Answer to Question #97946 in Geometry for Rachel

Question #97946
Give two definitions for both the plane and the sphere.
1
Expert's answer
2019-11-05T10:28:18-0500

A plane is a surface that completely contains each line connecting its arbitrary points;

A plane is a set of points equidistant from two given points.

Sphere, a closed surface, all points of which are equally distant from one point (the center of the sphere).

A sphere, in geometry, is a three-dimensional analogue of a circle, a geometric solid generated by the rotation of a circle around its diameter.



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