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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.
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.
Ptolemy used a circle of diameter 120, and gave chord lengths accurate to two sexagesimal (base sixty) digits after the integer part. [2] The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle.
The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.
The circle defined by this slice will be very small, corresponding to the small angle of the rotation. As the rotation angles become larger, the slice moves in the negative z direction, and the circles become larger until the equator of the sphere is reached, which will correspond to a rotation angle of 180 degrees. Continuing southward, the ...
Self-expansion motives can explain why people may appreciate intergroup contact, however, it can also provide explanations for why we avoid this intergroup contact. People may be cautious of self-expansion due to a sense of self-loss. As we self-expand in one area we may put ourselves at risk of losing aspects of the self in another area.
An arc of a circle with the same length as the radius of that circle corresponds to an angle of 1 radian. A full circle corresponds to a full turn, or approximately 6.28 radians, which is expressed here using the Greek letter tau (τ). Some special angles in radians, stated in terms of 𝜏. A comparison of angles expressed in degrees and radians.
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 ...