Motion, Control, and Geometry Proceedings of a Symposium (1997) / Chapter Skim
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INTRODUCTION
INTRODUCTION
Pages 1-2
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. From the construction of the Great Pyramids and of Stonehenge, which both involved the transport and careful positioning of massive blocks or lintels, to the reckoning of celestial motions; from the Renaissance design or engineering of a prototype submarine, bicycle, or helicopter to latter-day satellite positioning or in viva intestinal exploration and examination; from the movements of subatomic particles to the meanderings of computer-modeled sidewinding snakes, geometry supplies an indispensable vocabulary for the mathematical description of whatever motions are observed, achievable, or sought.
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Geometry is a mathematical area too often neglected nowadays in a student's education. This publication will help adjust the control initially imposed about 2,300 years ago on one kind of "motion"-that of students entering Plato's Academy, where the following caveat was inscribed above the doorway: "Let no one ignorant of geometry enter here." Readers of these chapters will gain an appreciation of modern geometry and how it continues to play a crucial role in the context of motion control in cutting-edge science and technology.
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