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By definition, the word "collinear" means that the points lie in a LINE. The precise manner of line you are talking about depends upon the geometric frame of reference you are using. For example, in Euclidean geometry a line defined by two points is usually taken to be "straight" like the intersection of two planes; but in Global geometry such as the reality of the Earth's surface, a line defined by two points is curved. If you fly from New York to Tokyo, your line of flight is nearly a semicircle; we do not have the technology to travel "straight" from New York to Tokyo through the Earth's core.

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Q: The set of all points collinear to two points is a?
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