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Question

In the image of Earth shown, Figure ABC is an example of-


A

Euclidean Geometry

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B

Non - Euclidean Geometry

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C

Can't Say

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D

May be both.

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Solution

The correct option is B

Non - Euclidean Geometry


Non-Euclidean geometries: are any forms of geometry that contain a postulate (axiom) which is equivalent to the negation of the Euclidean parallel postulate.
This concept has a direct connection to our daily existence since we live on a curved surface called planet Earth. What effect does working on space have on geometrical truths?

In curved space, the sum of the angles of any triangle is always greater than 1800. On a sphere, there are no straight lines. As soon as you start to draw a straight line, it curves on the sphere. In curved space, the shortest distance between any two points is not unique. For example, the north and south poles of the earth are not parallel since they intersect at the poles.


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