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Pappus of Alexandria information


Title page of Pappus's Mathematicae Collectiones, translated into Latin by Federico Commandino (1588).

Pappus of Alexandria (/ˈpæpəs/; Greek: Πάππος ὁ Ἀλεξανδρεύς; c. 290 – c.  350 AD) was a Greek mathematician of late antiquity known for his Synagoge (Συναγωγή) or Collection (c. 340),[1] and for Pappus's hexagon theorem in projective geometry. Almost nothing is known about his life except for what can be found in his own writings, many of which are lost. Pappus apparently lived in Alexandria were he worked as a mathematics teacher to higher level students, such one named Hermodorus.[2]

The Collection, his best-known work, is a compendium of mathematics in eight volumes, the bulk of which survives. It covers a wide range of topics that were part of the ancient mathematics curriculum, including geometry, astronomy, and mechanics.[1]

Pappus was active in a period generally considered one of stagnation in mathematical studies, where he stands out as a remarkable exception.[3] In many respects, his fate strikingly resembles that of Diophantus', originally of limited importance but becoming very influential in the late Renaissance and Early Modern periods.

  1. ^ a b Bird, John (14 July 2017). Engineering Mathematics. Taylor & Francis. p. 590. ISBN 978-1-317-20260-8.
  2. ^ Pierre Dedron, J. Itard (1959) Mathematics And Mathematicians, Vol. 1, p. 149 (trans. Judith V. Field) (Transworld Student Library, 1974)
  3. ^ Heath 1911, p. 740.

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Pappus of Alexandria

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Pappus of Alexandria (/ˈpæpəs/; Greek: Πάππος ὁ Ἀλεξανδρεύς; c. 290 – c.  350 AD) was a Greek mathematician of late antiquity known for his Synagoge (Συναγωγή)...

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Euclid

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mathematics. Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval...

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Pappus

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Mirini Pappus of Alexandria, Greek mathematician Pappus's hexagon theorem, often just called 'Pappus's theorem', a theorem named for Pappus of Alexandria Pappus's...

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Pandrosion

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of Alexandria (Ancient Greek: Πανδροσίων) was a mathematician in fourth-century-AD Alexandria, discussed in the Mathematical Collection of Pappus of Alexandria...

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Archimedes

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fuller description of the same sort of instrument is given by Pappus of Alexandria ... Figure 30 is based on Archimedes and Pappus. Rod R has a groove...

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Apollonius of Perga

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History of Ancient Mathematical Astronomy. New York: Springer. Pappus of Alexandria; Jones, Alexander (1986). Pappus of Alexandria Book 7 of the Collection...

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Pappus chain

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In geometry, the Pappus chain is a ring of circles between two tangent circles investigated by Pappus of Alexandria in the 3rd century AD. The arbelos...

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List of Egyptian inventions and discoveries

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community of Alexandria. And most modern studies conclude that the Greek community coexisted [...] So should we assume that Ptolemy and Diophantus, Pappus and...

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Menelaus of Alexandria

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spent his youth in Alexandria. He was called Menelaus of Alexandria by both Pappus of Alexandria and Proclus, and a conversation of his with Lucius, held...

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Greek mathematics

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algebra (Arithmetica), Pappus of Alexandria (c. 290–350 AD), who compiled many important results in the Collection, Theon of Alexandria (c. 335–405 AD) and...

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Diophantus

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Diophantus of Alexandria, and toward its close there appeared the last significant Greek geometer, Pappus of Alexandria. Cooke, Roger (1997). "The Nature of Mathematics"...

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Pappus graph

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named after Pappus of Alexandria, an ancient Greek mathematician who is believed to have discovered the "hexagon theorem" describing the Pappus configuration...

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Neusis construction

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Archimedes of Syracuse (287–212 BC) and Pappus of Alexandria (290–350 AD) freely used neuseis; Sir Isaac Newton (1642–1726) followed their line of thought...

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Pons asinorum

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proof attributed to Pappus of Alexandria. This is not only simpler but it requires no additional construction at all. The method of proof is to apply side-angle-side...

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Porism

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talks about porisms first is Euclid's Porisms. What is known of it is in Pappus of Alexandria's Collection, who mentions it along with other geometrical treatises...

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Affine geometry

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affine geometry deals with parallel lines, one of the properties of parallels noted by Pappus of Alexandria has been taken as a premise: Suppose A, B, C...

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List of geometers

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Hero of Alexandria (c. AD 10–70) – Euclidean geometry Pappus of Alexandria (c. AD 290–c. 350) – Euclidean geometry, projective geometry Hypatia of Alexandria...

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Theon of Alexandria

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Theon of Alexandria (/ˌθiːən, -ɒn/; Ancient Greek: Θέων ὁ Ἀλεξανδρεύς; c. AD 335 – c. 405) was a Greek scholar and mathematician who lived in Alexandria, Egypt...

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List of Greek mathematicians

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Nicomedes Nicoteles of Cyrene Oenopides Pappus of Alexandria Perseus (geometer) Philolaus Philon Philonides of Laodicea Polyaenus of Lampsacus Posidonius...

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Paul Guldin

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volume of a solid of revolution. (This theorem is also known as the Pappus–Guldinus theorem and Pappus's centroid theorem, attributed to Pappus of Alexandria...

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320

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25 is introduced as the birthday of Jesus. October 18 – Pappus of Alexandria, Greek philosopher, observes an eclipse of the sun and writes a commentary...

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Center of mass

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mathematicians who contributed to the theory of the center of mass include Hero of Alexandria and Pappus of Alexandria. In the Renaissance and Early Modern periods...

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Simple machine

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22, 2008. Quoted by Pappus of Alexandria in Synagoge, Book VIII Strizhak, Viktor; Igor Penkov; Toivo Pappel (2004). "Evolution of design, use, and strength...

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290

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360) Pappus of Alexandria, Greek mathematician (d. 350) Vitus (or Guido), Roman hagiographer and martyr May 16 – Wu of Jin, Chinese emperor of the Jin...

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Honeycomb conjecture

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to 36 BC, from Marcus Terentius Varro, but is often attributed to Pappus of Alexandria (c. 290 – c. 350). In the 17th century, Jan Brożek used a similar...

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Hero of Alexandria

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community of Alexandria. And most modern studies conclude that the Greek community coexisted [...] So should we assume that Ptolemy and Diophantus, Pappus and...

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