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0 pointsndsipa_pomu2y ago0 comments

> 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

0 comments

You 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.

j / k navigate · click thread line to collapse

0 pointsndsipa_pomu2y ago0 comments

> 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

You 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.

j / k navigate · click thread line to collapse