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Paran, Antoine

Antoine Paran ( French Antoine Parent , September 16, 1666 - September 26, 1716 ) - French mathematician, founder of analytic geometry in three-dimensional space.

Antoine Paran
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At the end of the course of rights, Paran devoted himself to the study of mathematics, he was also engaged in the natural sciences, mainly anatomy, botany, chemistry. Elected in 1699 to the Academy of Sciences with the title of mechanic, de Billett introduced Paran with him to the Academy, appointing him as an excellent expert on mechanics his élève. With the vastness and diversity of his information, Paran could take part in the debate on almost all the Academy's specialties. The impetuosity and ardor of his objections, he acquired many enemies: the title of full member of the Academy Paran received only in the year of his death.

The works presented to him at the academy were so meticulously criticized that only a relatively small part were allowed to be published, and all the most important were rejected, so from 1705 Paran himself began publishing something like a scientific journal entitled Essais et Recherches de mathématique et physique. " The most remarkable of the publisher’s works published in this publication was read at the Academy on July 24 and August 23, 1700: “Des affections des superficies” (II, pp. 181-200), the subject of which was the study of the spherical surface and surfaces

yb+x=z-xz{\ displaystyle {\ frac {y} {b + x}} = {\ sqrt {\ frac {zx} {z}}}} {\ displaystyle {\ frac {y} {b + x}} = {\ sqrt {\ frac {z-x} {z}}}} andy=z2x2+az {\ displaystyle y = {\ frac {z ^ {2}} {x ^ {2} + az}}} {\ displaystyle y = {\ frac {z ^ {2}} {x ^ {2} + az}}} .

The importance of this work for the development of analytic geometry is difficult to overestimate, since here for the first time the surfaces were described by equations between coordinatesx,y,z {\ displaystyle x, y, z} x, y, z in three axes perpendicular to each other.

Paran gave a complete catalog of all his writings that appeared in print at the end of his published in 1714 in a separate edition of Arithmétique théorico-pratique en sa plus grande perfection (Paris). After him there were many completed and unfinished manuscripts on a wide variety of subjects, starting with scholarly treatises and ending with such works as “Evidence of the Divinity of Jesus Christ” (4 parts). None of these manuscripts appeared in print.

Notes

  1. ↑ 1 2 Committee of Historical and Scientific Works - 1834.
    <a href=" https://wikidata.org/wiki/Track:Q2985434 "> </a>

Literature

  • Eloge de M. Parent. // Histoire de l'Académie Royale des Sciences. 1716. Paris, 1718, pp. 88–93.
  • Shawl, Michelle . A historical review of the origin and development of geometric methods . Ch. III, n. 38. M., 1883.
  • Paran Antoine // Brockhaus and Efron Encyclopedic Dictionary : in 86 volumes (82 volumes and 4 additional). - SPb. , 1890-1907.

Links

Source - https://ru.wikipedia.org/w/index.php?title=Paran,_Antoine&oldid=88725763


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