Member-only story

The Story of Geometry: From Parallel Lines to Hyperspace

Mario Vargas Llosa

·10.2k Followers· Follow

Published in Euclid S Window: The Story Of Geometry From Parallel Lines To Hyperspace

4 min read

1.2k View Claps

84 Respond

Save

Listen

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

by Leonard Mlodinow

4.4 out of 5

Language	:	English
File size	:	2860 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Word Wise	:	Enabled
Print length	:	324 pages

Geometry is the study of shapes and their properties. It is a branch of mathematics that has been used for centuries to solve problems in the real world. In this article, we will explore the history of geometry, from its humble beginnings in ancient Greece to its modern applications in fields such as architecture, engineering, and computer graphics.

Ancient Greece

The foundations of geometry were laid in ancient Greece by the mathematician Euclid. In his book Elements, Euclid set out a series of axioms and postulates that defined the basic concepts of geometry. These included the famous parallel postulate, which states that through a given point, there is only one line that can be drawn parallel to a given line.

Euclid's Elements was a major work that had a profound impact on the development of mathematics. It was used as a textbook for centuries and is still considered one of the most important works in the history of mathematics.

Non-Euclidean Geometry

In the 19th century, mathematicians began to question the parallel postulate. They realized that it was possible to create a consistent geometry that did not include the parallel postulate. This led to the development of non-Euclidean geometry.

Non-Euclidean geometry has many applications in the real world. For example, it is used in the design of lenses and mirrors. It is also used in the study of cosmology, the study of the universe.

Hyperspace

In the 20th century, mathematicians began to explore the concept of hyperspace. Hyperspace is a space that has more than three dimensions. It is difficult to visualize hyperspace, but it has many applications in the real world.

For example, hyperspace is used in the study of string theory, a theory that attempts to unify all of the forces of nature. Hyperspace is also used in computer graphics to create realistic 3D images.

Geometry is a vast and complex subject with a rich history. It has been used for centuries to solve problems in the real world. Today, geometry is used in a wide variety of fields, from architecture to computer graphics. As we continue to explore the universe, geometry will continue to play an important role in our understanding of the world around us.

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

by Leonard Mlodinow

4.4 out of 5