To check whether the given postulate of plane Euclidean Geometry has a corresponding statement in Spherical Geometry
Answer to Problem 7CYU
There exists a corresponding statement in Spherical Geometry for the given statement.
Explanation of Solution
Given information: The points on any line or line segment can be put into a one-to-onne correspondence with real numbers.
Formula used:
Great
We know that, a line in a plane corresponds to a great circle in a sphere.
Thus by changing the word ‘line’ to ‘great circle’ we get the resulting postulate for the given statement as:
The points on any great circle or arc greatcircle can be put into a one-to-one correspondence with real numbers.
Chapter 12 Solutions
Geometry, Student Edition
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