The ancient Greeks established the basis of geometry, developing theories about points, lines, angles, shapes, and measurement that have been fundamental to mathematics ever since.

## Detailed response question

The ancient Greeks established the basis of geometry, developing theories about points, lines, angles, shapes, and measurement that have been fundamental to mathematics ever since. According to the famous philosopher and mathematician, Plato, “Geometry will draw the soul toward truth and create the spirit of philosophy.”

Here are some interesting facts about the ancient Greek basis of geometry:

- The word “geometry” comes from the Greek words “geo” meaning “earth” and “metron” meaning “measure.”
- Euclid, a Greek mathematician, wrote a book called “The Elements” which is still used as a textbook in geometry courses today.
- Greeks believed that geometry was the key to understanding the universe and used it to explain everything from the movements of the stars to the shape of the earth.
- The Greeks were the first to use deductive reasoning in geometry, meaning they started with a set of axioms and built theorems from them.
- Pythagoras, another Greek mathematician, is famous for the Pythagorean theorem which relates to the relationship between the sides of a right triangle.
- The Greek philosopher, Aristotle, believed that geometry was the first science because it dealt with immaterial concepts such as points and lines.

Here is a table summarizing some of the important Greek mathematicians and their contributions to the development of geometry:

Greek Mathematician | Contribution to Geometry |
---|---|

Thales | First to use deductive reasoning |

Pythagoras | Pythagorean Theorem |

Euclid | “The Elements” textbook |

Archimedes | Volume and surface area formulas |

Apollonius | Conic sections |

In conclusion, the ancient Greeks made significant contributions to the development of geometry and their theories and concepts continue to be integral to the field of mathematics today.

**See the answer to your question in this video**

The video covers the contribution of Ancient Greeks and the Pythagoreans in revolutionizing mathematics, philosophy and government. The Pythagoreans’ work on shapes such as circles, rectangles and triangles paved the way for the development of geometry, which was considered as a form of inquiry with completely objective answers. The Pythagoreans viewed mathematics as the study of divine perfection in physical form and their mystic beliefs, although some were found to be untrue, made significant contributions to mathematics that are still being used today.

## Further answers can be found here

The word geometry has its roots in the Greek work

geometrein, which means “earth measuring”. Before the time of recorded history, geometry originated out of practical necessity; it was the science of measuring land.

Euclidean geometry

Euclidean geometryis a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.