Euclidean geometry

Euclidean geometry is geometry that stemmed from the work of Euclid. In Euclidean geometry, there are 5 postulates. The 5th is the parallel postulate. Euclid, the father of modern geometry, is most known for his thirteen books on fundamental mathematics, called Euclid's Elements.

Parallel Postulate

Main article: Parallel Postulate

The fifth postulate stated in the book, equivalent to the following statement,

“Through any line and a point not on the line, there is exactly one line passing through that point parallel to the line”

was the subject of a controversy for many centuries, with many attempted proofs. It is much less simple than the other postulates, and more wordy. This postulate is the basis of Euclidean geometry.

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