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  3. Elementary Euclidean Geometry
  • Cited by 6
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    • Publisher:
      Cambridge University Press
      Publication date:
      July 2010
      March 2004
      ISBN:
      9780511755194
      9780521834483
      DOI:
      https://doi.org/10.1017/CBO9780511755194
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.45kg, 192 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Real and Complex Analysis
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    Subjects:
    Mathematics, Real and Complex Analysis
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    Book description

    This book, first published in 2004, is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Lines and circles provide the starting point, with the classical invariants of general conics introduced at an early stage, yielding a broad subdivision into types, a prelude to the congruence classification. A recurring theme is the way in which lines intersect conics. From single lines one proceeds to parallel pencils, leading to midpoint loci, axes and asymptotic directions. Likewise, intersections with general pencils of lines lead to the central concepts of tangent, normal, pole and polar. The treatment is example based and self contained, assuming only a basic grounding in linear algebra. With numerous illustrations and several hundred worked examples and exercises, this book is ideal for use with undergraduate courses in mathematics, or for postgraduates in the engineering and physical sciences.

    Reviews

    'This is a nice and self-contained introduction into the geometry of the lines and the conics in the Euclidean plane within an analytical context'.

    Source: Zentralblatt MATH

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