Midpoint

The midpoint (also known as class mark in relation to histogram) is the middle point of a line segment. It is equidistant from both endpoints. The formula for determining the midpoint of a segment in the plane, with endpoints $(x\_1,\; y\_1)$ and $(x\_2,\; y\_2)$ is

$left(tfrac\{x\_1\; +\; x\_2\}\{2\},\; tfrac\{y\_1\; +\; y\_2\}\{2\}right).$

In three-dimensional Cartesian space, the midpoint formula is

$M=left(tfrac\{x\_1\; +\; x\_2\}\{2\},\; tfrac\{y\_1\; +\; y\_2\}\{2\},\; tfrac\{z\_1\; +\; z\_2\}\{2\}right).$

See also

• Median (geometry)
• Segment bisector
• Numerical Integration

External links

• Animation - showing the characteristics of the midpoint of a line segment