A Book of Curves: Contents
A Book of Curves: Contents
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曲线之书：内容
DOI：
10.1017/cbo9780511569340
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发表时间：
1961
期刊：
影响因子：
--
通讯作者：
E. Lockwood
中科院分区：
文献类型：
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作者：
E. Lockwood
平面曲线提供了一个丰富的和在某种程度上尚未探索的研究领域，可以从一个相当初级的水平来接近。任何人谁可以画一个圆与一个给定的中心和一个给定的半径可以画一个心形线或limaçon。任何会使用三角板的人都能画抛物线或环索线。任何人只要知道欧几里得的几个简单命题，就能推导出这些美丽而迷人的曲线的许多性质，在学校里，它们可以用来指导和娱乐各级班级。在一个混合能力的班级里，一些人会继续理论，而另一些人会继续绘画。教师可以以各种方式使用这本书，但它也是为个人读者而写的。人们希望它能在学校图书馆中占有一席之地，也希望它能被六年级的学生所使用，无论是文科还是理科学生，他们有时间在主要学习之外做一些悠闲的工作，也许有时间重新获得数学本身的乐趣，而这种乐趣现在很少能在考试大纲的压力和科学与工业的要求下幸存下来。
Plane curves offer a rich and to some extent unexplored field of study which may be approached from a quite elementary level. Anyone who can draw a circle with a given centre and a given radius can draw a cardioid or a limaçon. Anyone who can use a set square can draw a parabola or a strophoid. Anyone who knows a few of the simpler propositions of Euclid can deduce a number of properties of these beautiful and fascinating curves.In school they may be used to instruct and entertain classes at all levels. In a class of mixed ability some will pursue the theory while others continue with the drawing. Teachers may use the book in a variety of ways, but it has been written also for the individual reader. It is hoped that it will find a place in school libraries, and will be used too by sixth-form pupils, whether on the arts or the science side, who have time for some leisurely work off the line of their main studies, time perhaps to recapture some of the delight in mathematics for its own sake that nowadays so rarely survives the pressure of examination syllabuses and the demands of science and industry.