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Following is the translation by Apostolos Athanassakis and Benjamin M. Wolkow, of the hymn to Melinoe: I call upon Melinoë, saffron-cloaked nymph of the earth, whom revered Persephone bore by the mouth of the Kokytos river upon the sacred bed of Kronian Zeus. In the guise of Plouton Zeus tricked Persephone and through wiley plots bedded her;
In the simplest case, shown in the first picture, we are given a finite set of points {, …} in the Euclidean plane.In this case each site is one of these given points, and its corresponding Voronoi cell consists of every point in the Euclidean plane for which is the nearest site: the distance to is less than or equal to the minimum distance to any other site .
Melinoë is a character in the upcoming video game Hades II.She is the game's protagonist, being the sister of Hades protagonist Zagreus and daughter of its antagonist, Hades.
Here is a definition of triangle geometry from 1887: "Being given a point M in the plane of the triangle, we can always find, in an infinity of manners, a second point M' that corresponds to the first one according to an imagined geometrical law; these two points have between them geometrical relations whose simplicity depends on the more or ...
Fig 1. Construction of the first isogonic center, X(13). When no angle of the triangle exceeds 120°, this point is the Fermat point. In Euclidean geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the sum of the three distances from each of the three vertices of the triangle to the point is the smallest possible [1] or ...
A triomino tile is in the shape of an equilateral triangle approximately 1 in (2.5 cm) on each side and approximately 1 ⁄ 4 in (6.4 mm) thick. Each point of the triangle has a number (most often from 0 to 5, as in the Pressman version), [2] and each triomino has a unique combination of numbers, subject to the following restrictions:
Formally, let ABC be a triangle, with arbitrary points A´, B´ and C´ on sides BC, AC, and AB respectively (or their extensions). Draw three circumcircles (Miquel's circles) to triangles AB´C´, A´BC´, and A´B´C. Miquel's theorem states that these circles intersect in a single point M, called the Miquel point.
As a consequence of the Pythagorean theorem, the hypotenuse is the longest side of any right triangle; that is, the hypotenuse is longer than either of the triangle's legs. For example, given the length of the legs a = 5 and b = 12, then the sum of the legs squared is (5 × 5) + (12 × 12) = 169, the square of the hypotenuse.