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The aim of this book is to provide a complete synthetic exposition
of plane isometries, similarities and inversions to readers who are
interested in studying, teaching, and using this material.The
topics developed in this book can provide new proofs and solutions
to many results and problems of classical geometry, which are
presented with different proofs in the literature. Their
applications are numerous and some, such as the Steiner Chains and
Point, are useful to engineers.The book contains many good
examples, important applications and numerous exercises of various
level and difficulty, which are classified in the three groups of:
general exercises, geometrical constructions, and geometrical loci.
Some lengthy exercises or groups of related exercises can be viewed
as projects. On the basis of the above, this book, besides
Classical Geometry, is an important addition to Mathematics
Education.
The aim of this book is to provide a complete synthetic exposition
of plane isometries, similarities and inversions to readers who are
interested in studying, teaching, and using this material.The
topics developed in this book can provide new proofs and solutions
to many results and problems of classical geometry, which are
presented with different proofs in the literature. Their
applications are numerous and some, such as the Steiner Chains and
Point, are useful to engineers.The book contains many good
examples, important applications and numerous exercises of various
level and difficulty, which are classified in the three groups of:
general exercises, geometrical constructions, and geometrical loci.
Some lengthy exercises or groups of related exercises can be viewed
as projects. On the basis of the above, this book, besides
Classical Geometry, is an important addition to Mathematics
Education.
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