Midpoint

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Formulas

The midpoint of a segment in n-dimensional space whose endpoints are and is given by

That is, the i^th coordinate of the midpoint (i=1, 2, ..., n) is

Construction

Given two points of interest, finding the midpoint of the line segment they determine can be accomplished by a compass and straightedge construction. The midpoint of a line segment, embedded in a plane, can be located by first constructing a lens using circular arcs of equal (and large enough) radii centered at the two endpoints, then connecting the cusps of the lens (the two points where the arcs intersect). The point where the line connecting the cusps intersects the segment is then the midpoint of the segment. It is more challenging to locate the midpoint using only a compass, but it is still possible according to the Mohr-Mascheroni theorem.

Midpoint (disambiguation)

Midpoint may refer to:

See also

Screenwriting

Screenwriting, also called scriptwriting, is the art and craft of writing scripts for mass media such as feature films, television productions or video games. It is frequently a freelance profession.

Screenwriters are responsible for researching the story, developing the narrative, writing the screenplay, and delivering it, in the required format, to development executives. Screenwriters therefore have great influence over the creative direction and emotional impact of the screenplay and, arguably, of the finished film. They either pitch original ideas to producers in the hope that they will be optioned or sold, or screenwriters are commissioned by a producer to create a screenplay from a concept, true story, existing screen work or literary work, such as a novel, poem, play, comic book or short story.

Types

The act of screenwriting takes many forms across the entertainment industry. Often, multiple writers work on the same script at different stages of development with different tasks. Over the course of a successful career, a screenwriter might be hired to write in a wide variety of roles.