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  2. Hendecagon - Wikipedia

    en.wikipedia.org/wiki/Hendecagon

    Close approximations to the regular hendecagon can be constructed. For instance, the ancient Greek mathematicians approximated the side length of a hendecagon inscribed in a unit circle as being 14/25 units long. [7] The hendecagon can be constructed exactly via neusis construction [8] and also via two-fold origami. [9]

  3. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    [4] [5] [6] A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system. Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined.

  4. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    can be understood in terms of the geometry of rational points on the unit circle (Trautman 1998). In fact, a point in the Cartesian plane with coordinates (x, y) belongs to the unit circle if x 2 + y 2 = 1. The point is rational if x and y are rational numbers, that is, if there are coprime integers a, b, c such that

  5. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, [a] which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental ...

  6. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry . Analytic geometry is used in physics and engineering , and also in aviation , rocketry , space science , and spaceflight .

  7. Modern elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Modern_elementary_mathematics

    Psychology in mathematics education is an applied research domain, with many recent developments relevant to elementary mathematics. A major aspect is the study of motivation; while most young children enjoy some mathematical practices, by the age of seven to ten many lose interest and begin to experience mathematical anxiety.

  8. Enumerative geometry - Wikipedia

    en.wikipedia.org/wiki/Enumerative_geometry

    The specific needs of enumerative geometry were not addressed until some further attention was paid to them in the 1960s and 1970s (as pointed out for example by Steven Kleiman). Intersection numbers had been rigorously defined (by André Weil as part of his foundational programme 1942–6, [ 3 ] and again subsequently), but this did not ...

  9. Line (geometry) - Wikipedia

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

    In elliptic geometry we see a typical example of this. [1]: 108 In the spherical representation of elliptic geometry, lines are represented by great circles of a sphere with diametrically opposite points identified. In a different model of elliptic geometry, lines are represented by Euclidean planes passing through the origin. Even though these ...

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