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  2. Hinge theorem - Wikipedia

    en.wikipedia.org/wiki/Hinge_theorem

    In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1 ...

  3. 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.

  4. List of triangle inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_triangle_inequalities

    The hinge theorem or open-mouth theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.

  5. Drinking Coffee Every Day Could Add Up to 2 Years to Your Life

    www.aol.com/drinking-coffee-every-day-could...

    Researchers found that drinking around three cups of coffee a day was associated with an extra 1.8 years of life, with regular cups also being associated with increased health span (time spent ...

  6. 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.

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

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    For every 3 non-theme words you find, you earn a hint. Hints show the letters of a theme word. If there is already an active hint on the board, a hint will show that word’s letter order.

  8. Luigi Mangione staying at same ‘barbaric’ NYC prison as Sean ...

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    Accused UnitedHealthcare CEO killer Luigi Mangione spent his first night back in the Big Apple under the same NYC federal prison as disgraced rap mogul Sean "Diddy" Combs.

  9. Converse theorem - Wikipedia

    en.wikipedia.org/wiki/Converse_theorem

    In the mathematical theory of automorphic forms, a converse theorem gives sufficient conditions for a Dirichlet series to be the Mellin transform of a modular form. More generally a converse theorem states that a representation of an algebraic group over the adeles is automorphic whenever the L-functions of various twists of it are well-behaved.

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