Solid Geometry, With Problems and Applications (Classic Reprint)

THE important features by which the Solid Geometry seeks to accomplish the two main purposes stated in the preface of the Plane Geometry are: 1. The concepts of three-dimensional space are made clear by many simple illustrations and exercises. At best the average pupil comes but slowly and gradually to a full comprehension of space forms and relations. Pages 4, 5, 8, 10, 11, 17, 18, etc., will show how the pupil is aided in understanding and appreciating these forms and relations at the outset. In this connection, Chapter VI on Graphic Representation is of fundamental importance, since it exhibits to the eye the functional relations among varying geometric forms. 2. Interesting concrete applications are interspersed throughout the text. It is the aim profoundly to impress upon the mind of the pupil the practical significance of certain fundamental theorems in solid geometry. For instance, how many pupils in the ordinary study of the theorems on the ratios of surfaces and volumes of similar figures realize that there is in them any connection with the possibility of successfully launching a steamship a mile long? See the exercises on pages 112, 113, 166, 167. For illustrations of other interesting and useful applications, see pages 59, 66, 67, 156, 157. About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology. Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org