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In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1]
This has turned ugly. I will give up on the hinge theorem for now, but, someday, it will have its own page! SquallBL 20:58, 27 May 2010 (UTC) Hinge theorem may not be worthy of its own page (at the moment), but the FMA surely is. This organization is very intriguing, and it deserves to be brought to the public's attention.
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.
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In topology, the pasting or gluing lemma, and sometimes the gluing rule, is an important result which says that two continuous functions can be "glued together" to create another continuous function.
Jennings gag. In the context of surgery or dental surgery, a gag is a device used to hold the patient's mouth open when working in the oral cavity, or to force the mouth open when it cannot open naturally because of forward dislocation of the jaw joint's intraarticular cartilage pad.
More generally, the constructibility of all powers of 5 greater than 5 itself by marked ruler and compass is an open problem, along with all primes greater than 11 of the form p = 2 r 3 s 5 t + 1 where t > 0 (all prime numbers that are greater than 11 and equal to one more than a regular number that is divisible by 10).
The method of exhaustion (Latin: methodus exhaustionis) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape.