How do you find a point equidistant from three points?

shape of a pyramid

For three points, (x1,y1), (x2,y2) & (x3,y3), you can set up 3 distance equations with variables x, y & z: z^2 = (x-x1)^2 + (y-y1)^2 z^2 = (x-x2)^2 + (y-y2)^2 z^2 = (x-x3)^2 + (y-y3)^2 3...

In spherical geometry we look at the globe as the sphere S^2. Any plane intersecting the sphere will create a great circle. Now if you take any point on the globe and reflect it across that...

Bisect two arcs above and below the given points or line and the perpendicular of these arcs cuts through the midpoint.

-- Draw a line segment from one point to the other. -- Construct the perpendicular bisector of the line segment.. -- Every point on the perpendicular bisector of the line segment is equidistant from...