How To Use Pythagorean In A Sentence
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Lessons include the role of parabolas in punting, how defenders instinctively use the Pythagorean theorem to prevent touchdowns and why the shape of a football - a prolate spheroid - helps quarterbacks throw spirals.
Videos demonstrate some of the science behind football
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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Descartes's vision of science thus combined the Archimedean, the Pythagorean, and the atomist points of view.
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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“ancient theology” (prisca theologia); and according to Agrippa and Florentine philosophers such as Ficino, this wisdom was passed along by way of the Pythagoreans to Plato and his later disciples, whom the Renaissance called Platonists but modern scholarship calls Neoplatonists.
Loss of Faith
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It may not be quite correct to classify Alcmaeon as a Pythagorean, but he was certainly influenced by Pythagorean ideas.
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It is striking, however, that there are essentially no testimonia connecting Archytas to metempsychosis or the religious aspect of Pythagoreanism.
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These most rarely occurring topics were: angles in a quadrilateral, fractions, fraction multiplication, properties of triangles, and the Pythagorean theorem.
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Guthrie has argued for an Orphic-Pythagorean identity, contending that they contain ideas identical to Orphic teachings.
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Among those who came under it was a Pythagorean called Pythias, who was sentenced to death, according to the usual fate of those who fell under his suspicion.
A Book of Golden Deeds
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There are in fact only four pieces of mathematical work that we can safely attribute to the early Pythagoreans.
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Countless ethnogenic fables, both large as Trojan descent and as small as the metempsychosis of the Pythagorean soul, appear throughout the long medieval period from late antiquity to the so-called high Renaissance.
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This revival can be seen in a series of Pythagorean pseudepigrapha of the same age.
Numenius
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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Bennin then showed that the quadrilateral formed by a triangle's equalizer is, indeed, always a Pythagorean quadrilateral.
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The most likely explanation is that the dodecahedron was a cult object for the Pythagoreans (dodecahedra in stone and bronze have been found dating back to prehistoric times) and that it was because of these religious connections that Hippasus 'public work on the mathematical aspects of the solid was seen as impious (Burkert 1972a, 460).
Pythagoreanism
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Consider, for example, the Pythagorean theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
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Guthrie has argued for an Orphic-Pythagorean identity, contending that they contain ideas identical to Orphic teachings.
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Pythagorean theorem
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During some part of his life he was instructed in Pythagoreanism, and was a disciple of Leucippus.
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Students will be able to use reciprocals, quotients, Pythagorean identities, cofunctions, and composite-arguments to prove trig identities.
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Pythagorean system, to denote respectively the _monad_, or active principle of nature; the _duad_, or passive principle; the _triad_, or world emanating from their union; and the _quaterniad_, or intellectual science; the whole number of points amounting to ten, the symbol of perfection and consummation.
The Symbolism of Freemasonry
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I'm not pressing for new names for time-worn concepts, I'm objecting to the way people treat English grammar as if it were a frozen collection of eternal truths like Pythagorean geometry.
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One genus was called the diatonic; one example of this is the Pythagorean diatonic described above, which is built on the tetrachord with the intervals 9: 8, 9: 8 and 256: 243 and was used by Philolaus and Plato.
Archytas
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That is, the pre-Euclidean, Classical Greek geometers, typified by the Pythagoreans, and the School of Plato.
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Pythagorean esotericism has been a constant presence in Western thought since antiquity, but it was especially in vogue during the Renaissance, thanks to the rediscovery of a poem of “self-help” maxims written around the fourth century B.C. called the Golden Verses of Pythagoras.
HERE’S LOOKING AT EUCLID
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The ten points inscribed within that ‘Pythagorean Triangle’ are worth all the theogonies and angelologies that ever emanated from the theological brain.
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For example, the Pythagoreans did not expect to uncover irrational numbers in the diagonal of a square.
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The assignment was to make a construction that could be used in proving the pythagorean theorem.
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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I he only two pieces of experimentation that one can attribute to the Presocratics occur in the Pythagoreans and in Anaxagoras.
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Pythagoreans believed that anyone who downgraded his life by immoral and impure acts would be born as animal in his next life.
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This contradicts one of baseball's well-respected analytical statistics called Pythagorean Expectation, a measure developed by stat guru Bill James that says a team's run differential is a good determinant for what its winning percentage should be.
The Giants Thrive on Squeaking By
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The Pythagoreans say, that the moon appears to us terraneous, by reason it is inhabited as our earth is, and in it there are animals of a larger size and plants of a rarer beauty than our globe affords; that the animals in their virtue and energy are fifteen degrees superior to ours; that they emit nothing excrementitious; and that the days are fifteen times longer.
Essays and Miscellanies
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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The resemblance of the metempsychosis to Naldi's version is undeniable, and the Pythagorean model would seem to anticipate further genealogies of this kind.
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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the assignment was to make a construction that could be used in proving the Pythagorean theorem
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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The elusive connection between Orphism and Pythagoreanism rears its head with Brontinus, since the fourth-century author, Epigenes, reports that Brontinus is supposed to be the real author of two works circulating in the name of Orpheus (West 1983, 9 ff.).
Pythagoreanism
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There are in fact only four pieces of mathematical work that we can safely attribute to the early Pythagoreans.
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From the works of Boethius (_circa_ 400) and others, he had derived and accepted the Pythagorean division of the scale, making thirds and sixths dissonant intervals; and so his perfect chord (from which our later triad gets its name of _perfect_) was composed of a root, fifth or fourth, and octave.
Critical and Historical Essays Lectures delivered at Columbia University
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The four elements find their counterparts in the four triplicities; and numerous Pythagorean pairs of opposites (male — female, diurnal — nocturnal, hot — cold, etc.) are attributed to consecutive pairs of signs.
ASTROLOGY
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I he only two pieces of experimentation that one can attribute to the Presocratics occur in the Pythagoreans and in Anaxagoras.
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Gunther Zuntz, on the other hand, has argued for the exclusively Pythagorean identity of the tablets.
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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Ten of the 12 intervals generated by the analysis of either English or Mandarin vowel spectra are those used in just intonation tuning, whereas 4 of the 12 match the Pythagorean tuning and only 1 of the 12 intervals matches those used in equal temperament.
Arguments, agreements, advice, answers, articulate announcements
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Gunther Zuntz, on the other hand, has argued for the exclusively Pythagorean identity of the tablets.
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The Pythagorean doctrine that one soul can not only transmigrate from man to man, from man to beast, but also indifferently to plants, serves as the basis for the soul's secular progress.
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The pitfall trap or the nearest pit for turtles at the fence was also recorded in order to calculate a minimum straight-line travel distance from the release point using the Pythagorean theorem.
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Pythagorean philosophy
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I'm not pressing for new names for time-worn concepts, I'm objecting to the way people treat English grammar as if it were a frozen collection of eternal truths like Pythagorean geometry.
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Contributing to the Neo-Platonism of Plotinus were — besides Plato (read very selectively) and the Platonist and Neo-Pythagorean commentators on his thought — a constructively critical consideration of Aristotle and his Peripatetic commentators and an influence, deep at some points, of Stoic ideas which Plotinus 'conscious and frequently expressed hostility to Stoic corporealism could not overcome.
NEO-PLATONISM
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Primitive Pythagorean triangles are a bit like prime numbers in that every integer is either prime or a multiple of a prime.
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Using the humanistic technique of history and reminiscence, this article traces the idiosyncracies of the pythagorean philosophy: the refusal to put law in writing, the use of hieroglyphs, the dependence upon oracular judgment, the belief in multiple lives, askesis and akousmata, and places them at the root of what is most emblematically common law.
Archive 2008-04-01
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Rykwert, The idea of a town - The Anthropology of Urban Form in Rome, Italy 1999, p.126: "As the egg was a picture of the whole universe, so the telluric mundus became a representation of what the Pythagoreans were the first to call cosmos.
Archive 2009-07-01
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Hence that wide-spread Pythagorean philosophy, with its spheral harmonics and esoteric mysteries, uniting in one brotherhood for many years men of thought and action, -- dare we say, our inferiors?
The Atlantic Monthly, Volume 03, No. 20, June, 1859
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Any Pythagorean triangle is either primitive or a multiple of a primitive and this is shown in the table above.
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Can we have any other Pythagorean triangles with a Fibonacci number as the hypotenuse (the longest side)?
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The Asclepiades treated patients in the temples, but the Pythagoreans visited from house to house, and from city to city, and were known as the ambulant or periodic physicians.
Outlines of Greek and Roman Medicine
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He accepted the Pythagorean position that a successful fit is not likely to be a coincidence.
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This paper makes studies of researched proposition on Pythagorean theorem an Projection theorem.
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The original Trautonium was essentially a monophonic instrument: Indeed, it could be described as a state of the art descendant of the Pythagorean monochord - a wire stretched across a fingerboard.
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So important was it thought to have "sound learning" guarded and "safe science" taught, that in many of the universities, as late as the end of the seventeenth century, professors were forced to take an oath not to hold the "Pythagorean" -- that is, the Copernican -- idea as to the movement of the heavenly bodies.
A History of the warfare of Science with Theology in Christendom
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved.
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Although Michelangelo is responsible for the design and execution of the Sistine Chapel, the mind-bogglingly complex intellectual scheme underpinning the entire room was developed by the Neopythagorean Renaissance philosopher, Marsilio Ficino.
Boing Boing
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The Pythagorean doctrine that one soul can not only transmigrate from man to man, from man to beast, but also indifferently to plants, serves as the basis for the soul's secular progress.
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Mysti - cal interpretations of the number four go back at least to the Neo-Pythagoreans, and Philo Judaeus, imitated by Ambrose and Augustine, had long ago identified the
Dictionary of the History of Ideas
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Magic: Empedocles and Pythagorean Tradition, along with Women in the
An Interview with Alexis Masters
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Book One, On the Pythagorean Life, has biographical aspects but is primarily a detailed description of and a protreptic for the Pythagorean way of life.
Pythagoreanism
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The virtue of this conception is that it explains how two or more people can be said to be thinking of the same abstract object, such as the number ˜two,™ and how various properties, such as the Pythagorean Theorem, can be said to follow logically from the idea of a right triangle.
Malebranche's Theory of Ideas and Vision in God
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Figures who dismiss argument - like the Pythagoreans, who reverence their Master and want only to treasure his words - are always seen as philosophically marginal.
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Despite the attempt to treat the Pythagorean example as an exception, it can not but weaken Goody's case.
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A reflection of their fundamental philosophy, the Pythagoreans invented the term mathematics, from the Greek word mathema, which meant “science.”
Euclid’s Window
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Guthrie has argued for an Orphic-Pythagorean identity, contending that they contain ideas identical to Orphic teachings.