1. Distance in Cartesian Geometry

If point A has coordinates (x1,y1) and

point B has coordinates (x2,y2), the distance
from A to B is

d(A,B) = sqrt[(x1-x2)2 + (y1-y2)2].

Hence, the distance in Cartesian geometry means the length of the hypotenuse of a right triangle.

2. Distance in Minkowski geometry.

If point A has coordinates (x1,y1)

and point B has coordinates (x2,y2), the distance from A to B is

d(A,B) = |x1-x2| + |y1-y2|.

Hence the distance in Cartesian geometry means the sum of the length of base and height of a right triangle.

3. What are the circles in Cartesian geometry and Minkowski geometry?

a. Circle in Cartesian geometry with center A
with a radius r

b. Circle in Cartesian geometry with center A
with a radius r

Click here for construction

4. Equal distance set of A and B

: the set of all points such that d(C,A) = d(C,B).

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