Associations to the word «Pythagorean»

PYTHAGOREAN, noun. A follower of Pythagoras; someone who believes in or advocates Pythagoreanism. [from 16th c.]

PYTHAGOREAN, adjective. Pertaining to Pythagoras or his philosophy. [from 16th c.]

PYTHAGOREAN, adjective. Following the lifestyle advocated by the Pythagoreans; specifically, vegetarian. [from 17th c.]

PYTHAGOREAN THEOREM, proper noun. (geometry) A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides.

PYTHAGOREAN THEOREM, proper noun. (functional analysis) A generalization of the Pythagorean theorem for Euclidean triangles to Hilbert spaces

PYTHAGOREAN TRIGONOMETRIC IDENTITY, noun. (trigonometry) The equality \(\sin(x)^2 + \cos(x)^2 = 1\), holding for all real and complex x, equivalent to the application of the Pythagorean theorem to the unit circle.

PYTHAGOREAN TRIPLE, proper noun. A set of three positive integers a, b and c, where a2 = b2 + c2

PYTHAGOREAN, adjective. Of or relating to Pythagoras or his geometry; "Pythagorean philosophy"; "Pythagorean theorem".