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  2. Quadrant (plane geometry) - Wikipedia

    en.wikipedia.org/wiki/Quadrant_(plane_geometry)

    The expression reads "All Science Teachers Crazy" and proceeding counterclockwise from the upper right quadrant, we see that "All" functions are positive in quadrant I, "Science" (for sine) is positive in quadrant II, "Teachers" (for tangent) is positive in quadrant III, and "Crazy" (for cosine) is positive in quadrant IV.

  3. Pasteur's quadrant - Wikipedia

    en.wikipedia.org/wiki/Pasteur's_quadrant

    Pasteur's quadrant is a classification of scientific research projects that seek fundamental understanding of scientific problems, while also having immediate use for society. Louis Pasteur 's research is thought to exemplify this type of method, which bridges the gap between " basic " and " applied " research. [ 1 ]

  4. Quadrant (instrument) - Wikipedia

    en.wikipedia.org/wiki/Quadrant_(instrument)

    The astrolabe/almucantar quadrant – a quadrant developed from the astrolabe: This quadrant was marked with one half of a typical astrolabe plate as astrolabe plates are symmetrical. A cord attached from the centre of the quadrant with a bead at the other end was moved to represent the position of a celestial body (sun or a star).

  5. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    The quadrants may be named or numbered in various ways, but the quadrant where all coordinates are positive is usually called the first quadrant. If the coordinates of a point are ( x , y ) , then its distances from the X -axis and from the Y -axis are | y | and | x |, respectively; where | · | denotes the absolute value of a number.

  6. Projective geometry - Wikipedia

    en.wikipedia.org/wiki/Projective_geometry

    (M1) at most dimension 0 if it has no more than 1 point, (M2) at most dimension 1 if it has no more than 1 line, (M3) at most dimension 2 if it has no more than 1 plane, and so on. It is a general theorem (a consequence of axiom (3)) that all coplanar lines intersect—the very principle that projective geometry was originally intended to embody.

  7. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.

  8. Euler angles - Wikipedia

    en.wikipedia.org/wiki/Euler_angles

    The axes of the original frame are denoted as x, y, z and the axes of the rotated frame as X, Y, Z.The geometrical definition (sometimes referred to as static) begins by defining the line of nodes (N) as the intersection of the planes xy and XY (it can also be defined as the common perpendicular to the axes z and Z and then written as the vector product N = z × Z).

  9. Polar coordinate system - Wikipedia

    en.wikipedia.org/wiki/Polar_coordinate_system

    A quadratrix in the first quadrant (x, y) is a curve with y = ρ sin θ equal to the fraction of the quarter circle with radius r determined by the radius through the curve point. Since this fraction is 2 r θ π {\displaystyle {\frac {2r\theta }{\pi }}} , the curve is given by ρ ( θ ) = 2 r θ π sin ⁡ θ {\displaystyle \rho (\theta ...