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Such a triple is commonly written (a, b, c), a well-known example is (3, 4, 5). If ( a , b , c ) is a Pythagorean triple, then so is ( ka , kb , kc ) for any positive integer k . A triangle whose side lengths are a Pythagorean triple is a right triangle and called a Pythagorean triangle .
With a the shorter and b the longer legs of a triangle and c its hypotenuse, the Pythagoras family of triplets is defined by c − b = 1, the Plato family by c − b = 2, and the Fermat family by | a − b | = 1. The Stifel sequence produces all primitive triplets of the Pythagoras family, and the Ozanam sequence produces all primitive triples ...
[6]: p.7 For example, parent (3, 4, 5) has excircle radii equal to 2, 3 and 6. These are precisely the inradii of the three children (5, 12, 13), (15, 8, 17) and (21, 20, 29) respectively. If either of A or C is applied repeatedly from any Pythagorean triple used as an initial condition, then the dynamics of any of a , b , and c can be ...
In number theory, a prime triplet is a set of three prime numbers in which the smallest and largest of the three differ by 6. In particular, the sets must have the form ( p , p + 2, p + 6) or ( p , p + 4, p + 6) . [ 1 ]
Alexander Paffendorf expressed regret for his involvement when a judge offered a chance for final words before keeping an order to confiscate his guns and ammunition in place until April 4.
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Fourteen sets of twins and one set of triplets graduated June 5 from Cooper City High School in Cooper City, Florida, about 40 minutes outside of Miami. The group comprised about 6% of the 543 ...
It is a private school in India that employs Hindi as a medium of instruction in primary school. Though primarily subjects such as Math, science and social studies are taught in Hindi till class 5th, students are taught 'technical terms' which are the English counterparts of whatever they learnt. Students are provided instruction in four languages.