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How many axes make up a coordinate plane?
2
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
How many points make up a carat in a diamond?
One hundred points make up one carat -- usually. Specifically, carat indicates the stone's weight; that the weight is described in points is not as precise as describing its weight in carats.
Why plane is one of the terms of geometry?
The plane that geometry refers to is not an airplane. A plane is a two-dimensional group of points that goes on infinitely in all directions; made up of infinite line. For example, a rectangle is a plane.
Who came up with using the letters x and y to represent points on a coordinate plane?
Rene Descartes
