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Pappus

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Pappus (păp`əs), fl. c.300, Greek mathematician of Alexandria. He recorded and enlarged on the results of his predecessors, including Euclid and Apollonius of Perga, in his Mathematical Collection (8 books; date conjectural). The six and a half extant books, edited and translated into Latin by Commandinus (1588), stimulated a revival of geometry in the 17th cent.; Descartes expounded several of his problems. The collection was reedited by Frederick Hultsch (1876–78). Pappus' other works include a commentary on Ptolemy's Almagest.

Bibliography

See T. L. Heath, A Manual of Greek Mathematics (1931).


pappus [′papĀ·əs]
(botany)
An appendage or group of appendages consisting of a modified perianth on the ovary or fruit of various seed plants; adapted to dispersal by wind and other means.

Pappus 

a winglike growth or very large trichome on the fruits and seeds of many plants. The pappus assists in the spreading of the fruits and seeds by the wind.


Pappus 

(Pappus of Alexandria). Years of birth and death unknown. Greek mathematician of the second half of the third century.

Pappus was the author of Mathematical Collections in eight books, only the last six of which are extant. The first two books were devoted to arithmetic, and the third through fifth books deal primarily with geometry. The sixth is on astronomy, the seventh contains a commentary on the works of Apollonius of Perga, including the latter’s Conic Sections, and the eighth deals with mechanics. Pappus’ work, a compendium of many works that have since been lost, is a valuable source for the history of Hellenistic mathematics.

WORKS

Pappi Alexandrini collectionis quae supersunt, vols. 1–3. Edited by F. Hultsch. Berlin, 1876–78.

REFERENCES

Heiberg, J. L. Estestvoznanie i matematika v klassicheskoi drevnosti. Moscow-Leningrad, 1936. (Translated from German.)
Sarton, G. A. A History of Science. Cambridge, Mass., 1952.

Pappus 

the aggregate of hairs or scales in a ring of one, two, or more rows on the apex of the inferior ovary and fruit of most plants of the families Compositae, Valerianaceae, and some others. The pappus helps in the distribution of seeds and fruits by means of wind, water, and animals.



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The biography of David Hilbert discusses a debate concerning whether it was an intellectual faux pas to advocate advancing the 2000 year old Theorem of Pappus to the status of an Axiom This issue is notable from a number of perspectives, one being his 1920 proposal establishing the Hilbert Program of formulating mathematics and/or geometry on a more solid and complete logical foundation conforming to inclusively greater ?
The social element consists, for example, in Descartes's having encountered the problem of Pappus in 1631 by way of Jacobus Golius, a professor at Leiden where Descartes had enrolled in 1630.
His narrative is broadly chronological, beginning with the rediscovery of classical sources including Archimedes and Pappus by dal Monte, Stevin, Benedetti, the young Galileo, and others and continuing through discussion of the work of Galileo and his disciples and the rise of mechanical philosophy and Descartes.
 
 
 
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