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What influence does Euclidean geometry have on western culture?
It marks the establishment of Euclidean geometry. The significance of "Elements of Geometry" is by no means limited to the importance of its contents or its excellent proof of theorems. What really matters is the axiomatic method created by Euclid in his book.

Euclidean geometry is a geometry constructed according to Euclid's Elements of Geometry.

Its appearance is an extremely far-reaching event in the history of mathematics development and a milestone in the history of human civilization.

For more than two thousand years, this book has been occupying the leading position in geometry teaching, and its position is unshakable so far. Many countries, including China, still use it as a geometry textbook.

Extended data:

After Euclid compiled the Elements of Geometry and formed his own theoretical system, Euclid also studied Plato.

Establish your own school, recruit disciples, and publicize your own scientific views. At that time, geometry has gradually become a fashion.

Euclidean geometry originated in the 3rd century BC. Euclid, an ancient Greek mathematician, took some geometric knowledge recognized by people as definitions and axioms, studied the properties of graphics on this basis, deduced a series of theorems and formed a deductive system.

Axiom:

Any two points can be connected by a straight line.

If both straight lines intersect with the third line, and the sum of internal angles on the same side is less than the sum of two right angles, then the two straight lines must intersect at that side.

Baidu Encyclopedia-Euclid Geometry