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In geometry, the Brocard circle (or seven-point circle) is a circle derived from a given triangle. It passes through the circumcenter and symmedian point of the triangle, and is centered at the midpoint of the line segment joining them (so that this segment is a diameter ).
Brocard's most well-known contributions to mathematics are the Brocard points, the Brocard circle, and the Brocard triangle. The positive Brocard point (sometimes known as the first Brocard point) of a Euclidean plane triangle is the interior point of the triangle for which the three angles formed by two of the vertices and the point are equal.
The protagonist of Stardust Crusaders, Jotaro Kujo, has a Stand named Star Platinum, named after the Star card. [9] In the Adventure Time franchise, powerful vampires are named after tarot cards. In the spin-off series Adventure Time: Fionna and Cake, Marceline the Vampire Queen (voiced by Olivia Olson) is named after the Star. [10]
The Brocard points are an example of a bicentric pair of points, but they are not triangle centers because neither Brocard point is invariant under similarity transformations: reflecting a scalene triangle, a special case of a similarity, turns one Brocard point into the other.
The card pictured is the Wheel Of Fortune card from the Rider–Waite tarot deck. A.E. Waite was a key figure in the development of the tarot in line with the Hermetic magical-religious system which was also being developed at the time, [1] and this deck, as well as being in common use today, also forms the basis for a number of other modern ...
today's connections game answers for wednesday, december 11, 2024: 1. utopia: paradise, seventh heaven, shangri-la, xanadu 2. things you shake: hairspray, magic 8 ...
Brocard can refer to: Brocard (law) Henri Brocard, a nineteenth-century mathematician, and these geometrical entities he discovered: Brocard points; Brocard triangle; Brocard circle; Saint Brocard, first of the priors of the Carmelite Order according to oral tradition
Alcohol is used as a social lubricant, maybe more so as holiday festivities approach. But drinking carries health and other risks. Here are five tips to make it safer.
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