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  2. Kawasaki's theorem - Wikipedia

    en.wikipedia.org/wiki/Kawasaki's_theorem

    [10] [11] Huffman included the result in a 1976 paper on curved creases, [12] and Husimi published the four-crease theorem in a book on origami geometry with his wife Mitsue Husimi. [13] The same result was published even earlier, in a pair of papers from 1966 by S. Murata that also included the six-crease case and the general case of Maekawa's ...

  3. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    [9] [10] The proposition showed that since both of a pair of vertical angles are supplementary to both of the adjacent angles, the vertical angles are equal in measure. According to a historical note, [ 10 ] when Thales visited Egypt, he observed that whenever the Egyptians drew two intersecting lines, they would measure the vertical angles to ...

  4. Thales's theorem - Wikipedia

    en.wikipedia.org/wiki/Thales's_theorem

    As stated above, Thales's theorem is a special case of the inscribed angle theorem (the proof of which is quite similar to the first proof of Thales's theorem given above): Given three points A, B and C on a circle with center O, the angle ∠ AOC is twice as large as the angle ∠ ABC. A related result to Thales's theorem is the following:

  5. Gimbal lock - Wikipedia

    en.wikipedia.org/wiki/Gimbal_lock

    It is possible to imagine an airplane rotated by the above-mentioned Euler angles using the X-Y-Z convention. In this case, the first angle - is the pitch. Yaw is then set to and the final rotation - by - is again the airplane's pitch. Because of gimbal lock, it has lost one of the degrees of freedom - in this case the ability to roll.

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  7. NFL hot seat rankings: Which coaches are in most trouble ...

    www.aol.com/nfl-hot-seat-rankings-coaches...

    Several coaches are squarely on the NFL hot seat entering Week 18, with Mike McCarthy and Brian Daboll among those facing uncertain futures.

  8. Ptolemy's theorem - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_theorem

    Copernicus (1543) De Revolutionibus Orbium Coelestium, English translation found in On the Shoulders of Giants (2002) edited by Stephen Hawking, Penguin Books ISBN 0-14-101571-3 Amarasinghe, G. W. I. S. (2013) A Concise Elementary Proof for the Ptolemy's Theorem , Global Journal of Advanced Research on Classical and Modern Geometries (GJARCMG ...

  9. The 2-Ingredient Bars I Make Every Christmas - AOL

    www.aol.com/lifestyle/2-ingredient-bars-every...

    Lightly spray an 8x8 pan with cooking spray or line with parchment paper. Crumble about 2/3 of the cookie dough into the pan and press into an even layer, like a crust. Use a tablespoon to dollop ...