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单词 Pythagorean
释义

Definition of Pythagorean in English:

Pythagorean

adjective pʌɪˌθaɡəˈriːənpəˌθæɡəˈriən
  • 1Relating to or characteristic of the Greek philosopher Pythagoras or his ideas.

    the Pythagorean doctrine of the transmigration of souls
    Example sentencesExamples
    • The Pythagorean orientation yielded substantial dividends in his astronomical investigations.
    • Kepler's discovery of the Third Law is a striking application of Pythagorean principles.
    • 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.
    • Commitment to Plato's philosophy tended to reinforce a Pythagorean orientation towards science.
    • Pythagorean natural philosophers read musical harmonies into the universe at large.
    • This is the Pythagorean notion of reality against which Zeno directed his arguments.
    • According to Aristotle, the Pythagorean approach suffers from exclusive preoccupation with formal causes.
    • Pythagorean political influence is attested well into the 4th century.
    • Damon, a Pythagorean philosopher, was intimate with Pythias.
    1. 1.1 Relating 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
      Example sentencesExamples
      • We challenge the reader with these observations of Pythagorean right triangles.
      • 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.
      • The Euclidean construction axiom allows for the extraction of all real square roots and thus includes even more constructions than the Pythagorean axiom.
      • The size of the reduced truss be derived from a simple Pythagorean equation.
      • A Pythagorean triple is a set of three natural numbers that satisfies Pythagoras' theorem.
      • Using this theorem, Euclid can perform the old Pythagorean proof of Pythagoras' theorem correctly.
      • Can a Pythagorean triangle have two equal sides?
      • Not all right triangles constructible in Euclidean geometry can be constructed in Pythagorean geometry.
      • Generalizing the Pythagorean equation for triangles with integer sides to powers greater than 2 leads to Fermat's last theorem.
noun pʌɪˌθaɡəˈriːənpəˌθæɡəˈriən
  • A person who supports the theories of the Greek philosopher Pythagoras.

    the early Pythagoreans represented numbers by means of dots arranged in certain patterns
    Example sentencesExamples
    • The committed Pythagorean believes that if a mathematical relation fits phenomena, this can hardly be a coincidence.
    • It only makes sense to compare him with the Pythagoreans and wonder who influenced whom.
    • One may be a Pythagorean today without being impressed by Bode's law.
    • Clement of Alexandria called Philo 'the Pythagorean'.
    • He was the most prominent Pythagorean of the preceding generation.
    • 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.
    • The later tradition almost universally identifies him as a Pythagorean.
    • Aristotle and Theophrastus refer to him a number of times but never identify him as a Pythagorean.
    • Earlier scholars took this comparison of him to the Pythagoreans as confirmation that he was a Pythagorean.

Rhymes

Actaeon, Aegean, aeon (US eon), Augean, Behan, Cadmean, Caribbean, Carolean, Chaldean, Cyclopean, empyrean, epicurean, European, Fijian, Galilean, Hasmonean, Hebridean, Herculean, Ian, Jacobean, Kampuchean, Laodicean, lien, Linnaean (US Linnean), Maccabean, Mandaean (US Mandean), Medicean, monogenean, Nabataean (US Nabatean), Orphean, paean, paeon, pean, peon, Periclean, piscean, plebeian, Pyrenean, Sabaean, Sadducean, Sisyphean, skean, Tanzanian, Tennesseean, Terpsichorean, theodicean, Tyrolean

Definition of Pythagorean in US English:

Pythagorean

adjectivepəˌθæɡəˈriənpəˌTHaɡəˈrēən
  • 1Relating to or characteristic of the Greek philosopher Pythagoras or his ideas.

    the Pythagorean doctrine of the transmigration of souls
    Example sentencesExamples
    • 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. 1.1 Relating 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
      Example sentencesExamples
      • 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.
nounpəˌθæɡəˈriənpəˌTHaɡəˈrēən
  • A person who supports the theories of the Greek philosopher Pythagoras.

    the early Pythagoreans represented numbers by means of dots arranged in certain patterns
    Example sentencesExamples
    • 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.
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更新时间:2024/10/19 15:34:55