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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. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    Using the law of cosines avoids this problem: within the interval from 0° to 180° the cosine value unambiguously determines its angle. On the other hand, if the angle is small (or close to 180°), then it is more robust numerically to determine it from its sine than its cosine because the arc-cosine function has a divergent derivative at 1 ...

  4. 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.

  5. Try these three expert-approved techniques to help your dog ...

    www.aol.com/try-three-expert-approved-techniques...

    1. Luring “This is where you have a treat in your hand and you use it to guide your dog into specific positions,” explains DeWillems. “Luring can be pretty easy for most people and dogs to ...

  6. US Supreme Court tosses case involving securities fraud suit ...

    www.aol.com/news/us-supreme-court-tosses-case...

    The U.S. Supreme Court sidestepped on Friday a decision on whether to allow shareholders to proceed with a securities fraud lawsuit accusing Meta's Facebook of misleading investors about the ...

  7. Sister Refuses to Allow Brother’s Emotional Support Goat in ...

    www.aol.com/sister-refuses-allow-brother...

    A 30-year-old woman finds herself seeking support on Reddit after her brother asked her to allow his emotional support goat, Clover, to stay at her home — and she refused his request.

  8. 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.

  9. Health Officials Investigating Possible Link Between Ozempic ...

    www.aol.com/health-officials-investigating...

    Health officials in Europe are investigating Ozempic and the trendy drug’s possible link to an eye-rotting condition that causes blindness. On Dec. 17, the European Medicines Agency announced ...

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