Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.... \xa a\alt;d, \yab\alt;d, (z- c\ alt;d, by a finite number of parametric formulae of the type x = alt;jagt;p(u, v), y = xp(utv), z = alt;fip(u, v) (p=l, 2, . ... For all values of x, y, z other than a, b, c there corresponds at least one value of p and a pair of values of u and v in the region, and ... It means that the 202 BIRATIONAL GEOMETRY Book II CVII.

Title | : | A History of Geometrical Methods |

Author | : | Julian Lowell Coolidge |

Publisher | : | Courier Corporation - 2013-02-27 |

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