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Elements of Geometry
Barnard, S
Child, J M

 


  ISBN : 978-1-781830-33-8 
Price : 25
Pub. Date :
2017
Edition :
1st
Format  : Paperback   
Extent  :
444 Pages
 
 
KEY FEATURES:


  • Euclid theorem given with substantive proofs.
  • Parallels and tangents are treated using Euclid methods.
  • Numericals arranged systematically from simple to more difficult.

  • ABOUT THE BOOK:


    This book contains all elements (including the parallel postulate and the axioms) and the basic propositions of geometry. Details of Euclid’s definitions and their adaptations to explain various geometries have been attempted thoroughly.


    ABOUT THE AUTHOR(S):



    S Barnard (MA) was a British historian of Mathematics. He has authored many basic books of Geometry and Algebra. His book (along with J M Child) ‘A New Geometry for Schools’ is still a milestone work in the field of Elementary Mathematics.



    J M Child (MA) was a British mathematician and teacher of Geometry and Algebra. The ‘Early Mathematical manuscripts of Leibniz’, ‘Higher Algebra’, ‘The Geometrical Lectures of Isaac Barrow’ are among some world famous creations of the author.


    CONTENTS:


    Unit 1: The Straight Line

  • Introductory
  • Angles at a Point
  • Triangles
  • Parallels
  • Angles of Rectilineal Figures
  • Triangles (continued)
  • The Use of Instruments
  • Elementary Constructions
  • Inequalities Connected with the Triangle
  • Construction of a Triangle with Given Parts
  • Parallelograms
  • Division of a Line into Equal Parts
  • Loci
  • Miscellaneous Theorems and
  • Constructions
  • The Forms of Simple Solids

    Unit 2: Areas

  • Areas of Parallelograms and Triangles
  • Calculation of Areas
  • Area Constructions
  • Squares on the Sides of Right-angled Triangles
  • Trigonometrical Ratios Miscellaneous Exercises

    Unit 3: The Circle


  • Chords of a Circle
  • Angles in Segments
  • Tangents
  • Construction of Tangents
  • Construction of Inscribed and Escribed Circles
  • Equal Angles, Chords and Arcs
  • Angles in Segments (continued)
  • Inscribed and Circumscribed Figures
  • Tangent to a Curve Miscellaneous Exercises

    Unit 4: Areas of Rectangles


  • Rectangles Contained by Segments of Lines
  • Construction of a Square Equal to a Polygon
  • Squares on the Sides of a Triangle
  • Rectangles Contained by Segments of a Chord
  • Construction of Scales—Practical Miscellaneous Exercises Test Papers Miscellaneous Riders

    Unit 5: Similar Figures


  • Ratio and Proportion
  • Triangles and Parallelograms
  • Ratio of the Segments of Lines and Arcs of Circles
  • Similar Triangles
  • Third, Fourth and Mean Proportional
  • Areas of Similar Triangles
  • Trigonometrical Formulae
  • Similar Polygons
  • Inscribed and Circumscribed Figures
  • Areas of Similar Figures
  • Medial Section and the Regular Pentagon
  • Miscellaneous Exercises

    Unit 6: Miscellaneous Propositions

  • Triangles and Quadrilaterals
  • The Orthocentre and Pedal Triangle
  • The Simson Line
  • The Nine-Point Circle
  • Radical Axis of Two Circles
  • Centres of Similitude
  • Construction of Circles to Satisfy Given Conditions
  • Harmonic Division of a Line
  • Pole and Polar
  • The ‘Point O’ Theorem
  • Maxima and Minima
  • Displacement of a Figure in its Own Plane; Envelopes
  • Miscellaneous Exercises
  • Typical Examination Papers
  • Answers
  • Index

  • READERSHIP:


  • Undergraduate and graduate students and teachers of Mathematics
  • University and college libraries

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