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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. Spiral of Theodorus - Wikipedia

    en.wikipedia.org/wiki/Spiral_of_Theodorus

    The spiral is started with an isosceles right triangle, with each leg having unit length.Another right triangle (which is the only automedian right triangle) is formed, with one leg being the hypotenuse of the prior right triangle (with length the square root of 2) and the other leg having length of 1; the length of the hypotenuse of this second right triangle is the square root of 3.

  4. Hinged dissection - Wikipedia

    en.wikipedia.org/wiki/Hinged_dissection

    A twist-hinge dissection is one which use a three-dimensional "hinge" which is placed on the edges of pieces rather than their vertices, allowing them to be "flipped" three-dimensionally. [ 10 ] [ 11 ] As of 2002, the question of whether any two polygons must have a common twist-hinged dissection remains unsolved.

  5. Theodorus of Cyrene - Wikipedia

    en.wikipedia.org/wiki/Theodorus_of_Cyrene

    Theodorus' work is known through a sole theorem, which is delivered in the literary context of the Theaetetus and has been argued alternately to be historically accurate or fictional. [1] In the text, his student Theaetetus attributes to him the theorem that the square roots of the non-square numbers up to 17 are irrational:

  6. Angle bisector theorem - Wikipedia

    en.wikipedia.org/wiki/Angle_bisector_theorem

    The theorem states for any triangle ∠ DAB and ∠ DAC where AD is a bisector, then | |: | | = | |: | |. In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths ...

  7. Give Your Hinge Matches Something to Respond to With These ...

    www.aol.com/lifestyle/95-hinge-prompt-answers...

    The app allows you to display three Hinge prompt answers, with a myriad of options to choose from (including voice and video prompts!). These range from funny, to deep, to nerdy. The challenge is ...

  8. Category:Theorems about triangles - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_about...

    Hinge theorem; J. Jacobi's theorem (geometry) L. Law of cosines; Law of cotangents; Law of sines; Law of tangents; M. Marden's theorem; Maxwell's theorem (geometry ...

  9. Michael Zegen and Heléne Yorke Answer Real Hinge ... - AOL

    www.aol.com/lifestyle/michael-zegen-hel-ne-yorke...

    Michael Zegen and Heléne Yorke Answer Real Hinge Prompts for Off-Broadway's “Strategic Love Play”: 'It’s Embarrassing' Madeleine Janz. November 14, 2024 at 10:01 AM.