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To find a point equidistant from three other points, construct perpendicular bisectors for two of the segments formed from three points.
Note: this will be the center of the circle that has all three points on it's circumference.
Three points, not in a straight line, form three pairs of points with each pair defining a different line.
Take any pair of points and draw the perpendicular bisector of the line joining them. Repeat for one of the other pairs.
These two perpendicular bisectors will meet at the point which is equidistant from all three points - the circumcenter of the triangle formed by the three points.
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How do you place four points equidistant from each other?
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
What is a three-dimensional figure with all points equidistant from a single point?
The surface of a sphere is defined in that manner.
How could you describe a cylinder?
A three-dimentional shape at all points equidistant from a straight line.
For a point to be between two other points the three points must be?
They must be collinear.
When three points lie on a line one point is called?
If three points all lie on the same line, then the points are said to be "collinear". This is also true if the slope from each point to the next is the same.
