vi 



very simply, t...,. that tin- Nani*liing ,<" tin- discriminant is 

 <iry. Init also th- iii.it tin- 



quad rat if r|iiati< - a pair of .straight 1; 



It may also be mentioned lin> n tin- early par: 



tin- book, t\v or in..- < are given in CMnnertinn with 



a ppnif and tin- same demo list rat ion applies 



to each. It is h>p,,i that this will help t-> oonvinoe the 



B demonxiraii.'n. A mpimis 



index which niaiih * <>ne aim st instantly to turn to an\ thing 

 contained in the honk has also been added. 



The engineering student* at Cornell I'niversity study 

 Analytic Geometry during the tirM term of their freshman 

 year, and experience has .sh'-wii that it is 1,,-M \ n devote a 



lessons at the beginning of the term to a rapid review 



of those parts of the Algehra and Triton.. met r\- that are 

 essential t<> the reading of the Analytic (ieometry. Thu first 

 twenty -three pages are devoted to this matter, and may, of 



se, be omitted by those classes that take up the subject 

 immediate!;, adiug the Algebra and Trigonometry. 



The book contains little more than can be mastered by a 

 properly prepared student of average ability in from twelve 



til-teen v if less than that time can be devoted to 



-.VMi-k, the individual eaclier will knosv best what, parts 

 may be most wisely omitted by his pupils. A list of Lessonfl 

 short course of eleven weeks is, however, suggested on 

 the next two pages. 



few specific acknowledgments of indebtedness are in. 

 in foot-notes in the appropriate places in the book. Of the 

 large number of examples which are inserted, many are origi- 

 nal, while many others have come to be so common in . 

 books that no specific acknowledgment fr them can be 

 made. We take great pleasure in expressing here our 

 thanks to the other authors of this series of l.,,,ks for their 

 many helpful suggestions and criticisms; to our colh-a. 



I. I. Hutchinson and Dr. G. A. Miller, who have so 

 greatly assisted us in reading the proof, and the laitcr of 

 whom also read th<- manu^< ript before it went to press; 



dr. IVter Field, I-Yllow in Mathematics, and Mr. K. 

 A. Miller for solving the entii examples; and to 



uctor in Drawing j n Sihley College. 



he care with which lie lias made the figures. 



