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  2. Quadrant (plane geometry) - Wikipedia

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

    Signs of trigonometric functions in each quadrant. In the above graphic, the words in quotation marks are a mnemonic for remembering which three trigonometric functions (sine, cosine and tangent and their reciprocals) are positive in each quadrant. The expression reads "All Science Teachers Crazy" and proceeding counterclockwise from the upper ...

  3. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a) 2 + (y − b) 2 = r 2 where a and b are the coordinates of the center (a, b) and r is the radius.

  4. atan2 - Wikipedia

    en.wikipedia.org/wiki/Atan2

    atan2(y, x) returns the angle θ between the positive x-axis and the ray from the origin to the point (x, y), confined to (−π, π].Graph of ⁡ (,) over /. In computing and mathematics, the function atan2 is the 2-argument arctangent.

  5. Abscissa and ordinate - Wikipedia

    en.wikipedia.org/wiki/Abscissa_and_ordinate

    In mathematics, the abscissa (/ æ b ˈ s ɪ s. ə /; plural abscissae or abscissas) and the ordinate are respectively the first and second coordinate of a point in a Cartesian coordinate system: [1] [2] abscissa-axis (horizontal) coordinate ordinate-axis (vertical) coordinate

  6. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    The graph of a function on its own does not determine the codomain. It is common [3] to use both terms function and graph of a function since even if considered the same object, they indicate viewing it from a different perspective. Graph of the function () = over the interval [−2,+3]. Also shown are the two real roots and the local minimum ...

  7. Plotting algorithms for the Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Plotting_algorithms_for...

    Julia sets have symmetry around the origin. This means that quadrant 1 and quadrant 3 are symmetric, and quadrants 2 and quadrant 4 are symmetric. Supporting symmetry for both Mandelbrot and Julia sets requires handling symmetry differently for the two different types of graphs.

  8. 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 ...

  9. Folium of Descartes - Wikipedia

    en.wikipedia.org/wiki/Folium_of_Descartes

    It forms a loop in the first quadrant with a double point at the origin and asymptote + + =. It is symmetrical about the line y = x {\displaystyle y=x} . As such, the two intersect at the origin and at the point ( 3 a / 2 , 3 a / 2 ) {\displaystyle (3a/2,3a/2)} .