Average Reviews:
(More customer reviews)I have used this book in my C++ class to create C++ programming assignments in graphics mode. For example, I have asked my students to draw a base circle on the screen. Then draw a set of circles each one with a center on the base circle and tangent to a fixed diameter of the base circle. The result is a BEAUTIFUL design whose outline is a famous curve--a nephroid. This assignment would be impossible without this book. This book has descriptions of several ways to draw scores of interesting and curious curves. It is a classic for anyone who will work hard to understand the math and wants to graphically construct symmetric designs. I have two copies and am looking for more to give as gifts to my talented students.
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This book opens up an important field of mathematics at an elementary level, one in which the element of aesthetic pleasure, both in the shapes of the curves and in their mathematical relationships, is dominant. This book describes methods of drawing plane curves, beginning with conic sections (parabola, ellipse and hyperbola), and going on to cycloidal curves, spirals, glissettes, pedal curves, strophoids and so on. In general, 'envelope methods' are used. There are twenty-five full-page plates and over ninety smaller diagrams in the text. The book can be used in schools, but will also be a reference for draughtsmen and mechanical engineers. As a text on advanced plane geometry it should appeal to pure mathematicians with an interest in geometry, and to students for whom Euclidean geometry is not a principal study.
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