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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.
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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 "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.
The NCERT logo was designed by Manubhai Chhaganlal Gajjar in 1961 at the National Institute of Design, Ahmedabad. [ 9 ] [ 10 ] The design is taken from an Ashokan period relic of the 3rd century BCE which was found in excavations near Maski in Raichur district , Karnataka .
Its attractive swaras also make it a popular raga in the Carnatic circles with a number of compositions in South India being tuned to Jaunpuri. [3] The name of the rāga may associate it with places of this name, such as Javanpur in Gujarat, close to Saurasthra region and Jaunpur in northern Uttar Pradesh. [3]
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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 ...