Linked from

The 15 pages that link to Midpoint, each with the reason it gives.

• Bisection methodRelated: Each iteration tests the midpoint and divides the current bracket into equal halves.

• Perpendicular bisectorRelated: The line crosses the segment at this defining point.

• Line segmentBroader topic: A segment’s midpoint marks its exact halfway position.

• Nine-point circleNarrower topic: Three side midpoints and three vertex–orthocenter midpoints lie on the circle.

• Sierpiński triangleRelated: Joining the side midpoints identifies the central triangle removed at each stage.

• Euler's quadrilateral theoremRelated: The correction term is four times the squared distance between the two diagonal midpoints.

• Mazur–Ulam theoremBroader topic: Preserving midpoints is the key intermediate conclusion of the theorem.

• Apollonius's theoremRelated: The median ends at the midpoint, so the opposite side is split into equal lengths.

• British flag theoremRelated: The rectangle’s center is the common midpoint of both diagonals.

• Butterfly theoremNarrower topic: Both the given chord and the segment between chord midpoints are bisected.

• Finsler–Hadwiger theoremRelated: Square centers lie at the midpoints of their diagonals.

• Midpoint theoremNarrower topic: The theorem begins by selecting the halfway point on each of two triangle sides.

• Segment Addition PostulateBroader topic: Applying segment addition to a midpoint gives two equal parts whose sum is the whole.

• Droz-Farny line theoremNarrower topic: The theorem’s collinearity concerns the midpoints of four segments.

• Levinson's inequalityRelated: Each comparison pairs one argument below this point with another the same distance above it.