Proof: How the World Became Geometrical

Proof!: How the World Became Geometrical

by Amir Alexander

4.1 out of 5

Language	:	English
File size	:	40967 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Word Wise	:	Enabled
Print length	:	320 pages
X-Ray for textbooks	:	Enabled

FREE

Geometry is the study of shapes and their relationships. It is a fundamental branch of mathematics that has been used to solve problems in fields as diverse as engineering, architecture, and physics. But how did geometry come to be? How did the world become geometrical?

The answer to this question can be found in the history of mathematics. The first known geometric figures were created by the ancient Egyptians around 3000 BC. These figures were used to measure land and to build pyramids.

The Greeks were the next major contributors to the development of geometry. In the 6th century BC, Thales of Miletus proved that the sum of the angles in a triangle is 180 degrees. This was a major breakthrough in geometry, and it helped to lay the foundation for the development of trigonometry.

In the 3rd century BC, Euclid wrote his treatise on geometry, the Elements. This book is considered to be one of the most important works in the history of mathematics. It contains 13 books, which cover topics such as plane geometry, solid geometry, and number theory.

The Elements was translated into Arabic in the 9th century AD, and it was later translated into Latin in the 12th century AD. This made Euclid's work available to scholars throughout Europe, and it helped to spur the development of mathematics in the West.

In the 17th century AD, René Descartes developed analytic geometry. This new approach to geometry allowed mathematicians to use algebra to solve geometric problems. This was a major advance in mathematics, and it helped to make geometry more accessible to a wider range of people.

In the 19th century AD, mathematicians began to develop new types of geometry, such as non-Euclidean geometry and projective geometry. These new geometries have helped to expand our understanding of the world, and they have led to new applications of geometry in fields such as physics and computer science.

Today, geometry is a vibrant and growing field of mathematics. It is used to solve problems in a wide range of fields, and it continues to be a source of new discoveries.

The proof of how the world became geometrical is a long and winding one. It begins with the ancient Egyptians and continues through the Greeks, the Arabs, and the Europeans. Along the way, there have been many major breakthroughs in geometry, which have helped to expand our understanding of the world. Today, geometry is a vibrant and growing field of mathematics, with applications in a wide range of fields.

Proof!: How the World Became Geometrical

by Amir Alexander

4.1 out of 5

Language	:	English
File size	:	40967 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Word Wise	:	Enabled
Print length	:	320 pages
X-Ray for textbooks	:	Enabled

FREE