rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: The
    title: works of Archimedes
  title info:
    title: Works. English. 2002
  name:
    name part: Archimedes
    role:
      role term: creator
    role:
      role term: author
  name:
    name part: Heath, Thomas Little
    name part: Sir
    name part: 1861-1940
  type of resource: text
  genre: bibliography
  genre: Early works.
  origin info:
    place:
      place term: nyu
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  language:
    language term: grc
  physical description:
    form: print
    extent: clxxxvi, 326, 51 pages : illustrations ; 22 cm
  abstract: Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. This edition offers an informative introduction with many valuable insights into the ancient mathematician's life and thought as well as the views of his contemporaries. Modern mathematicians, physicists, science historians, and logicians will find this volume a source of timeless fascination.
  table of contents: Chapter I. Archimedes -- Chapter II. Manuscripts and Principal Editions -- Order of Composition -- Dialect -- Lost Works -- Chapter III. Relation of Archimedes to His Predecessors -- 1. Use of traditional geometrical methods -- 2. Earlier discoveries affecting quadrature and cubature -- 3. Conic Sections -- 4. Surfaces of the second degree -- 5. Two mean proportionals in continued proportion -- Chapter IV. Arithmetic in Archimedes -- 1. Greek numeral system -- 2. Addition and subtraction -- 3. Multiplication -- 4. Division -- 5. Extraction of the square root -- 6. Early investigations of surds or incommensurables -- 7. Archimedes' approximations to [radical]3 -- 8. Archimedes' approximations to the square roots of large numbers which are not complete squares -- Note on alternative hypotheses with regard to the approximations to [radical]3 -- Chapter V. On the Problems Known As [characters not reproducible] -- 1. [characters not reproducible] referred to by Archimedes -- 2. Mechanical constructions: the conchoid of Nicomedes -- 3. Pappus' solution of the [characters not reproducible] referred to in Props. 8, 9 On Spirals -- 4. The problem of the two mean proportionals -- 5. The trisection of an angle -- 6. On certain plane [characters not reproducible] -- Chapter VI. Cubic Equations -- Chapter VII. Anticipations by Archimedes of the Integral Calculus -- Chapter VIII. The Terminology of Archimedes -- The Works of Archimedes -- On the Sphere and Cylinder, Book I -- On the Sphere and Cylinder, Book II -- Measurement of a Circle -- On Conoids and Spheroids -- On Spirals -- On the Equilibrium of Planes, Book I -- On the Equilibrium of Planes, Book II -- The Sand-Reckoner -- Quadrature of the Parabola -- On Floating Bodies, Book I -- On Floating Bodies, Book II -- Book of Lemmas -- The Cattle-Problem -- Supplement -- the Method of Archimedes.
  note: edited by T.L. Heath.
  note: "Unabridged republication of the edition published by Cambridge University Press in 1897 under the title The works of Archimedes, edited in modern notation with introductory chapters, and of the supplement published by Cambridge University Press in 1912 under the title The method of Archimedes, recently discovered by Heiberg, a supplement to The works of Archimedes"--Title page verso.
  note: "List of the principal works consulted": pages xi-xii.
  subject:
    topic: Mathematics, Greek
  subject:
    topic: Geometry
    genre: Early works to 1800
  subject:
    topic: Mechanics
    genre: Early works to 1800
  subject:
    topic: Géométrie
    genre: Ouvrages avant 1800
  subject:
    topic: Mathématiques grecques
  subject:
    topic: Mécanique
    genre: Ouvrages avant 1800
  subject:
    topic: Geometry
  subject:
    topic: Mathematics, Greek
  subject:
    topic: Mechanics
  classification: QA31 .A692 2002
  classification: 510
  identifier: 0486420841
  identifier: 9780486420844
  identifier: 2002018892
  identifier: Dover Pubns, 31 E 2nd st, Mineola, NY, USA, 11501, (516)2947000-223
  identifier: http://catdir.loc.gov/catdir/description/dover032/2002018892.html
  related item:
    location:
      url: http://catdir.loc.gov/catdir/description/dover032/2002018892.html
  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 020118
    record change date: 20240808224744.5
    record identifier: in00004816617
    language of cataloging:
      language term: eng