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
IntroductoryAngles at a PointTrianglesParallelsAngles of Rectilineal FiguresTriangles (continued)The Use of InstrumentsElementary ConstructionsInequalities Connected with the TriangleConstruction of a Triangle with Given PartsParallelograms Division of a Line into Equal Parts LociMiscellaneous Theorems andConstructionsThe Forms of Simple Solids
Unit 2: Areas
Areas of Parallelograms and TrianglesCalculation of AreasArea Constructions Squares on the Sides of Rightangled TrianglesTrigonometrical Ratios Miscellaneous Exercises
Unit 3: The Circle
Chords of a Circle Angles in SegmentsTangentsConstruction of Tangents Construction of Inscribed and Escribed Circles Equal Angles, Chords and ArcsAngles in Segments (continued) Inscribed and Circumscribed FiguresTangent to a Curve Miscellaneous Exercises
Unit 4: Areas of Rectangles
Rectangles Contained by Segments of LinesConstruction of a Square Equal to a PolygonSquares on the Sides of a Triangle Rectangles Contained by Segments of a ChordConstruction of Scales—Practical Miscellaneous Exercises Test Papers Miscellaneous Riders
Unit 5: Similar Figures
Ratio and ProportionTriangles and ParallelogramsRatio of the Segments of Lines and Arcs of CirclesSimilar TrianglesThird, Fourth and Mean Proportional Areas of Similar TrianglesTrigonometrical Formulae Similar PolygonsInscribed and Circumscribed FiguresAreas of Similar FiguresMedial Section and the Regular PentagonMiscellaneous Exercises
Unit 6: Miscellaneous Propositions
Triangles and QuadrilateralsThe Orthocentre and Pedal TriangleThe Simson LineThe NinePoint Circle Radical Axis of Two CirclesCentres of Similitude Construction of Circles to Satisfy Given ConditionsHarmonic Division of a LinePole and PolarThe ‘Point O’ Theorem Maxima and Minima Displacement of a Figure in its Own Plane; EnvelopesMiscellaneous Exercises Typical Examination Papers AnswersIndex
