《歐氏幾何的五條公理》(Euclidean geometry’s 5 self-evident axioms)

唐宋韻 (2023-11-21 22:46:42) 評論 (0)

歐幾裏得幾何的五條公理 —

**從一點向另一點可以引一條直線。

**任何線段都能向兩邊無限延伸成一條直線。

**任何給定的線段,均可以其一個端點為圓心,以該線段作為半徑做一個圓。

**所有直角都相等。

**通過直線以外的一個點,存在且僅存在一條與該直線平行的直線。

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Euclidean geometry’s 5 self-evident axioms:

1. A straight line may be drawn between any two points.
2. Any terminated straight line may be extended indefinitely.
3. A circle may be drawn with any given point as center and any given radius.
4. All right angles are equal.

5. For any given point not on a given line, there is exactly one line through the point that does not meet the given line.

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