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Live Geometry is a free CodePlex project that lets you create interactive ruler and compass constructions and experiment with them. It is written in Silverlight 4 and C# 4.0 (Visual Studio 2010). The core engine is a flexible and extensible framework that allows easy addition of new figure types and features.
Assetto Corsa Competizione (Italian for "race setup", "competition") is a sim racing video game developed by Italian video game developer Kunos Simulazioni.The game focuses on GT3, GT4, GT2 and one make series cars and is an officially licensed simulation of the GT World Challenge Europe and the Total 24 Hours of Spa covering seasons from 2018 to 2023, and is set to serve as a platform for ...
In its 2015 review of the PC version, British automobile magazine Evo highlights Assetto Corsa's physics, writing that "some aspects that other games barely touch on, such as tyre deformation and accurate friction models, are impressively accurate", and concludes: "What Assetto Corsa neatly demonstrates is the variety available in the racing ...
For the set , …, numbers to sort consider the set (,), …, (,) of points in the plane. Since they lie on a parabola , which is a convex curve , it is easy to see that the vertices of the convex hull, when traversed along the boundary, produce the sorted order of the numbers x 1 , … , x n {\displaystyle x_{1},\dots ,x_{n}} .
Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2,3) in green, (−3,1) in red, (−1.5,−2.5) in blue, and the origin (0,0) in purple. In analytic geometry, the plane is given a coordinate system, by which every point has a pair of real number coordinates.
A Cartesian coordinate surface in this space is a coordinate plane; for example z = 0 defines the x-y plane. In the same space, the coordinate surface r = 1 in spherical coordinates is the surface of a unit sphere, which is curved. The formalism of curvilinear coordinates provides a unified and general description of the standard coordinate ...
A point in the plane may be represented in homogeneous coordinates by a triple (x, y, z) where x/z and y/z are the Cartesian coordinates of the point. [10] This introduces an "extra" coordinate since only two are needed to specify a point on the plane, but this system is useful in that it represents any point on the projective plane without the ...
In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .