# Hippasus of Metapontum

__See__Greek arithmetic, geometry and harmonics: <.

*Routledge History of Philosophy.
Taylor & Francis e-Library.
2005.*

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**Hippasus of Metapontum**— (6th c. BC) The member of the school of Pythagoras credited with having discovered irrational numbers. According to one legend the discovery was made during a voyage, and Hippasus was then either divinely punished by shipwreck, or perhaps thrown… … Philosophy dictionary**Hippasus of Metapontum**— ▪ Greek philosopher flourished c. 500 BC philosopher, early follower of Pythagoras, coupled by Aristotle with Heraclitus (Heracleitus) in identifying fire as the first element in the universe. Some traditions say that he was drowned after… … Universalium**Hippasus**— of Metapontum ( el. Ίππασος), b. c. 500 B.C. in Magna Graecia, was a Greek philosopher. He was a disciple of Pythagoras. To Hippasus (or Hippasos) is attributed the discovery of the existence of irrational numbers. More specifically, he is… … Wikipedia**Greek arithmetic, geometry and harmonics: Thales to Plato**— Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… … History of philosophy**Square root of 2**— The square root of 2, also known as Pythagoras constant, often denoted by:sqrt{2} or √2but can also be written as:2^{1/2},,is the positive real number that, when multiplied by itself, gives the number 2. Its numerical value approximated to 65… … Wikipedia**Irrational number**— In mathematics, an irrational number is any real number that is not a rational number that is, it is a number which cannot be expressed as a fraction m / n , where m and n are integers, with n non zero. Informally, this means numbers that cannot… … Wikipedia**Pythagorean theorem**— See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) … Wikipedia**Иппасус**— Гиппас из Метапонта (Ἵππασος ὁ Μεταποντῖνος), родился приблизительно в 500 гг. до н. э. в Великой Греции. Был последователем Пифагора. Ямвлих в сочинении «Об общей математической науке» сообщает о том, что математическая линия пифагорейской школы … Википедия**Гиппас из Метапонта**— (др. греч … Википедия**Number**— For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… … Wikipedia