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Insights and Manipulations - What Classical Geometry Looked like at Its Peak, and How It Was Transformed - A Guidebook (Hardcover)
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Insights and Manipulations - What Classical Geometry Looked like at Its Peak, and How It Was Transformed - A Guidebook (Hardcover)
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The past becomes a source of wisdom when the scientific quest for
uncovering the roots of things is combined with the humanistic
endeavor to make the dead letter come alive in a thoughtful mind.
Vague attempts at being "interdisciplinary," by contrast, merely
provide excuses to avoid examining the words set down by the
scientific thinkers themselves. If we love wisdom in its wholeness,
we must explore the sources of the things that we now take for
granted: we must think through the records of the thinking that has
demarcated the various fields of study and envisioned what's to be
investigated within them and how it's to be done. But where shall
we start looking for points of view to help us consider what
learning is, and what learning has to do with how we live within
our world? We couldn't do better than to climb the two peaks that
constitute the subject of this book. these are the classical
geometry in which Apollonius presented the conic sections, and that
modern transformation over which Descartes presided at its
inception. In this effort, a useful link between our two primary
texts is provided by examining some work done by Diophantus, by
Pappus, and by Viete. While the study of these writings is a
formidable enterprise indeed, the two volumes of Insights and
Manipulations, offering clear guidance and abundant help, greatly
alleviate the requisite labor.
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