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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 ...
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.
An ornate brass door hinge A barrel hinge. A hinge is a mechanical bearing that connects two solid objects, typically allowing only a limited angle of rotation between them. Two objects connected by an ideal hinge rotate relative to each other about a fixed axis of rotation, with all other translations or rotations prevented; thus a hinge has one degree of freedom.
The AOL.com video experience serves up the best video content from AOL and around the web, curating informative and entertaining snackable videos.
Theon of Alexandria (/ ˌθiːən, - ɒn /; Ancient Greek: Θέων ὁ Ἀλεξανδρεύς; c. AD 335 – c. 405) was a Greek [1] scholar and mathematician who lived in Alexandria, Egypt. He edited and arranged Euclid 's Elements and wrote commentaries on works by Euclid and Ptolemy. His daughter Hypatia also won fame as a mathematician.
Macaulay's method. Macaulay's method (the double integration method) is a technique used in structural analysis to determine the deflection of Euler-Bernoulli beams. Use of Macaulay's technique is very convenient for cases of discontinuous and/or discrete loading.
Bhatia–Davis inequality, an upper bound on the variance of any bounded probability distribution. Bernstein inequalities (probability theory) Boole's inequality. Borell–TIS inequality. BRS-inequality. Burkholder's inequality. Burkholder–Davis–Gundy inequalities. Cantelli's inequality. Chebyshev's inequality.
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.