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  2. Peirce quincuncial projection - Wikipedia

    en.wikipedia.org/wiki/Peirce_quincuncial_projection

    The maturation of complex analysis led to general techniques for conformal mapping, where points of a flat surface are handled as numbers on the complex plane.While working at the United States Coast and Geodetic Survey, the American philosopher Charles Sanders Peirce published his projection in 1879, [2] having been inspired by H. A. Schwarz's 1869 conformal transformation of a circle onto a ...

  3. Stereographic projection - Wikipedia

    en.wikipedia.org/wiki/Stereographic_projection

    Specifically, stereographic projection from the north pole (0,1) onto the x-axis gives a one-to-one correspondence between the rational number points (x, y) on the unit circle (with y ≠ 1) and the rational points of the x-axis. If (⁠ m / n ⁠, 0) is a rational point on the x-axis, then its inverse stereographic projection is the point

  4. Spherical circle - Wikipedia

    en.wikipedia.org/wiki/Spherical_circle

    A circle with non-zero geodesic curvature is called a small circle, and is analogous to a circle in the plane. A small circle separates the sphere into two spherical disks or spherical caps, each with the circle as its boundary. For any triple of distinct non-antipodal points a unique small circle passes through all three.

  5. Map projection - Wikipedia

    en.wikipedia.org/wiki/Map_projection

    [1] [2] [3] In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. [4] [5] Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography.

  6. Orthographic map projection - Wikipedia

    en.wikipedia.org/wiki/Orthographic_map_projection

    They are written in terms of longitude (λ) and latitude (φ) on the sphere. Define the radius of the sphere R and the center point (and origin) of the projection (λ 0, φ 0). The equations for the orthographic projection onto the (x, y) tangent plane reduce to the following: [1]

  7. Spherical conic - Wikipedia

    en.wikipedia.org/wiki/Spherical_conic

    In mathematics, a spherical conic or sphero-conic is a curve on the sphere, the intersection of the sphere with a concentric elliptic cone. It is the spherical analog of a conic section ( ellipse , parabola , or hyperbola ) in the plane, and as in the planar case, a spherical conic can be defined as the locus of points the sum or difference of ...

  8. n-sphere - Wikipedia

    en.wikipedia.org/wiki/N-sphere

    The stereographic projection maps the ⁠ ⁠-sphere onto ⁠ ⁠-space with a single adjoined point at infinity; under the metric thereby defined, {} is a model for the ⁠ ⁠-sphere. In the more general setting of topology , any topological space that is homeomorphic to the unit ⁠ n {\displaystyle n} ⁠ -sphere is called an ⁠ n ...

  9. List of map projections - Wikipedia

    en.wikipedia.org/wiki/List_of_map_projections

    Cylindrical equal-area projection with standard parallels at 30°N/S and an aspect ratio of (3/4)π ≈ 2.356. 2002 Hobo–Dyer: Cylindrical Equal-area Mick Dyer: Cylindrical equal-area projection with standard parallels at 37.5°N/S and an aspect ratio of 1.977. Similar are Trystan Edwards with standard parallels at 37.4° and Smyth equal ...

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