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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 ).
The Zodiac is an ancient circle of stars [11] where some stars are symbolically combined into 12 star signs also known as constellations. The etymology of the term Zodiac comes from the Latin zōdiacus, from the Greek ζῳδιακός [κύκλος], meaning "[circle] of animals", derived from ζῴδιον, the diminutive of ζῷον "animal".
Note that this is a cultural, rather than religious symbol. Star of Lakshmi, a Hindu symbol associated with the goddess Lakshmi; Star of Ishtar, an ancient symbol associated with the Mesopotamian goddess Ishtar; Star and crescent, an Islamic symbol; The Star (Tarot card), one of the Major Arcana; Druze star, a symbol of the Druze religion
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 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.
Symbolism Images Bats Bat (fu) Homophone for good fortune and symbol for longevity and happiness. [3] Bats flying amongst clouds Bats with Chinese character "wan"(Swastika) "Ten thousand-fold wishes for good fortune and happiness.” [3] Five bats (wufu) Wishes for the Five Blessings. [3] Red bats (hongfu) Wide spread of good fortune [3] Deer ...
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The Crown of Immortality, held by the allegorical figure Eterna (Eternity) on the Swedish House of Knights fresco by David Klöcker Ehrenstrahl. The Crown of Immortality is a literary and religious metaphor traditionally represented in art first as a laurel wreath and later as a symbolic circle of stars (often a crown, tiara, halo or aureola).