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1Relating to or characteristic of the Greek philosopher Pythagoras or his ideas.
‘the Pythagorean doctrine of the transmigration of souls’
‘The Pythagorean orientation yielded substantial dividends in his astronomical investigations.’
‘Kepler's discovery of the Third Law is a striking application of Pythagorean principles.’
‘According to Aristotle, the Pythagorean approach suffers from exclusive preoccupation with formal causes.’
‘Pythagorean political influence is attested well into the 4th century.’
‘Pythagorean natural philosophers read musical harmonies into the universe at large.’
‘Newton's axiom on slicing the pie to satisfy musical harmonies is reminiscent of Kepler's Pythagorean speculations.’
‘Damon, a Pythagorean philosopher, was intimate with Pythias.’
‘The rise of mathematics in the Pythagorean school had revealed for the first time the power of thought.’
‘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.’
1.1Relating to Pythagoras' theorem that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
‘a repetitive Pythagorean angular geometry’
‘The size of the reduced truss be derived from a simple Pythagorean equation.’
‘We challenge the reader with these observations of Pythagorean right triangles.’
‘A Pythagorean triad is a set of numbers that would represent the sides of a right triangle.’
‘Not all right triangles constructible in Euclidean geometry can be constructed in Pythagorean geometry.’
‘The postage stamp shown here celebrates the Pythagorean relationship that was discovered over 2500 years ago.’
‘Generalizing the Pythagorean equation for triangles with integer sides to powers greater than 2 leads to Fermat's last theorem.’
‘A Pythagorean triple is a set of three natural numbers that satisfies Pythagoras' theorem.’
‘Can a Pythagorean triangle have two equal sides?’
‘Using this theorem, Euclid can perform the old Pythagorean proof of Pythagoras' theorem correctly.’
‘The Euclidean construction axiom allows for the extraction of all real square roots and thus includes even more constructions than the Pythagorean axiom.’
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’
‘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.’
‘The tradition that he was a Pythagorean first appears in Plutarch.’
‘He was the most prominent Pythagorean of the preceding generation.’
‘Earlier scholars took this comparison of him to the Pythagoreans as confirmation that he was a Pythagorean.’
‘The committed Pythagorean believes that if a mathematical relation fits phenomena, this can hardly be a coincidence.’
‘Aristotle and Theophrastus refer to him a number of times but never identify him as a Pythagorean.’
‘The later tradition almost universally identifies him as a Pythagorean.’
‘Clement of Alexandria called Philo 'the Pythagorean'.’
‘Aristotle does not explicitly call him a Pythagorean and appears to treat him as an important independent thinker.’