Measurement

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Intro

Contents

Reality and imagination

On problems

Part One. Size and Shape. In which we begin our investigation of abstract geometrical figures ; Symmetrical tiling and angle measurement ; Scaling and proportion ; Length, area, and volume ; The method of exhaustion and its consequences ; Polygons and trigonometry ; Conic sections and projective geometry ; Mechanical curves

Part Two. Time and Space. Containing some thoughts on mathematical motion ; Coordinate systems and dimension ; Motion as a numerical relationship ; Vector representation and mechanical relativity ; The measurement of velocity ; The differential calculus and its myriad uses ; Some final words of encouragement to the reader

Acknowledgments

Index