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[1] [2] The play's title refers to Dante Alighieri's Inferno—in which Dante navigates a descent into the "nine circles of hell". In Cain's play, Green passes through his discharge from the Army and various judicial and administrative procedures, roughly paralleling the nine circles of Dante's Inferno. Cain structured the play so other cast ...
The deeper levels are organised into one circle for violence (Circle 7) and two circles for fraud (Circles 8 and 9). As a Christian, Dante adds Circle 1 (Limbo) to Upper Hell and Circle 6 (Heresy) to Lower Hell, making 9 Circles in total; incorporating the Vestibule of the Futile, this leads to Hell containing 10 main divisions. [26] This "9+1 ...
Dante's Hell is divided into nine circles, the ninth circle being divided further into four rings, their boundaries only marked by the depth of their sinners' immersion in the ice; Satan sits in the last ring, Judecca. It is in the fourth ring of the ninth circle, where the worst sinners, the betrayers to their benefactors, are punished.
The nine-point circles are all congruent with a radius of half that of the cyclic quadrilateral's circumcircle. The nine-point circles form a set of four Johnson circles. Consequently, the four nine-point centers are cyclic and lie on a circle congruent to the four nine-point circles that is centered at the anticenter of the cyclic quadrilateral.
Four concentric magic circles with 9 in the center (by Yang Hui), where numbers on each circle and diameter around the center generate a magic sum of 138. There are nine Heegner numbers , or square-free positive integers n {\displaystyle n} that yield an imaginary quadratic field Q [ − n ] {\displaystyle \mathbb {Q} \left[{\sqrt {-n}}\right ...
A triangle showing its circumcircle and circumcenter (black), altitudes and orthocenter (red), and nine-point circle and nine-point center (blue) In geometry , the nine-point center is a triangle center , a point defined from a given triangle in a way that does not depend on the placement or scale of the triangle.
Another argument for the impossibility of circular realizations, by Helge Tverberg, uses inversive geometry to transform any three circles so that one of them becomes a line, making it easier to argue that the other two circles do not link with it to form the Borromean rings. [27] However, the Borromean rings can be realized using ellipses. [2]
A circle bounds a region of the plane called a disc. The circle has been known since before the beginning of recorded history. Natural circles are common, such as the full moon or a slice of round fruit. The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern