Excerpt from The Elements of Analytical Geometry
The stereotype plates of my Elements of Analytical Geometry having become so much worn by long-continued use that it was thought desirable to renew them, I have improved the opportunity to make a thorough revision of the work. In doing this, it has been thought best to extend considerably the plan of the work, and accordingly I have not merely added a third part on Geometry of three dimensions, but have introduced new matter in nearly every section of the book. I have aimed to illustrate every portion of the subject, as far as practicable, by numerical examples, generally of the simplest kind, the main object being to make sure that the student understands the meaning of the formul? which he has learned. In making this revision I have been favored with the constant assistance of Prof. H. A. Newton, who has carefully examined every portion of the volume, and to whom I am indebted for numerous suggestions both as to the plan and execution of the work. It is hoped that the volume in its present form will be found adapted to the wants of mathematical students in our colleges and higher schools; and that, if any should desire to prosecute this subject further, they will find this volume a good introduction to larger and more difficult treatises.
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