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  2. Circumcircle - Wikipedia

    en.wikipedia.org/wiki/Circumcircle

    The circumcenter is the point of intersection between the three perpendicular bisectors of the triangle's sides, and is a triangle center. More generally, an n -sided polygon with all its vertices on the same circle, also called the circumscribed circle, is called a cyclic polygon , or in the special case n = 4 , a cyclic quadrilateral .

  3. House of Love (Dottie West song) - Wikipedia

    en.wikipedia.org/wiki/House_of_Love_(Dottie_West...

    "House of Love" is a song written by Kenny O'Dell, and recorded by American country music artist Dottie West. It was released in June 1974 as the second single and title track from the album House of Love. The song reached the top 30 on the US country charts. It was given positive reviews following its release.

  4. Euler's theorem in geometry - Wikipedia

    en.wikipedia.org/wiki/Euler's_theorem_in_geometry

    In geometry, Euler's theorem states that the distance d between the circumcenter and incenter of a triangle is given by [1] [2] = or equivalently + + =, where and denote the circumradius and inradius respectively (the radii of the circumscribed circle and inscribed circle respectively).

  5. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    If a cyclic quadrilateral is also orthodiagonal, the distance from the circumcenter to any side equals half the length of the opposite side. [23] In a cyclic orthodiagonal quadrilateral, the distance between the midpoints of the diagonals equals the distance between the circumcenter and the point where the diagonals intersect. [23]

  6. Triangle center - Wikipedia

    en.wikipedia.org/wiki/Triangle_center

    This invariance is the defining property of a triangle center. It rules out other well-known points such as the Brocard points which are not invariant under reflection and so fail to qualify as triangle centers. For an equilateral triangle, all triangle centers coincide at its centroid. However the triangle centers generally take different ...

  7. How to Be a Good House Guest: 9 Etiquette Rules to Follow ...

    www.aol.com/lifestyle/good-house-guest-5...

    The holiday season often means packing up the car or booking a flight to visit loved ones. Whether visiting friends in a different city gathering for Christmas with family, it is typical to be a ...

  8. Audience with the Mind - Wikipedia

    en.wikipedia.org/wiki/Audience_with_the_Mind

    Audience With the Mind was recorded following the departure of the band’s third successive lead guitarist in three years, Simon Mawby. This resulting in group leader Guy Chadwick recording most of the album’s guitar parts himself (although Sean O'Hagan of The High Llamas provided additional acoustic and slide guitars).

  9. Proposed U.S. House rules package includes unrelated GOP ...

    www.aol.com/proposed-u-house-rules-package...

    (The Center Square) – Republicans have released a new House rules package for the incoming 119th Congress that is packed with political wishlist items. It would also make ousting the House ...