### Some articles on *pythagorean triples, pythagorean triple, pythagorean, triple, triples*:

Pythagorean Triple - Spinors and The Modular Group

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**Pythagorean triples**can likewise be encoded into a matrix of the form A matrix of this form is symmetric ... of X is which is zero precisely when (a,b,c) is a**Pythagorean triple**... If X corresponds to a**Pythagorean triple**, then as a matrix it must have rank 1 ...Pell Number -

... side lengths a, b, c (necessarily satisfying the

**Pythagorean Triples**... side lengths a, b, c (necessarily satisfying the

**Pythagorean**theorem a2+b2=c2), then (a,b,c) is known as a**Pythagorean triple**... (1875) describes, the Pell numbers can be used to form**Pythagorean triples**in which a and b are one unit apart, corresponding to right triangles that are nearly isosceles ... Each such**triple**has the form The sequence of**Pythagorean triples**formed in this way is (4,3,5), (20,21,29), (120,119,169), (696,697,985).. ...Examples of Ternary Trees

... search tree Ternary heap An infinite ternary tree containing all primitive

... search tree Ternary heap An infinite ternary tree containing all primitive

**Pythagorean triples**is described in Tree of primitive**Pythagorean triples**and in Formulas for generating**Pythagorean triples**... The root node contains**triple**...Formulas For Generating

... sequence that generates some but not all possible

**Pythagorean Triples**- Some Variations On Euclid's Method... sequence that generates some but not all possible

**triples**is based on the positive integers starting with a = 3 ... b = a2/4 − 1 and c = b + 2 Note that a = 3 and a = 4 produce the same primitive**triple**and that when a = 4n + 2 for integer n (thus a is even), then the**triple**... More formally given a positive integer n, the**triple**can be generated by the following two procedures (see http//www.mcs.surrey.ac.uk/Personal/R.Knott/Pythag/pythag.html ) Example ...Indian Mathematics - Vedic Period - Śulba Sūtras

... the earliest extant verbal expression of the

... the earliest extant verbal expression of the

**Pythagorean**Theorem in the world, although it had already been known to the Old Babylonians." They contain lists of**Pythagorean**... Sulba Sutra, the best-known Sulba Sutra, which contains examples of simple**Pythagorean triples**, such as, , and as well as a statement of the**Pythagorean**theorem for the sides of a square "The rope which is. 1850 BCE "contains fifteen**Pythagorean triples**with quite large entries, including (13500, 12709, 18541) which is a primitive**triple**, indicating, in particular, that there was ...### Famous quotes containing the word pythagorean:

“Come now, let us go and be dumb. Let us sit with our hands on our mouths, a long, austere, *Pythagorean* lustrum. Let us live in corners, and do chores, and suffer, and weep, and drudge, with eyes and hearts that love the Lord. Silence, seclusion, austerity, may pierce deep into the grandeur and secret of our being, and so diving, bring up out of secular darkness, the sublimities of the moral constitution.”

—Ralph Waldo Emerson (1803–1882)

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