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This proves that all points in the intersection are the same distance from the point E in the plane P, in other words all points in the intersection lie on a circle C with center E. [5] This proves that the intersection of P and S is contained in C. Note that OE is the axis of the circle. Now consider a point D of the circle C. Since C lies in ...
The most dramatic orogenic belt on the planet is the one between the African plate and the Indo-Australian plate on one side (to the south) and the Eurasian plate on the other side (to the north).
Solar noon (i.e. the time at which the sun is highest) at one place is solar midnight at the other, the winter solstice at one place is the summer solstice at the other, and the spring equinox at one place is the fall equinox at the other. Sunrise and sunset do not quite oppose each other at antipodes due to refraction of sunlight.
A function is called odd (aka antipodal or antipode-preserving) if for every : () = ().. The Borsuk–Ulam theorem is equivalent to the following statement: A continuous odd function from an n-sphere into Euclidean n-space has a zero.
A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.
Animation of a half-turn ambigram of the word ambigram, with 180-degree rotational symmetry [1]. An ambigram is a calligraphic composition of glyphs (letters, numbers, symbols or other shapes) that can yield different meanings depending on the orientation of observation.
In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets { 1 , 2 , 3 } {\displaystyle \{1,2,3\}} and { 3 , 4 } {\displaystyle \{3,4\}} is { 1 , 2 , 4 ...
The intersection (red) of two disks (white and red with black boundaries). The circle (black) intersects the line (purple) in two points (red). The disk (yellow) intersects the line in the line segment between the two red points. The intersection of D and E is shown in grayish purple. The intersection of A with any of B, C, D, or E is the empty ...