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Elliptical geometry is like Euclidean geometry except that the "fifth postulate" is denied. Elliptical geometry postulates that no two lines are parallel.

One example: define a point as any line through the origin. Define a line as any plane through the origin. In this system, the first four postulates of Euclidean geometry hold; through two points, there is exactly one line that contains them (i.e.: given two lines through the origin, there is one plane that contains them) and so on. However, it is nottrue that given a line and a point not on the line that there is a parallel line through the point (that is, given a plane through the origin, and a line through the origin, not on the plane, there is no other plane through the origin that is parallel to the given plane).

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Q: What is elliptical geometry and examples?
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Related questions

What is elliptical geometry?

It's pretty much geometry on a sphere

Why don't parallel lines exist in elliptical geometry?

Elliptical geometry is a non-Euclidean geometry. The parallel postulate of Euclidean geometry was replaced by the statement that through any point in the plane, there exist no lines parallel to a given line. A consistent geometry - of a space with positive curvature - was developed on that basis.It is, therefore, by definition that parallel lines do not exist in elliptical geometry.

In elliptical geometry do two points not determine a unique line?

No. In spherical elliptical geometry, for example, given the earth's North and South poles, there are an infinite number of lines of longitudes between them.

What is the examples of point in geometry?


What are Examples of a line in geometry?

door and t.v

What are examples of geometry?

Probably angles and shapes.

What are the geometry theorems in tenth grade geometry?

Here are some examples of 10th-grade geometry theorems:

What diagram correctly show that two points do not create a unique line in elliptical geometry?

booty hole popcorn kernel

What are some uses of geometry?

Geometry has many uses..... For examples construction of pryamids uses geometry... or even in construction of bridges and other enjeenering marvels.....

Which diagram correctly shows that two points do not create a unique line in elliptical geometry?

We're certain to know it as soon as we see it.

What body parts are used when using the Kettler Elliptical?

There are many body parts that are used when using the Kettler Elliptical. Examples of body parts that are used when using the Kettler Elliptical includes arms and legs.

Why do the planets go in elliptical patterns?

Because that's the way gravity works. Any more detailed answer requires a lot of calculus and geometry.