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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. List of inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_inequalities

    Kunita–Watanabe inequality; Le Cam's theorem; Lenglart's inequality; Marcinkiewicz–Zygmund inequality; Markov's inequality; McDiarmid's inequality; Paley–Zygmund inequality; Pinsker's inequality; Popoviciu's inequality on variances; Prophet inequality; Rao–Blackwell theorem; Ross's conjecture, a lower bound on the average waiting time ...

  4. NYT ‘Connections’ Hints and Answers Today, Saturday ... - AOL

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    Get ready for all of today's NYT 'Connections’ hints and answers for #552 on Saturday, December 14, 2024. Today's NYT Connections puzzle for Saturday, December 14, 2024 The New York Times

  5. 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.

  6. 6 breathing exercises to ease stress and anxiety - AOL

    www.aol.com/news/box-breathing-other-breathing...

    Breathing exercises for anxiety and stress include 4-7-8 breathing, ... 4-7-8 breathing. Sleep specialist and clinical psychologist Dr. Michael Breus previously told TODAY.com this simple ...

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

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

    We'll cover exactly how to play Strands, hints for today's spangram and all of the answers for Strands #283 on Wednesday, December 11. Related: 16 Games Like Wordle To Give You Your Word Game Fix ...

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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  9. Ptolemy's inequality - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_inequality

    For four points in order around a circle, Ptolemy's inequality becomes an equality, known as Ptolemy's theorem: ¯ ¯ + ¯ ¯ = ¯ ¯. In the inversion-based proof of Ptolemy's inequality, transforming four co-circular points by an inversion centered at one of them causes the other three to become collinear, so the triangle equality for these three points (from which Ptolemy's inequality may ...

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