Difference between revisions of "Euclidean geometry"
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'''Euclidean geometry''' is geometry that stemmed from the work of [[Euclid]]. In Euclidean geometry, there are 5 [[postulate]]s. The 5th is the parallel postulate. | '''Euclidean geometry''' is geometry that stemmed from the work of [[Euclid]]. In Euclidean geometry, there are 5 [[postulate]]s. 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]]. | Euclid, the '''father of modern geometry''', is most known for his thirteen books on fundamental mathematics, called [[Euclid's Elements]]. | ||
| + | ===Parallel Postulate=== | ||
| + | {{main|Parallel Postulate}} | ||
| + | The fifth [[postulate]] stated in the book, equivalent to the following statement, | ||
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| + | :''“Through any line and a point not on the line, there is exactly one line passing through that point parallel to the line”'' | ||
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| + | 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. | ||
| + | |||
{{stub}} | {{stub}} | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Latest revision as of 18:10, 15 August 2023
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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