objects: the first is…
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Euclid of Alexandria – the Father of Geometry

Euclid of Alexandria – the Father of Geometry

At about 330 BC, Euclid of Alexandria was born, who often is referred to as the Father of Geometry. His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from…
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August Ferdinand Möbius and the Beauty of Geometry

August Ferdinand Möbius and the Beauty of Geometry

On November 17, 1790, German mathematician and astronomer August Ferdinand Möbius was born. He is best known for his discovery of the Möbius strip, a non-orientable two-dimensional surface with only one side when embedded in three-dimensional Euclidean space. August Ferdinand Möbius – Family Background and Education August Möbius’ father Johann Heinrich Möbius was a dance teacher in Schulpforta, near Naumburg on the Saale River in the German state of Saxony-Anhalt. He died…
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Jakob Steiner and Analytical Geometry

Jakob Steiner and Analytical Geometry

On March 18, 1796, Swiss mathematician Jakob Steiner was born. Steiner‘s work was mainly confined to geometry. Moreover, he has been considered the greatest pure geometer since Apollonius of Perga. “Calculating replaces, while geometry stimulates, thinking” -Jakob Steiner (1796-1863) Early Years Steiner was the son of a small farmer, attended the local village school, where he learned to write only at the age of fourteen, and at the age of seventeen went…
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Piet Mondrian – Reducing Art to Simple Geometry

Piet Mondrian – Reducing Art to Simple Geometry

On March 7, 1872, Dutch Painter Pieter Cornelis Mondriaan was born. Mondrian is regarded as one of the greatest artists of the 20th century. He is known for being one of the pioneers of 20th century abstract art, as he changed his artistic direction from figurative painting to an increasingly abstract style, until he reached a point where his artistic vocabulary was reduced to simple geometric elements. “A form must be of…
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Girard Desargues and Projective Geometry

Girard Desargues and Projective Geometry

On February 21, 1591, French mathematician and engineer Girard Desargues was born. Desargues is considered one of the founders of projective geometry. Desargues‘ theorem, the Desargues graph, and the crater Desargues on the Moon are named in his honour. In his later years, he designed an elaborate spiral staircase, and an ingenious new form of pump, but the most important of Desargues‘ interests was Geometry. He invented a new, non-Greek way of…
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Jean-Victor Poncelet and Projective Geometry

Jean-Victor Poncelet and Projective Geometry

On July 1, 1788, French engineer and mathematician Jean-Victor Poncelet was born, whose study of the pole and polar lines associated with conic led to the principle of duality. As a mathematician, his most notable work was in projective geometry. He developed the concept of parallel lines meeting at a point at infinity and defined the circular points at infinity that are on every circle of the plane. These discoveries led to…
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Bernhard Riemann’s innovative approaches to Geometry

Bernhard Riemann’s innovative approaches to Geometry

  On September 17, 1826, influential German mathematician Bernhard Riemann was born. Riemann‘s profound and novel approaches to the study of geometry laid the mathematical foundation for Albert Einstein’s theory of relativity. He also made important contributions to the theory of functions, complex analysis, and number theory. “Nevertheless, it remains conceivable that the measure relations of space in the infinitely small are not in accordance with the assumptions of our geometry [Euclidean…
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Giovanni Saccheri and his Problems with Euclidian Geometry

Giovanni Saccheri and his Problems with Euclidian Geometry

On September 5, 1667, Italian Jesuit priest, scholastic philosopher, and mathematician Giovanni Girolamo Saccheri was born. He is primarily known today for his last publication, in 1733 , now considered the second work in non-Euclidean geometry. First Contact with Euclid’s Elements Saccheri was born in Sanremo to his father Giovanni Felice Saccheri, a lawyer and notary.[6] As a child Saccheri ‘was notably precocious’.[1] He entered the Jesuit order in 1685, and from…
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