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  2. 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 ...

  3. Möge die Straße uns zusammenführen - Wikipedia

    en.wikipedia.org/wiki/Möge_die_Straße_uns...

    Markus Pytlik wrote "Möge die Straße uns zusammenführen" in 1988, in an effort to express faith in contemporary texts and music in a genre later known as Neues Geistliches Lied (NGL). [1] He said that he returned from vacation in Ireland in 1988 with souvenirs including a postcard with the Irish travel blessing "May the road rise to meet you ...

  4. Geometry Dash - Wikipedia

    en.wikipedia.org/wiki/Geometry_Dash

    Geometry Dash Lite is a free version of the game with advertisements and gameplay restrictions. Geometry Dash Lite includes only main levels 1-19, all tower levels, and a few selected levels that are either Featured, Daily, weekly or Event levels but does not offer the option to create levels or play most player-made levels. It also has a ...

  5. Straightedge and compass construction - Wikipedia

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

    A regular n-gon has a solid construction if and only if n=2 a 3 b m where a and b are some non-negative integers and m is a product of zero or more distinct Pierpont primes (primes of the form 2 r 3 s +1). Therefore, regular n-gon admits a solid, but not planar, construction if and only if n is in the sequence

  6. Birkhoff's axioms - Wikipedia

    en.wikipedia.org/wiki/Birkhoff's_axioms

    The distance between two points A and B is denoted by d(A, B), and the angle formed by three points A, B, C is denoted by ∠ ABC. Postulate I: Postulate of line measure . The set of points { A , B , ...} on any line can be put into a 1:1 correspondence with the real numbers { a , b , ...} so that | b − a | = d ( A, B ) for all points A and B .

  7. Outline of geometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_geometry

    Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Geometry is one of the oldest mathematical sciences.

  8. Orthogonality - Wikipedia

    en.wikipedia.org/wiki/Orthogonality

    The line segments AB and CD are orthogonal to each other. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.Whereas perpendicular is typically followed by to when relating two lines to one another (e.g., "line A is perpendicular to line B"), [1] orthogonal is commonly used without to (e.g., "orthogonal lines A and B").

  9. Foundations of geometry - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_geometry

    Based on ancient Greek methods, an axiomatic system is a formal description of a way to establish the mathematical truth that flows from a fixed set of assumptions. Although applicable to any area of mathematics, geometry is the branch of elementary mathematics in which this method has most extensively been successfully applied.

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