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The synthetic affine definition of the midpoint M of a segment AB is the projective harmonic conjugate of the point at infinity, P, of the line AB. That is, the point M such that H[A,B; P,M]. [6] When coordinates can be introduced in an affine geometry, the two definitions of midpoint will coincide. [7]
The Math Images Project is a wiki collaboration between Swarthmore College, the Math Forum at Drexel University, and the National Science Digital Library. The project aims to introduce the public to mathematics through beautiful and intriguing images found throughout the fields of math.
Bay Area Math Olympiad; Berkeley Math Tournament; Lawrence Livermore National Laboratories Annual High School Math Challenge; Cal Poly Math Contest and Trimathlon ; Polya Competition; Bay Area Math Meet; College of Creative Studies Math Competition; LA Math Cup; Math Day at the Beach hosted by CSULB; Math Field Day for San Diego Middle Schools
The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow"). More generally, a chord is a line segment joining two points on any curve, for instance, on an ellipse. A chord that passes through a circle's center point is the circle's diameter.
In geometry, the midpoint polygon of a polygon P is the polygon whose vertices are the midpoints of the edges of P. [ 1 ] [ 2 ] It is sometimes called the Kasner polygon after Edward Kasner , who termed it the inscribed polygon "for brevity".
Conway's Game of Life is a cellular automaton devised by the British mathematician John Horton Conway in 1970. The "game" is a zero-player game , meaning that its evolution is determined by its initial state, requiring no further input from humans.
In 2007, Mathcounts launched the National Math Club as a noncompetitive alternative to the Competition Series. In 2011, Mathcounts launched the Math Video Challenge Program, which was discontinued in 2023. [6] [1] 2020 was the only year since 1984 in which a national competition was not held, due to the COVID-19 pandemic.
The midpoint of a line segment divides it internally in the ratio :. Applying the Section formula for internal division: [4] [5] = (+, +) Derivation = ...