# Focus

In geometry, the term center point is closely related to the concept of the geometric center of gravity . Last but not least, it is used in the following contexts:

## Description by coordinates

### route

Is the end point and the starting point of a route is known, it can be the coordinates of the center point on the relationships , or in addition at a distance in space with determined. ${\ displaystyle \ mathrm {x_ {m} = {\ frac {x_ {1} + x_ {2}} {2}}}}$${\ displaystyle \ mathrm {y_ {m} = {\ frac {y_ {1} + y_ {2}} {2}}}}$${\ displaystyle \ mathrm {z_ {m} = {\ frac {z_ {1} + z_ {2}} {2}}}}$

### Circle / sphere

If a circular equation of the form is given, the coordinates of the center point can be specified directly via . In a ball, the equation is added to the Z-axis: . The center is thus . ${\ displaystyle \ mathrm {r ^ {2} = (xa) ^ {2} + (yb) ^ {2}} \,}$${\ displaystyle \ mathrm {M (a, b)} \,}$${\ displaystyle \ mathrm {r ^ {2} = (xa) ^ {2} + (yb) ^ {2}} + (zc) ^ {2} \,}$${\ displaystyle \ mathrm {M (a, b, c)} \,}$