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Discuss or reflect on the similarities and differences between this definition and how you think of a circle. What are the similarities to the definition of parallel lines? Why is "in the plane" important here, too? Other interesting questions you may want to contemplate: What is the set of all the points in space equidistant from a given point? (a sphere) What is the set of all points in a plane equidistant from a given point not in the plane? (a circle, and the center of the circle is the projection of that point onto the plane along a perpendicular line)
<< back to Part C: Circles
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