Geometry is the study of figures in space. As you study geometry, you
will measure these figures and determine how they relate to each other and
the space they are in. To work with geometry you must understand the difference
between representations on the page and the figures they symbolize.
What you see is not always what is there. In space, lines define a square;
on the page, four distinct black marks define a square. What is the difference?
On the page, lines are visible. In space, lines are invisible because lines
do not occupy space, in and of themselves. Let this be your first lesson in
geometry: Appearances may deceive.
Sadly, for those of you who love the challenge of proving the validity of
geometric postulates and theorems—these are the statements that define
the rules of geometry—this book is not for you. It will not address geometric
proofs or zigzag through tricky logic problems, but it will focus on
the practical application of geometry towards solving planar (two-dimensional)
spatial puzzles. As you use this book, you will work under the
assumption that every definition, every postulate, and every theorem is
“infallibly” true.
will measure these figures and determine how they relate to each other and
the space they are in. To work with geometry you must understand the difference
between representations on the page and the figures they symbolize.
What you see is not always what is there. In space, lines define a square;
on the page, four distinct black marks define a square. What is the difference?
On the page, lines are visible. In space, lines are invisible because lines
do not occupy space, in and of themselves. Let this be your first lesson in
geometry: Appearances may deceive.
Sadly, for those of you who love the challenge of proving the validity of
geometric postulates and theorems—these are the statements that define
the rules of geometry—this book is not for you. It will not address geometric
proofs or zigzag through tricky logic problems, but it will focus on
the practical application of geometry towards solving planar (two-dimensional)
spatial puzzles. As you use this book, you will work under the
assumption that every definition, every postulate, and every theorem is
“infallibly” true.
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