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| Problems and solutions in euclidean geometry |
Description :
Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
AVANT PROPOS
This book is intended as a second course in Euclidean geometry.
Its purpose is to give the reader facility in applying the theorems of
Euclid to the solution of geometrical problems. Each chapter begins
with a brief account of Euclid's theorems and corollaries for
simplicity of reference, then states and proves a number of important
propositions. Chapters close with a section of miscellaneous problems
of increasing complexity, selected from an immense mass of material
for their usefulness and interest. Hints of solutions for a large number
of problems are also included.
Since this is not intended for the beginner in geometry, such
familiar concepts as point, line, ray, segment, angle, and polygon
are used freely without explicit definition. For the purpose of clarity
rather than rigor the general term line is used to designate sometimes
a ray, sometimes a segment, sometimes the length of a segment;
the meaning intended will be clear from the context.
Definitions of less familiar geometrical concepts, such as those of
modern and space geometry, are added for clarity, and since the
use of symbols might prove an additional difficulty to some readers,
geometrical notation is introduced gradually in each chapter.
Titre :Problems and solutions in euclidean geometry
auteur(s) : Aref M.N., Wernick W.
size : 2.7 Mb
file type : DJVU
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