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  2. Line segment - Wikipedia

    en.wikipedia.org/wiki/Line_segment

    A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry , a line segment is often denoted using an overline ( vinculum ) above the symbols for the two endpoints, such as in AB .

  3. Line (geometry) - Wikipedia

    en.wikipedia.org/wiki/Line_(geometry)

    Drawing of a line segment "AB" on the line "a" A line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its end points. Depending on how the line segment is defined, either of the two end points may or may not be part of the line segment.

  4. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...

  5. Midpoint - Wikipedia

    en.wikipedia.org/wiki/Midpoint

    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]

  6. Locus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Locus_(mathematics)

    Each curve in this example is a locus defined as the conchoid of the point P and the line l.In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

  7. Constructible number - Wikipedia

    en.wikipedia.org/wiki/Constructible_number

    The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number. In geometry and algebra, a real number is constructible if and only if, given a line segment of unit length, a line segment of length | | can be constructed with compass and straightedge in a finite number of steps.

  8. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    It can only be used to draw a line segment between two points, or to extend an existing line segment. The compass can have an arbitrarily large radius with no markings on it (unlike certain real-world compasses). Circles and circular arcs can be drawn starting from two given points: the centre and a point on the circle. The compass may or may ...

  9. Curve - Wikipedia

    en.wikipedia.org/wiki/Curve

    In Euclidean geometry, an arc (symbol: ⌒) is a connected subset of a differentiable curve. Arcs of lines are called segments , rays , or lines , depending on how they are bounded. A common curved example is an arc of a circle , called a circular arc .

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