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Xem tất cả trên WikipediaParallel postulate - Wikipedia
https://en.wikipedia.org/wiki/Parallel_postulateIn geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry: If a line segment intersects two straight lines forming two interior angles on the same
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Xem thêmProbably the best known equivalent of Euclid's parallel postulate, contingent on his other postulates, is Playfair's axiom, named after the Scottish mathematician John Playfair, which states:
In a plane, given a line and...
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For two thousand years, many attempts were made to prove the parallel postulate using Euclid's first four postulates. The main reason that such a proof was so highly sought after was
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Xem thêmEuclid did not postulate the converse of his fifth postulate, which is one way to distinguish Euclidean geometry from elliptic geometry. The Elements contains the proof of an equivalent statement (Book I, Proposition 27): If a straight line falling on two straight lines make
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Xem thêmThe parallel postulate is equivalent, as shown in, to the conjunction of the Lotschnittaxiom and of Aristotle's axiom. The former states that the
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Xem thêm• On Gauss' Mountains
Eder, Michelle (2000), Views of Euclid's Parallel Postulate in Ancient Greece and in Medieval Islam, Rutgers University, retrieved 2008-01-23...
Xem thêmAttempts to logically prove the parallel postulate, rather than the eighth axiom, were criticized by Arthur Schopenhauer in The World as Will and Idea. However, the argument used by
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Xem thêmVăn bản Wikipedia theo giấy phép CC-BY-SAMục này có hữu ích không?Cảm ơn! Cung cấp thêm phản hồiParallel postulate - Simple English Wikipedia, the free ...
https://simple.wikipedia.org/wiki/Parallel_postulateIn geometry the parallel postulate is one of the axioms of Euclidean geometry.Sometimes it is also called Euclid's fifth postulate, because it is the fifth postulate in Euclid's Elements.. The postulate says that: If you cut a line segment with two lines, and the two interior angles the lines form add up to less than 180°, then the two lines will eventually meet if you extend them long …
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parallel postulate - Wiktionary
https://en.wiktionary.org/wiki/parallel_postulate- parallel postulate (plural parallel postulates) 1. (geometry) An axiom of Euclidean geometry equivalent to the statement that, given a straight line L and a point P not on the line, there exists exactly one straight line parallel to L that passes through P; a variant of this axiom, such that the number of lines parallel to L that pass through P may be zero or more than one.quotations ▼ 1…
Talk:Parallel postulate - Wikipedia
https://en.wikipedia.org/wiki/Talk:Parallel_postulateThe Wikipedia articles on non-Euclidean geometry, elliptic geometry and hyperbolic geometry only talk about these geometries violating the parallel postulate; they make no statement about the other postulates, but it seems implicit that only the parallel postulate is violated. The article on absolute geometry, which assumes only the first four ...
Hyperbolic geometry - Simple English Wikipedia, the free ...
https://simple.wikipedia.org/wiki/Hyperbolic_geometryXem thêm trên simple.wikipedia.orgThe parallel postulate in Euclidean geometry says that in two dimensional space, for any given line l and point P not on l, there is exactly one line through P that does not intersect l. This line is called parallel to l. In hyperbolic geometry there are at least two such lines through P. As they do not intersect l, the parallel postulate …- Thời gian đọc ước tính: 8 phút
Tập tin:Parallel postulate en.svg – Wikipedia tiếng Việt
https://vi.wikipedia.org/wiki/Tập_tin:Parallel_postulate_en.svgTập tin:Parallel postulate en.svg. Bách khoa toàn thư mở Wikipedia. Bước tới điều hướng Bước tới tìm kiếm. Tập tin. Lịch sử tập tin. Trang sử dụng tập tin. Sử dụng tập tin toàn cục. Kích thước bản xem trước PNG này của tập tin SVG: 800×600 điểm ảnh. Độ phân giải khác ...
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- Ngày tạo ra: 14 tháng 8 năm 2008
- Miêu tả: English: Diagram illustrating Euclid's parallel postulate
- Tác giả: 6054
File:Parallel postulate.svg - Wikimedia Commons
https://commons.wikimedia.org/wiki/File:Parallel_postulate.svg09/09/2020 · File:Parallel postulate.svg. Size of this PNG preview of this SVG file: 800 × 600 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels.
Parallel postulate Facts for Kids | KidzSearch.com
https://wiki.kidzsearch.com/wiki/Parallel_postulateParallel postulate. KidzSearch Safe Wikipedia for Kids. If the sum of the inner angles α ( alpha) and β (beta) is less than 180°, the two lines will intersect somewhere, if both are prolonged to infinity. In geometry the parallel postulate is one of the axioms of Euclidean geometry. Sometimes it is also called Euclid 's fifth postulate ...
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