< Page:The Works of Archimedes.djvu
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CONTENTS.

INTRODUCTION.

  1. page
  2. Chapter  I.   
    Archimedes
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		xv
  3. Chapter  II.  
    Manuscripts and principal editions—order of composition—dialect—lost works
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		xxiii
  4. Chapter  III. 
    Relation of Archimedes to his predecessors
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		xxxix
  5. §1.
    Use of traditional geometrical methods
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		xl
  6. §2.
    Earlier discoveries affecting quadrature and cubature
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		xlvii
  7. §3.
    Conic Sections
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lii
  8. §4.
    Surfaces of the second degree
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		liv
  9. §5.
    Two mean proportionals in continued proportion
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxvii
  10. Chapter IV. 
    Arithmetic in Archimedes
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxviii
  11. §1.
    Greek numeral system
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxix
  12. §2.
    Addition and subtraction
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxxi
  13. §3.
    Multiplication
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxxii
  14. §4.
    Division
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxxiii
  15. §5.
    Extraction of the square root
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxxiv
  16. §6.
    Early investigations of surds or incommensurables
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxxvii
  17. ⁠§7.
    Archimedes' approximations to √3
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxxx
  18. ⁠§8.
    Archimedes' approximations to the square roots of large numbers which are not complete squares
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		lxxxiv
  19. Note on alternative hypotheses with regard to the approximations to √3
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		xc
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