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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;
The triangle medians and the centroid.. In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. . Every triangle has exactly three medians, one from each vertex, and they all intersect at the triangle's cent
A triangle in which one of the angles is a right angle is a right triangle, a triangle in which all of its angles are less than that angle is an acute triangle, and a triangle in which one of it angles is greater than that angle is an obtuse triangle. [8] These definitions date back at least to Euclid. [9]
• Melinoe: Orphic nymph, daughter of Persephone and "Zeus disguised as Pluto". [45] Her name is a possible epithet of Hecate. • Minthe Cocytus River probably a daughter of Cocytus, lover of Hades and rival of Persephone [46] [47] Other nymphs: Lampades: torch bearers in the retinue of Hecate [48] Hecaterides (rustic dance)
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 ...
In geometry, Apollonius's theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. It states that the sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on the median bisecting the third side.
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In geometry, a cevian is a line segment which joins a vertex of a triangle to a point on the opposite side of the triangle. [1] [2] Medians and angle bisectors are special cases of cevians. The name "cevian" comes from the Italian mathematician Giovanni Ceva, who proved a well-known theorem about cevians which also bears his name. [3]