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  2. The Expanding Circle - Wikipedia

    en.wikipedia.org/wiki/The_Expanding_Circle

    The Expanding Circle's longest chapter concerns the relationship between reason and ethics. [2] Singer discusses the relationship between biological capacity for altruism and morality. He argues that altruism, when directed to one's small circle of family, tribe or even nation, is not moral, but it becomes so when applied to wider circles.

  3. Hoberman mechanism - Wikipedia

    en.wikipedia.org/wiki/Hoberman_mechanism

    Multiple of these linkages can be joined together at the ends of the angulated bars by more revolute joints, expanding radially to make circle shaped mechanisms. The mechanism is a GAE (generalize angulated element) where the coupler curve is a radial straight line. [ 2 ]

  4. Moral circle expansion - Wikipedia

    en.wikipedia.org/wiki/Moral_circle_expansion

    Moral circle expansion is an increase over time in the number and type of entities given moral consideration. [1] The general idea of moral inclusion was discussed by ancient philosophers and since the 19th century has inspired social movements related to human rights and animal rights.

  5. Hoberman sphere - Wikipedia

    en.wikipedia.org/wiki/Hoberman_sphere

    A Hoberman Sphere at the National Museum of American History Second largest Hoberman sphere in the world, undergoing maintenance at Liberty Science Center. A Hoberman sphere is a kinetic structure patented by Chuck Hoberman that resembles a geodesic dome, but is capable of folding down to a fraction of its normal size by the scissor-like action of its joints.

  6. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    Consider the great circle that contains the side BC. This great circle is defined by the intersection of a diametral plane with the surface. Draw the normal to that plane at the centre: it intersects the surface at two points and the point that is on the same side of the plane as A is (conventionally) termed the pole of A and it is denoted by A'.

  7. 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.

  8. Gnomonic projection - Wikipedia

    en.wikipedia.org/wiki/Gnomonic_projection

    Gnomonic projection of a portion of the north hemisphere centered on the geographic North Pole The gnomonic projection with Tissot's indicatrix of deformation. A gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection at the sphere's center, onto any plane not passing through the center, most commonly ...

  9. Wikipedia : Manual of Style/Mathematics

    en.wikipedia.org/wiki/Wikipedia:Manual_of_Style/...

    In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane. The lead section should include, when appropriate: Historical motivation, including names and dates, especially if the article does not have a "History" section. The origin of the subject's name should be explained if it ...

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