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The book has 13 chapters, [1] whose topics include: Lines, the thickness of physically drawn or cut lines, and the problem of testing straightness of physical objects [2]; The construction of physical measuring and calculating devices including rulers, protractors, pantographs, planimeters, integrators, and slide rules [2] [3]
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Having a constant diameter, measured at varying angles around the shape, is often considered to be a simple measurement of roundness.This is misleading. [3]Although constant diameter is a necessary condition for roundness, it is not a sufficient condition for roundness: shapes exist that have constant diameter but are far from round.
Ding Yidong magic circles – numbers on each circle (solid colour) sum to 200 and numbers on each diameter (dashed grey) sum to 325. Ding Yidong was a mathematician contemporary with Yang Hui. In his magic circle with 6 rings, the unit numbers of the 5 outer rings, combined with the unit number of the center ring, form the following magic square:
Each of these is further divided into sections (which in other books would be called chapters) and sub-sections. An underlying theme of the book is the representation of the Euclidean plane as the plane of complex numbers, and the use of complex numbers as coordinates to describe geometric objects and their transformations. [1]
If you use a 3rd-party email app to access your AOL Mail account, you may need a special code to give that app permission to access your AOL account. Learn how to create and delete app passwords. Account Management · Apr 17, 2024
At the time of its original publication this book was called encyclopedic, [2] [3] and "likely to become and remain the standard for a long period". [2] It has since been called a classic, [5] [7] in part because of its unification of aspects of the subject previously studied separately in synthetic geometry, analytic geometry, projective geometry, and differential geometry. [5]
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