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1Relating to or characteristic of the Greek philosopher Pythagoras or his ideas.
‘the Pythagorean doctrine of the transmigration of souls’
‘Pythagorean political influence is attested well into the 4th century.’
‘Newton's axiom on slicing the pie to satisfy musical harmonies is reminiscent of Kepler's Pythagorean speculations.’
‘The rise of mathematics in the Pythagorean school had revealed for the first time the power of thought.’
‘Kepler's discovery of the Third Law is a striking application of Pythagorean principles.’
‘Damon, a Pythagorean philosopher, was intimate with Pythias.’
‘This is the Pythagorean notion of reality against which Zeno directed his arguments.’
‘Commitment to Plato's philosophy tended to reinforce a Pythagorean orientation towards science.’
‘The Pythagorean orientation yielded substantial dividends in his astronomical investigations.’
‘Pythagorean natural philosophers read musical harmonies into the universe at large.’
‘According to Aristotle, the Pythagorean approach suffers from exclusive preoccupation with formal causes.’
1.1Relating to Pythagoras' theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
‘a repetitive Pythagorean angular geometry’
‘The size of the reduced truss be derived from a simple Pythagorean equation.’
‘The postage stamp shown here celebrates the Pythagorean relationship that was discovered over 2500 years ago.’
‘A Pythagorean triad is a set of numbers that would represent the sides of a right triangle.’
‘We challenge the reader with these observations of Pythagorean right triangles.’
‘A Pythagorean triple is a set of three natural numbers that satisfies Pythagoras' theorem.’
‘Generalizing the Pythagorean equation for triangles with integer sides to powers greater than 2 leads to Fermat's last theorem.’
‘Not all right triangles constructible in Euclidean geometry can be constructed in Pythagorean geometry.’
‘The Euclidean construction axiom allows for the extraction of all real square roots and thus includes even more constructions than the Pythagorean axiom.’
‘Can a Pythagorean triangle have two equal sides?’
‘Using this theorem, Euclid can perform the old Pythagorean proof of Pythagoras' theorem correctly.’
noun
A person who supports the theories of the Greek philosopher Pythagoras.
‘the early Pythagoreans represented numbers by means of dots arranged in certain patterns’
‘The later tradition almost universally identifies him as a Pythagorean.’
‘Clement of Alexandria called Philo 'the Pythagorean'.’
‘The committed Pythagorean believes that if a mathematical relation fits phenomena, this can hardly be a coincidence.’
‘Earlier scholars took this comparison of him to the Pythagoreans as confirmation that he was a Pythagorean.’
‘He was the most prominent Pythagorean of the preceding generation.’
‘One may be a Pythagorean today without being impressed by Bode's law.’
‘It only makes sense to compare him with the Pythagoreans and wonder who influenced whom.’
‘Aristotle and Theophrastus refer to him a number of times but never identify him as a Pythagorean.’
‘Aristotle does not explicitly call him a Pythagorean and appears to treat him as an important independent thinker.’
‘The tradition that he was a Pythagorean first appears in Plutarch.’