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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Book Description
Editorial Reviews
Book Description
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.
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Most Helpful Customer Reviews
18 of 19 people found the following review helpful:
4.0 out of 5 stars
A high school teacher likes this book,
By Michael A. Stueben (Thomas Jefferson H.S. of Science and Tech, (Alexandria, VA)) - See all my reviews
This review is from: Book of Curves (Hardcover)
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.
3 of 16 people found the following review helpful:
2.0 out of 5 stars
Blah, blah, blah... ZZZZZZZZZZZZZZZZ,
By Charles Roberts (Des Moines, IA) - See all my reviews
This review is from: Book of Curves (Hardcover)
The author does know what he is talking about, but he presents the material in such an uninteresting fashion that I actually fell asleep while reading it! It also may be too difficult for people that are not "mathematically inclined." He should have left out some details and instead put in some more stories and colorful language so that the reader will not feel like it is fourth period calculus with that monotone teacher. It is good for learning the material, but it is very difficult just to read for any reason.
2 of 17 people found the following review helpful:
1.0 out of 5 stars
boring,
By A Customer
This review is from: Book of Curves (Hardcover)
i fell asleep. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz! ooop
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Key Phrases - Statistically Improbable Phrases (SIPs):
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double generation, pedal equation, right strophoid, negative pedal, cycloidal arch, pedal curve, instantaneous centre, equal spiral, polar equation, fixed circle, intrinsic equation, equiangular spiral, rolling circle, fixed straight line, circle whose centre, conjugate axis, radiant point, inverse points, circle rolling, rectangular hyperbola, parametric equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Cartesian, Further Drawing Exercises, First Method, Second Method, Definition Let, Pascal's Hexagon, James Bernoulli, Trisectrix of Maclaurin, Further Exercises Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
double generation, pedal equation, right strophoid, negative pedal, cycloidal arch, pedal curve, instantaneous centre, equal spiral, polar equation, fixed circle, intrinsic equation, equiangular spiral, rolling circle, fixed straight line, circle whose centre, conjugate axis, radiant point, inverse points, circle rolling, rectangular hyperbola, parametric equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Cartesian, Further Drawing Exercises, First Method, Second Method, Definition Let, Pascal's Hexagon, James Bernoulli, Trisectrix of Maclaurin, Further Exercises Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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