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  2. Hinge theorem - Wikipedia

    en.wikipedia.org/wiki/Hinge_theorem

    The hinge theorem holds in Euclidean spaces and more generally in simply connected non-positively curved space forms.. It can be also extended from plane Euclidean geometry to higher dimension Euclidean spaces (e.g., to tetrahedra and more generally to simplices), as has been done for orthocentric tetrahedra (i.e., tetrahedra in which altitudes are concurrent) [2] and more generally for ...

  3. Pons asinorum - Wikipedia

    en.wikipedia.org/wiki/Pons_asinorum

    The pons asinorum in Oliver Byrne's edition of the Elements [1]. In geometry, the theorem that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (/ ˈ p ɒ n z ˌ æ s ɪ ˈ n ɔːr ə m / PONZ ass-ih-NOR-əm), Latin for "bridge of asses", or more descriptively as the isosceles triangle theorem.

  4. Lune of Hippocrates - Wikipedia

    en.wikipedia.org/wiki/Lune_of_Hippocrates

    The lune of Hippocrates is the upper left shaded area. It has the same area as the lower right shaded triangle. In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle.

  5. Today’s NYT ‘Strands’ Hints, Spangram and Answers for Sunday ...

    www.aol.com/today-nyt-strands-hints-spangram...

    According to the New York Times, here's exactly how to play Strands: Find theme words to fill the board. Theme words stay highlighted in blue when found.

  6. Joe Biden turns 82 years old, a first for a sitting US president

    www.aol.com/news/joe-biden-turns-82-years...

    Family, friends and colleagues, including first lady Jill Biden and former President Barack Obama, paid tribute to the Democrat on social media. "Happy birthday to my dear friend and our ...

  7. College Football Playoff: Ranking the potential upsets in the ...

    www.aol.com/ranking-potential-upsets-college...

    2. #10 Indiana at #7 Notre Dame Line: Notre Dame -7.5 The potential: In one way, Indiana has already won The Battle for the Hoosier State, just by forcing Notre Dame to acknowledge its existence.

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