3 ms·
> it's the set of all points in a plane that are equidistant from two particular distinct fixed points I don't like that definition as how do you determine the
by ndsipa_pomu 3y ago
> it's the set of all points in a plane that are equidistant from two particular distinct fixed points
I don't like that definition as how do you determine the distance from a fixed point without using a line?
> it's the shortest path between two points, if you extend it to be infinitely long
That's probably a better definition
- nh23423fefe 3y agoYou use the metric to the measure the distance. the Euclidian metric is the standard sum of squares. for any pair of points P you can construct a pair of spheres centered on P1 and P2 and take the intersection to find points on the line.