Question

How does a globe represent the fact that there are no parallel lines in elliptical geometry? A. The equator is not parallel to any other latitudinal lines. B. The north and south poles are never connected by a geodesic. C. The geodesics connecting the Nortj and South poles never intersect. D. The geodesics connecting the north and south poles intersect at both of the poles.

Answer 1

The answer is Option D, option D is correct.

Answer 2

The correct option is;

D. The geodesics connecting the North as South poles intersect at both of the poles

Explanation:

As an analog to the straight line, the geodesic of a curved surface is the shortest path between two points on the curved surface

Whereby the Earth is assumed to be spherical, the geodesics around the Earth would then be closed circles and like the longitude and latitude, will meet at the North and South poles

However given that the Earth is an Oblate ellipsoid, Euclid's parallel postulate is not in effect and the geodesics connecting the North and South Poles Intersect at both poles.