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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 ...
Cheng's eigenvalue comparison theorem; Clifford's theorem on special divisors; Cohn-Vossen's inequality; Erdős–Mordell inequality; Euler's theorem in geometry; Gromov's inequality for complex projective space; Gromov's systolic inequality for essential manifolds; Hadamard's inequality; Hadwiger–Finsler inequality; Hinge theorem; Hitchin ...
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.
4. These words are related to a particular genre of music (hint: they deal with "names" that are spelled a little differently). Related: 300 Trivia Questions and Answers to Jumpstart Your Fun Game ...
Diddy's lawyers argue 'freak off' videos depict 'consensual sex' In their Tuesday filing, Combs' legal team blasted the U.S. Attorney's Office for the Southern District of New York for their ...
January 1, 2025 at 4:53 PM. Gaza’s population dropped by 6% – about 160,000 people – in 2024, according to a new report, as Israel’s war against Hamas took a heavy toll on the Palestinian ...
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.
The shortest trail route from the mountain's base to its summit stretches 10.7 miles, as per NPS. Mount Whitney is also the most frequently climbed mountain peak in the Sierra Nevada.
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