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- Between two points there is one straight line.
- A straight line may be extended to any finite length.
- Any circle can be described by the location of its center and the length of its radius.
- All right angles are equal.
- Given a line and a point not on the line, there is exactly one line parallel to that line.

Q: What are the postulates of Euclidean geometry?

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The axioms are not postulates.

False cuh

One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.

The geometry of similarity in the Euclidean plane or Euclidean space.

true

Related questions

The axioms are not postulates.

False

Answer The two commonly mentioned non-Euclidean geometries are hyperbolic geometry and elliptic geometry. If one takes "non-Euclidean geometry" to mean a geometry satisfying all of Euclid's postulates but the parallel postulate, these are the two possible geometries.

false

compass and straightedge

No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.

No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.

The ruler placement postulate is the third postulate in a set of principles (postulates, axioms) adapted for use in high schools concerning plane geometry (Euclidean Geometry).

False cuh

In Euclidean geometry, yes.In Euclidean geometry, yes.In Euclidean geometry, yes.In Euclidean geometry, yes.

One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.

One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.