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Just as of each the geometry of the times students well-known
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The father of of the geometry is Euclid.
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He is a Greek mathematician. To live in the the BC approximately three hundred years
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Egypt's Alexandria.
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Euclid is "geometric originally"
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This affects the the author of of the the far-reaching writings of of.
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Do do you think to your math the textbooks is too thick it?
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Euclid 's elements geometric originally "There are 13 volumes, and only talking about the geometric.
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In the the "geometric, made originally" in the the, the the Euclid constructor and top-up to many
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Previously mathematician the work of,
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Like a Pythagoras (Pythagoras),
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欧多克索斯 (Eudoxus),
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Hippocrates (Hippocrates),
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There are other people.
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Euclid put they the results of with the the proof of the logic system write it down,
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This proves that system to construct in the
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Definition of, common cognitive,
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As well as on top of the his the five famous Postulate. (Translate and annotate: Postulate ie, the outset identified if the peer-to-the narrative.)
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Postulate in the the four of which are simple and intuitive navigation on of the,
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For example, by two points can decide the a line.
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And that the fifth postulate, then the derivative stretched out the the story of of we will talk about.
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This fifth mysterious the Postulate of
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Simply be referred to as a the the "the parallel postulate".
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You see, that the and the the in front of four Postulate is not the same as,
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This fifth Postulate narrative the ground is very beat around the bush.
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This is the a the version of Euclid:
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"If a straight line with another two lines of intersection
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And is interior angles on's of the same side of two
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Add up to Smaller the the angle of of the two Right-angle,
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Then the that two straight lines
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Will eventually intersect in the the that side of,
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Accordingly parallel to they do not. "
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Wow, This is true convoluted!
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This is the a is relatively simple, Members is also more well-known the version of:
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"In the the in a plane, a given a point outside the the of the a straight line and line,,
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Can only to draw a new in a straight line
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Through the this point and parallel to the and the Original line. "
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After several century, many mathematician
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Try want to use other four Postulate to prove the parallel postulate,
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But have failed.
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In this process,, they started to pay attention in the
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If the of the Fifth Postulate is is actually is wrong
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There will be what is the problem on the in the logic.
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A some of the of mathematical in the history of
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The most great a pioneer in are considered this issue,
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Such as Hatch wood (Ibn al-Haytham),
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Omar. Khayyam (Omar Khayyam),
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Is satisfied that-speed Latin. Tutsi (Nasir al-Din al-Tusi),
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A few Giovanni. Xie Kerui (Giovanni Saccheri),
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Bowyer. Janos (Janos Bolyai),
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