Pythagorean

Famous geometry theorem

Pythagorean relates to Pythagoras, the ancient Greek philosopher and mathematician, or to his teachings.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

Pythagorean tuning is a system of musical intervals based on ratios.

The Pythagoreans were a philosophical school that saw mystical significance in numbers and geometry.

theorem

hypotenuse

Longest right-triangle side

proof · Euclidean · geometry · congruence · similarity · legs · formula · equation · distance · calculation

triples

integer

Number lacking fractions

parametric · formula · infinite · odd · even · hypotenuse · legs · solution · family · Euclid

philosophy

transmigration

Soul passing into another body

  • cosmologyStudy of universal structure
  • dualismPhilosophy of opposed pairs
  • soulInnermost animating essence

immortality · purification · doctrine · pre-Socratic · Croton · brotherhood · vegetarianism · silence · contemplation · wisdom

tuning

comma

Punctuation marking pauses

ratio · diatonic · intonation · scale · octave · consonance · just · frequency · pitch · diapason

mysticism

monad

Indivisible fundamental unit

initiation · esoteric · occult · theurgy · cosmogony · symbolism · secrecy · oath · numerology · divine

Categories
Opposites
geometric/mathematical tradition

Pythagoreancircular

Forming a closed curve

non-Euclidean · curvilinear · spherical · elliptical · hyperbolic

philosophical worldview

Pythagoreanatomist

Believer in indivisible particles

materialist · empiricist · Stoic · Aristotelian

relationship to rationality and mysticism

Pythagoreansecular

Nonreligious, worldly

rationalist · irreligious · pragmatic · empirical · demystified

Phrases
Family

Pythagorean theorem

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Top 200,000
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Used worldwide · Timeless · Abstract · Rated G