Definition:Line/Midpoint
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Definition
Let $L = AB$ be a line segment whose endpoints are $A$ and $B$.
Let $M$ be a point on $L$ such that the line segment $AM$ is equal to the line segment $MB$.
That is, let $M$ be the bisector of $L$.
Then $M$ is the midpoint of $L$.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): midpoint
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): bisect
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): mid-point
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): bisect
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): mid-point