Book of Curves 1st Edition by E. H. Lockwood (PDF)

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. 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.

User’s Reviews

Editorial Reviews: Book Description This book examines the shape of curves and their mathematical relationships.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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.

⭐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.

⭐Ye gods, what a blast from the past.I ran into this book when I was 13 years old. It changed my life.It told me enough to draft these beautiful things, before I’d been through the first semester of high school algebra. It certainly lit a fire in my mind. By the time I did take that course, during my freshman year, I was motivated to the point where I tore through the first year’s material in about a month and a half. And kept right on going.I think I can honestly say it was probably the most personally influential book I’ve ever read. I doubt I’d have done my graduate work in mathematics, had I not chanced across this book a dozen years prior.It’s not something that would appeal to most adults. But if you want to put a stepladder to mathematics in front of a kid, and give them a very good personal reason to use it, I cannot think of a better tool.

⭐This ebook is completely unreadable. The pages are set in landscape format and the pages are randomly assorted. In order to read this, I would need to print out all the pages and reassemble the book. This is ridiculous since getting the text on Kindle is posited on it being readable in a more convenient electronic format.

⭐The book is scanned wrong. It is top of page rotated 90 degrees CCW then the next page is the bottom of the page rotated CCW.If the publisher ever fixes the scanning the content is worth it.

⭐This is a beautiful book for anyone with an interest in mathematics. I first came across it many years ago in our school library. When I was older I bought myself a copy – this copy was purchased for a grandson who taught himself A Level mathematics. The mathematical curves are amazing and several occur in nature. A few can be reproduced with a pencil, ruler and compass, but you need A level Maths/Further Maths in order to follow the more technical descriptions.

⭐this is a classic text that is quite difficult to obtain, certainly in original hard copy….

⭐Great book for maths nerds. Need to do some old fashioned geometry with a set square and compasses to do the exercises – worth a go

⭐Un digiuno di matematica lo trova non fruibile per metà e un ìo stidente inutile per il tutto, salvo le figure e i nomiThe Kindle version is horrible, each page is rotated sidewise and split it two.

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